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overflow: hidden; text-overflow: ellipsis; -webkit-line-clamp: 3; -webkit-box-orient: vertical; }</style><div class="col-xs-12 clearfix"><div class="u-floatLeft"><h1 class="PageHeader-title u-m0x u-fs30">Theoretical Condensed Matter Physics</h1><div class="u-tcGrayDark">4,340 Followers</div><div class="u-tcGrayDark u-mt2x">Recent papers in <b>Theoretical Condensed Matter Physics</b></div></div></div></div></div></div><div class="TabbedNavigation"><div class="container"><div class="row"><div class="col-xs-12 clearfix"><ul class="nav u-m0x u-p0x list-inline u-displayFlex"><li class="active"><a href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Top Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics/MostCited">Most Cited Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics/MostDownloaded">Most Downloaded Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics/MostRecent">Newest Papers</a></li><li><a class="" href="https://www.academia.edu/People/Theoretical_Condensed_Matter_Physics">People</a></li></ul></div><style type="text/css">ul.nav{flex-direction:row}@media(max-width: 567px){ul.nav{flex-direction:column}.TabbedNavigation li{max-width:100%}.TabbedNavigation li.active{background-color:var(--background-grey, #dddde2)}.TabbedNavigation li.active:before,.TabbedNavigation li.active:after{display:none}}</style></div></div></div><div class="container"><div class="row"><div class="col-xs-12"><div class="u-displayFlex"><div class="u-flexGrow1"><div class="works"><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_37113165" data-work_id="37113165" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/37113165/Quantum_Vortex_Electron_Formed_From_Superluminal_Double_Helix_Photon_in_Electron_Positron_Pair_Production">Quantum-Vortex Electron Formed From Superluminal Double-Helix Photon in Electron-Positron Pair Production</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A superluminal quantum-vortex model of the electron and the positron is produced from a superluminal double-helix model of the photon during electron-positron pair production. The two oppositely-charged (with Q = ±e sqrt (2/α) = 16.6e)... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_37113165" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A superluminal quantum-vortex model of the electron and the positron is produced from a superluminal double-helix model of the photon during electron-positron pair production. The two oppositely-charged (with Q = ±e sqrt (2/α) = 16.6e) open-helix spin-½ half-photons compose the double-helix photon. These half-photons separate and curl up their separated superluminal single-helical trajectories to form an electrically-charged superluminal closed-helix spin-½ quantum-vortex electron model and a corresponding positron model. The helical radius and the Dirac equation's zitterbewegung angular frequency of the quantum vortex electron and positron models equal the helical radius and zitterbewegung angular frequency of the two spin-½ half-photons, each of energy E = mc^2 , that composed the double-helix photon model of energy E = 2mc^2 from which the electron and positron models were produced. The photon and electron models are also compatible when a photon of energy E > 2mc^2 produces a relativistic electron-positron pair. 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The two oppositely-charged (with Q = ±e sqrt (2/α) = 16.6e) open-helix spin-½ half-photons compose the double-helix photon. These half-photons separate and curl up their separated superluminal single-helical trajectories to form an electrically-charged superluminal closed-helix spin-½ quantum-vortex electron model and a corresponding positron model. The helical radius and the Dirac equation's zitterbewegung angular frequency of the quantum vortex electron and positron models equal the helical radius and zitterbewegung angular frequency of the two spin-½ half-photons, each of energy E = mc^2 , that composed the double-helix photon model of energy E = 2mc^2 from which the electron and positron models were produced. The photon and electron models are also compatible when a photon of energy E \u003e 2mc^2 produces a relativistic electron-positron pair. 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Spectroscopy","url":"https://www.academia.edu/Documents/in/Atomic_Spectroscopy?f_ri=99372"},{"id":24373,"name":"Atomic Force Microscopy","url":"https://www.academia.edu/Documents/in/Atomic_Force_Microscopy?f_ri=99372"},{"id":30488,"name":"Atomic Layer Deposition","url":"https://www.academia.edu/Documents/in/Atomic_Layer_Deposition?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_44055855 coauthored" data-work_id="44055855" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/44055855/A_Special_Relationship_between_Matter_Energy_Information_and_Consciousness">A Special Relationship between Matter, Energy, Information, and Consciousness</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This paper discusses the advantages of describing the universe, or nature, in terms of information and consciousness. Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_44055855" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This paper discusses the advantages of describing the universe, or nature, in terms of information and consciousness. Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations of trying to understand everything in terms of matter and energy only. However, if everything, including matter, energy, life, and mental processes, is described in terms of information and consciousness, much progress can be made in the search for the ultimate theory of the universe. As brilliant and successful as physics and chemistry have been over the last two centuries, it is important that nature is not viewed solely in terms of matter and energy. Two additional components are needed to unlock her secrets. While extensive writing exists that describes the connection between matter and energy and their physical basis, little work has been done to learn the special relationship between matter, energy, information, and consciousness.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/44055855" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="7b749dc8a425067c7a1311ed18c4b8f1" rel="nofollow" data-download="{"attachment_id":64397880,"asset_id":44055855,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/64397880/download_file?st=MTc0MDYwMzY2MSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="44203063" rel="nofollow" href="https://independent.academia.edu/JournalIJRAP">International Journal of Recent advances in Physics (IJRAP)</a><script data-card-contents-for-user="44203063" type="text/json">{"id":44203063,"first_name":"International Journal of Recent advances in Physics","last_name":"(IJRAP)","domain_name":"independent","page_name":"JournalIJRAP","display_name":"International Journal of Recent advances in Physics (IJRAP)","profile_url":"https://independent.academia.edu/JournalIJRAP?f_ri=99372","photo":"https://0.academia-photos.com/44203063/11777797/18798230/s65_international_journal_of_recent_advances_in_physics._ijrap_.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-44055855">+1</span><div class="hidden js-additional-users-44055855"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://euclid.academia.edu/EdihoLokanga">Ediho Lokanga</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-44055855'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-44055855').html(); 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Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations of trying to understand everything in terms of matter and energy only. However, if everything, including matter, energy, life, and mental processes, is described in terms of information and consciousness, much progress can be made in the search for the ultimate theory of the universe. As brilliant and successful as physics and chemistry have been over the last two centuries, it is important that nature is not viewed solely in terms of matter and energy. Two additional components are needed to unlock her secrets. While extensive writing exists that describes the connection between matter and energy and their physical basis, little work has been done to learn the special relationship between matter, energy, information, and consciousness.","downloadable_attachments":[{"id":64397880,"asset_id":44055855,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":44203063,"first_name":"International Journal of Recent advances in Physics","last_name":"(IJRAP)","domain_name":"independent","page_name":"JournalIJRAP","display_name":"International Journal of Recent advances in Physics (IJRAP)","profile_url":"https://independent.academia.edu/JournalIJRAP?f_ri=99372","photo":"https://0.academia-photos.com/44203063/11777797/18798230/s65_international_journal_of_recent_advances_in_physics._ijrap_.jpg"},{"id":73224498,"first_name":"Ediho","last_name":"Lokanga","domain_name":"euclid","page_name":"EdihoLokanga","display_name":"Ediho Lokanga","profile_url":"https://euclid.academia.edu/EdihoLokanga?f_ri=99372","photo":"https://0.academia-photos.com/73224498/18682857/18640853/s65_ediho.lokanga.png"}],"research_interests":[{"id":491,"name":"Information Technology","url":"https://www.academia.edu/Documents/in/Information_Technology?f_ri=99372","nofollow":true},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":2328,"name":"Soft Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Soft_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":4818,"name":"Dark Matter","url":"https://www.academia.edu/Documents/in/Dark_Matter?f_ri=99372"},{"id":5412,"name":"Energy","url":"https://www.academia.edu/Documents/in/Energy?f_ri=99372"},{"id":5481,"name":"Soft Matter","url":"https://www.academia.edu/Documents/in/Soft_Matter?f_ri=99372"},{"id":27418,"name":"Digital Physics","url":"https://www.academia.edu/Documents/in/Digital_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":171836,"name":"Nano Particles","url":"https://www.academia.edu/Documents/in/Nano_Particles?f_ri=99372"},{"id":173028,"name":"Soil organic matter","url":"https://www.academia.edu/Documents/in/Soil_organic_matter?f_ri=99372"},{"id":266621,"name":"Electrons","url":"https://www.academia.edu/Documents/in/Electrons?f_ri=99372"},{"id":631492,"name":"Modal Particles","url":"https://www.academia.edu/Documents/in/Modal_Particles?f_ri=99372"},{"id":809334,"name":"Interference of Particles/strings/waves","url":"https://www.academia.edu/Documents/in/Interference_of_Particles_strings_waves?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_38973507" data-work_id="38973507" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/38973507/Scattering_matrix_approach_to_non_stationary_quantum_transport">Scattering matrix approach to non-stationary quantum transport</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">Full, but draft version of the book with the same title</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/38973507" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa 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itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="2866697" href="https://nonlinearphotonics.academia.edu/MykhailoMoskalets">Mykhailo Moskalets</a><script data-card-contents-for-user="2866697" type="text/json">{"id":2866697,"first_name":"Mykhailo","last_name":"Moskalets","domain_name":"nonlinearphotonics","page_name":"MykhailoMoskalets","display_name":"Mykhailo Moskalets","profile_url":"https://nonlinearphotonics.academia.edu/MykhailoMoskalets?f_ri=99372","photo":"https://0.academia-photos.com/2866697/945397/76814122/s65_michael.moskalets.jpg"}</script></span></span></li><li class="js-paper-rank-work_38973507 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="38973507"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 38973507, container: ".js-paper-rank-work_38973507", }); 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href="https://www.academia.edu/Documents/in/Condensed_Matter_Theory">Condensed Matter Theory</a><script data-card-contents-for-ri="48068" type="text/json">{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=38973507]'), work: {"id":38973507,"title":"Scattering matrix approach to non-stationary quantum transport","created_at":"2019-04-29T13:03:59.197-07:00","url":"https://www.academia.edu/38973507/Scattering_matrix_approach_to_non_stationary_quantum_transport?f_ri=99372","dom_id":"work_38973507","summary":"Full, but draft version of the book with the same title","downloadable_attachments":[{"id":59078275,"asset_id":38973507,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":2866697,"first_name":"Mykhailo","last_name":"Moskalets","domain_name":"nonlinearphotonics","page_name":"MykhailoMoskalets","display_name":"Mykhailo Moskalets","profile_url":"https://nonlinearphotonics.academia.edu/MykhailoMoskalets?f_ri=99372","photo":"https://0.academia-photos.com/2866697/945397/76814122/s65_michael.moskalets.jpg"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true},{"id":32377,"name":"Mesoscopic Physics","url":"https://www.academia.edu/Documents/in/Mesoscopic_Physics?f_ri=99372","nofollow":true},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true},{"id":54033,"name":"Quantum Transport","url":"https://www.academia.edu/Documents/in/Quantum_Transport?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":227534,"name":"Mesoscopic Physics, Electron Transport, Nanomechanics","url":"https://www.academia.edu/Documents/in/Mesoscopic_Physics_Electron_Transport_Nanomechanics?f_ri=99372"},{"id":987485,"name":"Nanoelectronics: Quantum Transport","url":"https://www.academia.edu/Documents/in/Nanoelectronics_Quantum_Transport?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_29383664" data-work_id="29383664" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/29383664/Topological_Quantum_Computation_using_Abelian_Anyons">Topological Quantum Computation using Abelian Anyons</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Topological quantum computation using abelian anyons in Kitaev model is studied. We initially discuss the basics of quantum computation and then present a brief description of topological quantum computation using anyons. The exact... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_29383664" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Topological quantum computation using abelian anyons in Kitaev model is studied. We initially discuss the basics of quantum computation and then present a brief description of topological quantum computation using anyons. The exact solution of the 2D Kitaev model and the emergence of abelian anyons is also described. We also discuss quantum error correction and error tolerant quantum memory using Kitaev’s toric code. Abelian anyonic quantum computation, though not completely fault-tolerant, the universal gates can be realized by including some non topological operations with the topological operations. We verify an already proposed model to realize the universal gates in 2D Kitaev lattice by explicitly investigating the theoretical implementation. We find that the adiabatic transport of anyons for braiding cannot be directly represented by some loop operator if they are to be used for a controlled gate operation.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/29383664" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="55e8c895ccbcd05c0d6224efb5ffb3bd" rel="nofollow" data-download="{"attachment_id":53437634,"asset_id":29383664,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/53437634/download_file?st=MTc0MDYwMzY2MSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="22030350" href="https://uni-koln.academia.edu/APREMJOY">APREM P JOY</a><script data-card-contents-for-user="22030350" type="text/json">{"id":22030350,"first_name":"APREM","last_name":"JOY","domain_name":"uni-koln","page_name":"APREMJOY","display_name":"APREM P JOY","profile_url":"https://uni-koln.academia.edu/APREMJOY?f_ri=99372","photo":"https://0.academia-photos.com/22030350/6024117/95019543/s65_aprem.joy.jpg"}</script></span></span></li><li class="js-paper-rank-work_29383664 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="29383664"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 29383664, container: ".js-paper-rank-work_29383664", }); 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$(".js-view-count[data-work-id=29383664]").text(description); $(".js-view-count-work_29383664").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_29383664").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="29383664"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="518" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="10092" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Field_Theory">Quantum Field Theory</a>, <script data-card-contents-for-ri="10092" type="text/json">{"id":10092,"name":"Quantum Field Theory","url":"https://www.academia.edu/Documents/in/Quantum_Field_Theory?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="28422" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Computation">Quantum Computation</a>, <script data-card-contents-for-ri="28422" type="text/json">{"id":28422,"name":"Quantum Computation","url":"https://www.academia.edu/Documents/in/Quantum_Computation?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=29383664]'), work: {"id":29383664,"title":"Topological Quantum Computation using Abelian Anyons","created_at":"2016-10-24T00:50:05.320-07:00","url":"https://www.academia.edu/29383664/Topological_Quantum_Computation_using_Abelian_Anyons?f_ri=99372","dom_id":"work_29383664","summary":"Topological quantum computation using abelian anyons in Kitaev model is studied. We initially discuss the basics of quantum computation and then present a brief description of topological quantum computation using anyons. The exact solution of the 2D Kitaev model and the emergence of abelian anyons is also described. We also discuss quantum error correction and error tolerant quantum memory using Kitaev’s toric code. Abelian anyonic quantum computation, though not completely fault-tolerant, the universal gates can be realized by including some non topological operations with the topological operations. We verify an already proposed model to realize the universal gates in 2D Kitaev lattice by explicitly investigating the theoretical implementation. We find that the adiabatic transport of anyons for braiding cannot be directly represented by some loop operator if they are to be used for a controlled gate operation.","downloadable_attachments":[{"id":53437634,"asset_id":29383664,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":22030350,"first_name":"APREM","last_name":"JOY","domain_name":"uni-koln","page_name":"APREMJOY","display_name":"APREM P JOY","profile_url":"https://uni-koln.academia.edu/APREMJOY?f_ri=99372","photo":"https://0.academia-photos.com/22030350/6024117/95019543/s65_aprem.joy.jpg"}],"research_interests":[{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true},{"id":10092,"name":"Quantum Field Theory","url":"https://www.academia.edu/Documents/in/Quantum_Field_Theory?f_ri=99372","nofollow":true},{"id":28422,"name":"Quantum Computation","url":"https://www.academia.edu/Documents/in/Quantum_Computation?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":201502,"name":"Many-Body Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Many-Body_Quantum_Mechanics?f_ri=99372"},{"id":992306,"name":"Topological Quantum Computing","url":"https://www.academia.edu/Documents/in/Topological_Quantum_Computing?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_48998317" data-work_id="48998317" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/48998317/A_2D_model_for_the_surface_of_the_Second_Order_Topological_Insulator">A 2D model for the surface of the Second-Order Topological Insulator</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We present and study the Bernevig, Hughes, and Zhang (BHZ) model of a 2-dimensional first- order topological insulator under an external magnetic field B. The applied gauge field is accounted for by performing a Peierls substitution which... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_48998317" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We present and study the Bernevig, Hughes, and Zhang (BHZ) model of a 2-dimensional first- order topological insulator under an external magnetic field B. The applied gauge field is accounted for by performing a Peierls substitution which modifies the motion of the electrons on the two- dimensional square lattice. We discuss how this model can be used to describe the surface of a three-dimensional, second-order topological insulator (SOTI). We derive an effective continuum theory for the Landau level (LL) energies and wavefunctions in the BHZ model and compare it to numerical lattice calculations. The results are then compared to the SOTI’s continuum surface theory in an attempt to explain three inconsistencies: the deviation of the lowest LL from the surface gap; the asymmetry of ±nth LLs around zero and; the fact that the SOTI’s negative LLs are missing. Moreover, we quantify the effect of an increasing magnetic field on the system’s energies via Hofstadter’s butterfly, considering the various regimes of validity of our previous continuum theories. It is determined that the discrepancies between surface theory and lattice model simulations can be resolved by keeping terms up to O(k2) in the SOTI’s surface theory, which can be thought of as a momentum-dependent mass term.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/48998317" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="6daf168e92c8de4a9478811790b546b9" rel="nofollow" data-download="{"attachment_id":67386974,"asset_id":48998317,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/67386974/download_file?st=MTc0MDYwMzY2MSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="125082595" href="https://mcgill.academia.edu/LeoPaul">Leo P B Goutte</a><script data-card-contents-for-user="125082595" type="text/json">{"id":125082595,"first_name":"Leo","last_name":"Goutte","domain_name":"mcgill","page_name":"LeoPaul","display_name":"Leo P B Goutte","profile_url":"https://mcgill.academia.edu/LeoPaul?f_ri=99372","photo":"https://0.academia-photos.com/125082595/31739506/52337795/s65_leo.paul.jpeg"}</script></span></span></li><li class="js-paper-rank-work_48998317 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="48998317"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 48998317, container: ".js-paper-rank-work_48998317", }); });</script></li><li class="js-percentile-work_48998317 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 48998317; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_48998317"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_48998317 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="48998317"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 48998317; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=48998317]").text(description); $(".js-view-count-work_48998317").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_48998317").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="48998317"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="32745" rel="nofollow" href="https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems">Strongly-correlated electron systems</a>, <script data-card-contents-for-ri="32745" type="text/json">{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=48998317]'), work: {"id":48998317,"title":"A 2D model for the surface of the Second-Order Topological Insulator","created_at":"2021-05-20T16:59:07.325-07:00","url":"https://www.academia.edu/48998317/A_2D_model_for_the_surface_of_the_Second_Order_Topological_Insulator?f_ri=99372","dom_id":"work_48998317","summary":"We present and study the Bernevig, Hughes, and Zhang (BHZ) model of a 2-dimensional first- order topological insulator under an external magnetic field B. The applied gauge field is accounted for by performing a Peierls substitution which modifies the motion of the electrons on the two- dimensional square lattice. We discuss how this model can be used to describe the surface of a three-dimensional, second-order topological insulator (SOTI). We derive an effective continuum theory for the Landau level (LL) energies and wavefunctions in the BHZ model and compare it to numerical lattice calculations. The results are then compared to the SOTI’s continuum surface theory in an attempt to explain three inconsistencies: the deviation of the lowest LL from the surface gap; the asymmetry of ±nth LLs around zero and; the fact that the SOTI’s negative LLs are missing. Moreover, we quantify the effect of an increasing magnetic field on the system’s energies via Hofstadter’s butterfly, considering the various regimes of validity of our previous continuum theories. It is determined that the discrepancies between surface theory and lattice model simulations can be resolved by keeping terms up to O(k2) in the SOTI’s surface theory, which can be thought of as a momentum-dependent mass term.","downloadable_attachments":[{"id":67386974,"asset_id":48998317,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":125082595,"first_name":"Leo","last_name":"Goutte","domain_name":"mcgill","page_name":"LeoPaul","display_name":"Leo P B Goutte","profile_url":"https://mcgill.academia.edu/LeoPaul?f_ri=99372","photo":"https://0.academia-photos.com/125082595/31739506/52337795/s65_leo.paul.jpeg"}],"research_interests":[{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_79406833" data-work_id="79406833" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/79406833/The_Proposed_Cosmological_Law_of_Consciousness_Constitution_Interaction">The Proposed Cosmological Law of Consciousness-Constitution Interaction</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A discussion of two distinct phenomena pertaining to creation of ALL THAT THERE IS in the Cosmos (consciousness and constitution) has been presented. Clearly, consciousness creates and manifests constitution as it converts energy from the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_79406833" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A discussion of two distinct phenomena pertaining to creation of ALL THAT THERE IS in the Cosmos (consciousness and constitution) has been presented. Clearly, consciousness creates and manifests constitution as it converts energy from the state of free flowing consciousness pertaining to sentient energy into a congealed form referred to as 'constitution.' In this regard, constitution is the very product of consciousness. In other words, consciousness provides the foundation for ALL THAT THERE IS in the Cosmos. The interaction of constitution with consciousness is elucidated with the concluding deduction that there must exist a law governing the effect of constitution on consciousness. This law labelled as the 'Cosmological Law of Consciousness-Constitution Interaction' is proposed that simply states, constitution retards the natural frequency of conscious vibration, essentially saying that 'constitution impedes consciousness.' The implication of this law on a conscious entity with particular reference to Earth humans has been explicated. It is inferred that it is not surprising that the present Earth humans, with their reduced genetic structure as typified by a double helical strands of DNA, are confined to the currently low dimensional consciousness of the 3-D Earth sphere. It is further expounded that the next stage in human evolution would entails a genetic upgrade to the activation of more DNA strands, finally culminating in full activation of our 12 DNA-6 RNA crystalline strand silicate-based structure that is commensurate with a higher dimensional consciousness (5 th-12 th). This body structure has inherently a much higher natural frequency and may be described to be much 'lighter' both in terms of being more luminous and transparent with a much higher light quotient, as well as being 'light' (less dense or compacted) in terms of mass exhibiting a lower weight (up to 5 times less when going from the 3 rd to the 5 th dimension alone). The higher dimensional matter is also much more ordered or crystalline (as opposed to being amorphous on the 3 rd dimensional Earth), which is why it is commonly referred to as being restored to the 'Crystalline Light Body' or 'Diamond Sun Body' DNA Structure.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/79406833" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f5d50ff9a9a34ae6ded07fcf41ab3f0c" rel="nofollow" data-download="{"attachment_id":86132702,"asset_id":79406833,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/86132702/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="49852223" href="https://independent.academia.edu/MohsenPaulSarfarazi">Mohsen Paul Sarfarazi</a><script data-card-contents-for-user="49852223" type="text/json">{"id":49852223,"first_name":"Mohsen Paul","last_name":"Sarfarazi","domain_name":"independent","page_name":"MohsenPaulSarfarazi","display_name":"Mohsen Paul Sarfarazi","profile_url":"https://independent.academia.edu/MohsenPaulSarfarazi?f_ri=99372","photo":"https://0.academia-photos.com/49852223/14993974/15735910/s65_mohsen_paul.sarfarazi.jpg"}</script></span></span></li><li class="js-paper-rank-work_79406833 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="79406833"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 79406833, container: ".js-paper-rank-work_79406833", }); });</script></li><li class="js-percentile-work_79406833 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 79406833; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_79406833"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_79406833 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="79406833"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 79406833; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=79406833]").text(description); $(".js-view-count-work_79406833").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_79406833").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="79406833"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">19</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="531" rel="nofollow" href="https://www.academia.edu/Documents/in/Organic_Chemistry">Organic Chemistry</a>, <script data-card-contents-for-ri="531" type="text/json">{"id":531,"name":"Organic Chemistry","url":"https://www.academia.edu/Documents/in/Organic_Chemistry?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="3344" rel="nofollow" href="https://www.academia.edu/Documents/in/Metaphysics_of_Consciousness">Metaphysics of Consciousness</a>, <script data-card-contents-for-ri="3344" type="text/json">{"id":3344,"name":"Metaphysics of Consciousness","url":"https://www.academia.edu/Documents/in/Metaphysics_of_Consciousness?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="4818" rel="nofollow" href="https://www.academia.edu/Documents/in/Dark_Matter">Dark Matter</a><script data-card-contents-for-ri="4818" type="text/json">{"id":4818,"name":"Dark Matter","url":"https://www.academia.edu/Documents/in/Dark_Matter?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=79406833]'), work: {"id":79406833,"title":"The Proposed Cosmological Law of Consciousness-Constitution Interaction","created_at":"2022-05-18T15:43:25.334-07:00","url":"https://www.academia.edu/79406833/The_Proposed_Cosmological_Law_of_Consciousness_Constitution_Interaction?f_ri=99372","dom_id":"work_79406833","summary":"A discussion of two distinct phenomena pertaining to creation of ALL THAT THERE IS in the Cosmos (consciousness and constitution) has been presented. Clearly, consciousness creates and manifests constitution as it converts energy from the state of free flowing consciousness pertaining to sentient energy into a congealed form referred to as 'constitution.' In this regard, constitution is the very product of consciousness. In other words, consciousness provides the foundation for ALL THAT THERE IS in the Cosmos. The interaction of constitution with consciousness is elucidated with the concluding deduction that there must exist a law governing the effect of constitution on consciousness. This law labelled as the 'Cosmological Law of Consciousness-Constitution Interaction' is proposed that simply states, constitution retards the natural frequency of conscious vibration, essentially saying that 'constitution impedes consciousness.' The implication of this law on a conscious entity with particular reference to Earth humans has been explicated. It is inferred that it is not surprising that the present Earth humans, with their reduced genetic structure as typified by a double helical strands of DNA, are confined to the currently low dimensional consciousness of the 3-D Earth sphere. It is further expounded that the next stage in human evolution would entails a genetic upgrade to the activation of more DNA strands, finally culminating in full activation of our 12 DNA-6 RNA crystalline strand silicate-based structure that is commensurate with a higher dimensional consciousness (5 th-12 th). This body structure has inherently a much higher natural frequency and may be described to be much 'lighter' both in terms of being more luminous and transparent with a much higher light quotient, as well as being 'light' (less dense or compacted) in terms of mass exhibiting a lower weight (up to 5 times less when going from the 3 rd to the 5 th dimension alone). The higher dimensional matter is also much more ordered or crystalline (as opposed to being amorphous on the 3 rd dimensional Earth), which is why it is commonly referred to as being restored to the 'Crystalline Light Body' or 'Diamond Sun Body' DNA Structure.","downloadable_attachments":[{"id":86132702,"asset_id":79406833,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":49852223,"first_name":"Mohsen Paul","last_name":"Sarfarazi","domain_name":"independent","page_name":"MohsenPaulSarfarazi","display_name":"Mohsen Paul Sarfarazi","profile_url":"https://independent.academia.edu/MohsenPaulSarfarazi?f_ri=99372","photo":"https://0.academia-photos.com/49852223/14993974/15735910/s65_mohsen_paul.sarfarazi.jpg"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":531,"name":"Organic Chemistry","url":"https://www.academia.edu/Documents/in/Organic_Chemistry?f_ri=99372","nofollow":true},{"id":3344,"name":"Metaphysics of Consciousness","url":"https://www.academia.edu/Documents/in/Metaphysics_of_Consciousness?f_ri=99372","nofollow":true},{"id":4818,"name":"Dark Matter","url":"https://www.academia.edu/Documents/in/Dark_Matter?f_ri=99372","nofollow":true},{"id":8779,"name":"Self Consciousness","url":"https://www.academia.edu/Documents/in/Self_Consciousness?f_ri=99372"},{"id":9040,"name":"Consciousness","url":"https://www.academia.edu/Documents/in/Consciousness?f_ri=99372"},{"id":17607,"name":"Evolution of Consciousness","url":"https://www.academia.edu/Documents/in/Evolution_of_Consciousness?f_ri=99372"},{"id":40633,"name":"Consciousness Studies","url":"https://www.academia.edu/Documents/in/Consciousness_Studies?f_ri=99372"},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372"},{"id":51567,"name":"Universe","url":"https://www.academia.edu/Documents/in/Universe?f_ri=99372"},{"id":61352,"name":"Antimatter","url":"https://www.academia.edu/Documents/in/Antimatter?f_ri=99372"},{"id":90905,"name":"Phenomenal Consciousness","url":"https://www.academia.edu/Documents/in/Phenomenal_Consciousness?f_ri=99372"},{"id":93741,"name":"Cosmos","url":"https://www.academia.edu/Documents/in/Cosmos?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":373484,"name":"Antimatter Physics","url":"https://www.academia.edu/Documents/in/Antimatter_Physics?f_ri=99372"},{"id":970387,"name":"Organic Matter","url":"https://www.academia.edu/Documents/in/Organic_Matter?f_ri=99372"},{"id":1438004,"name":"Química Orgánica","url":"https://www.academia.edu/Documents/in/Qu%C3%ADmica_Org%C3%A1nica?f_ri=99372"},{"id":1500809,"name":"Physics, Antimatter Physics, Cosmology","url":"https://www.academia.edu/Documents/in/Physics_Antimatter_Physics_Cosmology?f_ri=99372"},{"id":3405853,"name":"Matter and Antimatter","url":"https://www.academia.edu/Documents/in/Matter_and_Antimatter?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_44268400" data-work_id="44268400" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/44268400/On_the_Parallel_Antiparallel_Dimensional_System_and_the_Worlds_of_Matter_Antimatter_of_the_Nebadon_Universe_Part_II_of_A_Tale_of_the_Two_Suns">On the Parallel-Antiparallel Dimensional System and the Worlds of Matter-Antimatter of the Nebadon Universe - Part II of: A Tale of the Two Suns</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The discussion of the Creation of Nebadon Universe and its universal structure is continued. It is explicated, herein, that clearly, with dissemination of the quanta of energy in the two conjugate-mirrored spaces or Worlds, that depending... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_44268400" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The discussion of the Creation of Nebadon Universe and its universal structure is continued. It is explicated, herein, that clearly, with dissemination of the quanta of energy in the two conjugate-mirrored spaces or Worlds, that depending on their PERCIVED direction of spinning (seems opposite when observed from either side),</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/44268400" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c4887b92298fad93158cb0b37e759d94" rel="nofollow" data-download="{"attachment_id":99156098,"asset_id":44268400,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/99156098/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="49852223" href="https://independent.academia.edu/MohsenPaulSarfarazi">Mohsen Paul Sarfarazi</a><script data-card-contents-for-user="49852223" type="text/json">{"id":49852223,"first_name":"Mohsen Paul","last_name":"Sarfarazi","domain_name":"independent","page_name":"MohsenPaulSarfarazi","display_name":"Mohsen Paul Sarfarazi","profile_url":"https://independent.academia.edu/MohsenPaulSarfarazi?f_ri=99372","photo":"https://0.academia-photos.com/49852223/14993974/15735910/s65_mohsen_paul.sarfarazi.jpg"}</script></span></span></li><li class="js-paper-rank-work_44268400 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="44268400"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 44268400, container: ".js-paper-rank-work_44268400", }); 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After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_2516819" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of RPA, and its applications to realistic systems. With several illustrating applications, we discuss the implications of RPA for computational chemistry and materials science. The computational cost of RPA is also addressed which is critical for its widespread use in future applications. In addition, current correction schemes going beyond RPA and directions of further development will be discussed.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/2516819" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8f465b313ec40e1e7256d33679e6746a" rel="nofollow" data-download="{"attachment_id":50586441,"asset_id":2516819,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/50586441/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="3170338" href="https://ku-dk.academia.edu/ChristianJoas">Christian Joas</a><script data-card-contents-for-user="3170338" type="text/json">{"id":3170338,"first_name":"Christian","last_name":"Joas","domain_name":"ku-dk","page_name":"ChristianJoas","display_name":"Christian Joas","profile_url":"https://ku-dk.academia.edu/ChristianJoas?f_ri=99372","photo":"https://0.academia-photos.com/3170338/1085892/17754037/s65_christian.joas.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-2516819">+1</span><div class="hidden js-additional-users-2516819"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/PatrickRinke">Patrick Rinke</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-2516819'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-2516819').html(); 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After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of RPA, and its applications to realistic systems. With several illustrating applications, we discuss the implications of RPA for computational chemistry and materials science. The computational cost of RPA is also addressed which is critical for its widespread use in future applications. In addition, current correction schemes going beyond RPA and directions of further development will be discussed.","downloadable_attachments":[{"id":50586441,"asset_id":2516819,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":3170338,"first_name":"Christian","last_name":"Joas","domain_name":"ku-dk","page_name":"ChristianJoas","display_name":"Christian Joas","profile_url":"https://ku-dk.academia.edu/ChristianJoas?f_ri=99372","photo":"https://0.academia-photos.com/3170338/1085892/17754037/s65_christian.joas.jpg"},{"id":38534192,"first_name":"Patrick","last_name":"Rinke","domain_name":"independent","page_name":"PatrickRinke","display_name":"Patrick Rinke","profile_url":"https://independent.academia.edu/PatrickRinke?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=99372","nofollow":true},{"id":529,"name":"Quantum Chemistry","url":"https://www.academia.edu/Documents/in/Quantum_Chemistry?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_31934472" data-work_id="31934472" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/31934472/Structural_electronic_and_magnetic_properties_of_Ti_1%C3%BEx_FeSb_Heusler_alloys">Structural, electronic and magnetic properties of Ti 1þx FeSb Heusler alloys</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Density functional theory calculations based on full potential linearized augmented plane-wave (FP-LAPW) plus local orbital method in the framework of GGA-PBE, as embodied in the WIEN2k code, is used to investigate the structural,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_31934472" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Density functional theory calculations based on full potential linearized augmented plane-wave (FP-LAPW) plus local orbital method in the framework of GGA-PBE, as embodied in the WIEN2k code, is used to investigate the structural, electronic and magnetic properties of intermetallic Ti 1þx FeSb Heusler compounds, where (x ¼ À0:75; À0:50; À0:25; 0:0; 0:25; 0:50; 0:75; 1:0). Moreover, the Tran-Blaha parameterized of the modified Becke-Johnson (TB-mBJ) exchange potential, as a semi-local method, is employed to predict the bandgap more precisely. The physical characteristic of these systems are found to be mostly determined by the crystal structure and the electron concentration or the number of valence electrons. We examined the site preference of the parent compound TiFeSb and varied the electron concentration by doping or removing a Ti atom and we found that the variation plays a crucial role in the physical properties of these material systems. Alloys with x 0 are found to exhibit a ferrimagnetic phase, and the alloy with x ¼ 0:25 exhibits non-magnetic properties, whereas the rest have shown ferromagnetic phase. The band-structure analysis of Ti 1:75 FeSb and Ti 2 FeSb (CuHg 2 Ti-type) alloys suggested that they could be ferromagnetic half-metallic candidates with bandgaps 0.350 and 0.468 eV, respectively. We found that Ti rich Ti 1þx FeSb alloys have high spin polarization.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/31934472" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="4606ba03c4770a8186f5904b02df13de" rel="nofollow" data-download="{"attachment_id":52212932,"asset_id":31934472,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/52212932/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="61759383" href="https://independent.academia.edu/SaidAzar">Said Azar</a><script data-card-contents-for-user="61759383" type="text/json">{"id":61759383,"first_name":"Said","last_name":"Azar","domain_name":"independent","page_name":"SaidAzar","display_name":"Said Azar","profile_url":"https://independent.academia.edu/SaidAzar?f_ri=99372","photo":"https://0.academia-photos.com/61759383/16041497/16515536/s65_said.azar.jpg"}</script></span></span></li><li class="js-paper-rank-work_31934472 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="31934472"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 31934472, container: ".js-paper-rank-work_31934472", }); 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$(".js-view-count[data-work-id=31934472]").text(description); $(".js-view-count-work_31934472").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_31934472").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="31934472"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="519" rel="nofollow" href="https://www.academia.edu/Documents/in/Solid_State_Physics">Solid State Physics</a>, <script data-card-contents-for-ri="519" type="text/json">{"id":519,"name":"Solid State Physics","url":"https://www.academia.edu/Documents/in/Solid_State_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="77601" rel="nofollow" href="https://www.academia.edu/Documents/in/DFT_calculation">DFT calculation</a>, <script data-card-contents-for-ri="77601" type="text/json">{"id":77601,"name":"DFT calculation","url":"https://www.academia.edu/Documents/in/DFT_calculation?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=31934472]'), work: {"id":31934472,"title":"Structural, electronic and magnetic properties of Ti 1þx FeSb Heusler alloys","created_at":"2017-03-19T13:58:37.490-07:00","url":"https://www.academia.edu/31934472/Structural_electronic_and_magnetic_properties_of_Ti_1%C3%BEx_FeSb_Heusler_alloys?f_ri=99372","dom_id":"work_31934472","summary":"Density functional theory calculations based on full potential linearized augmented plane-wave (FP-LAPW) plus local orbital method in the framework of GGA-PBE, as embodied in the WIEN2k code, is used to investigate the structural, electronic and magnetic properties of intermetallic Ti 1þx FeSb Heusler compounds, where (x ¼ À0:75; À0:50; À0:25; 0:0; 0:25; 0:50; 0:75; 1:0). Moreover, the Tran-Blaha parameterized of the modified Becke-Johnson (TB-mBJ) exchange potential, as a semi-local method, is employed to predict the bandgap more precisely. The physical characteristic of these systems are found to be mostly determined by the crystal structure and the electron concentration or the number of valence electrons. We examined the site preference of the parent compound TiFeSb and varied the electron concentration by doping or removing a Ti atom and we found that the variation plays a crucial role in the physical properties of these material systems. Alloys with x 0 are found to exhibit a ferrimagnetic phase, and the alloy with x ¼ 0:25 exhibits non-magnetic properties, whereas the rest have shown ferromagnetic phase. The band-structure analysis of Ti 1:75 FeSb and Ti 2 FeSb (CuHg 2 Ti-type) alloys suggested that they could be ferromagnetic half-metallic candidates with bandgaps 0.350 and 0.468 eV, respectively. We found that Ti rich Ti 1þx FeSb alloys have high spin polarization.","downloadable_attachments":[{"id":52212932,"asset_id":31934472,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":61759383,"first_name":"Said","last_name":"Azar","domain_name":"independent","page_name":"SaidAzar","display_name":"Said Azar","profile_url":"https://independent.academia.edu/SaidAzar?f_ri=99372","photo":"https://0.academia-photos.com/61759383/16041497/16515536/s65_said.azar.jpg"}],"research_interests":[{"id":519,"name":"Solid State Physics","url":"https://www.academia.edu/Documents/in/Solid_State_Physics?f_ri=99372","nofollow":true},{"id":77601,"name":"DFT calculation","url":"https://www.academia.edu/Documents/in/DFT_calculation?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6575987" data-work_id="6575987" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6575987/Introduction_to_Solid_State_Physics_and_Crystalline_Nanostructures">Introduction to Solid State Physics and Crystalline Nanostructures</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">"This textbook provides conceptual, procedural, and factual knowledge on solid state and nanostructure physics. It is designed to acquaint readers with key concepts and their connections, to stimulate intuition and curiosity, and to... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_6575987" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">"This textbook provides conceptual, procedural, and factual knowledge on solid state and nanostructure physics. It is designed to acquaint readers with key concepts and their connections, to stimulate intuition and curiosity, and to enable the acquisition of competences in general strategies and specific procedures for problem solving and their use in specific applications. To these ends, a multidisciplinary approach is adopted, integrating physics, chemistry, and engineering and reflecting how these disciplines are converging towards common tools and languages in the field. <br /> <br />Each chapter discusses essential ideas before the introduction of formalisms and the stepwise addition of complications. Questions on everyday manifestations of the concepts are included, with reasoned linking of ideas from different chapters and sections and further detail in the appendices. The final section of each chapter describes experimental methods and strategies that can be used to probe the phenomena under discussion. <br /> <br />Solid state and nanostructure physics is constantly growing as a field of study where the fascinating quantum world emerges and otherwise imaginary things can become real, engineered with increasing creativity and control: from tinier and faster technologies realizing quantum information concepts, to understanding of the fundamental laws of the Universe, unifying the tiniest lengths below those of nuclear constituents with the giant cosmic distances. Elements of Solid State Physics and of Crystalline Nanostructures will offer the reader an enjoyable insight into the complex concepts of solid state physics."</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6575987" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="41ec8d828f3fbc6f9bc57af7a9270e83" rel="nofollow" data-download="{"attachment_id":33374804,"asset_id":6575987,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33374804/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="1387069" href="https://cnr-it.academia.edu/GiovanniCantele">Giovanni Cantele</a><script data-card-contents-for-user="1387069" type="text/json">{"id":1387069,"first_name":"Giovanni","last_name":"Cantele","domain_name":"cnr-it","page_name":"GiovanniCantele","display_name":"Giovanni Cantele","profile_url":"https://cnr-it.academia.edu/GiovanniCantele?f_ri=99372","photo":"https://0.academia-photos.com/1387069/503845/18561827/s65_giovanni.cantele.png"}</script></span></span></li><li class="js-paper-rank-work_6575987 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="6575987"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 6575987, container: ".js-paper-rank-work_6575987", }); 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$(".js-view-count[data-work-id=6575987]").text(description); $(".js-view-count-work_6575987").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_6575987").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="6575987"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="519" rel="nofollow" href="https://www.academia.edu/Documents/in/Solid_State_Physics">Solid State Physics</a>, <script data-card-contents-for-ri="519" type="text/json">{"id":519,"name":"Solid State Physics","url":"https://www.academia.edu/Documents/in/Solid_State_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="10650" rel="nofollow" href="https://www.academia.edu/Documents/in/Materials">Materials</a>, <script data-card-contents-for-ri="10650" type="text/json">{"id":10650,"name":"Materials","url":"https://www.academia.edu/Documents/in/Materials?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="32285" rel="nofollow" href="https://www.academia.edu/Documents/in/Nanostructured_materials">Nanostructured materials</a><script data-card-contents-for-ri="32285" type="text/json">{"id":32285,"name":"Nanostructured materials","url":"https://www.academia.edu/Documents/in/Nanostructured_materials?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=6575987]'), work: {"id":6575987,"title":"Introduction to Solid State Physics and Crystalline Nanostructures","created_at":"2014-03-27T21:23:08.453-07:00","url":"https://www.academia.edu/6575987/Introduction_to_Solid_State_Physics_and_Crystalline_Nanostructures?f_ri=99372","dom_id":"work_6575987","summary":"\"This textbook provides conceptual, procedural, and factual knowledge on solid state and nanostructure physics. It is designed to acquaint readers with key concepts and their connections, to stimulate intuition and curiosity, and to enable the acquisition of competences in general strategies and specific procedures for problem solving and their use in specific applications. To these ends, a multidisciplinary approach is adopted, integrating physics, chemistry, and engineering and reflecting how these disciplines are converging towards common tools and languages in the field.\r\n\r\nEach chapter discusses essential ideas before the introduction of formalisms and the stepwise addition of complications. Questions on everyday manifestations of the concepts are included, with reasoned linking of ideas from different chapters and sections and further detail in the appendices. The final section of each chapter describes experimental methods and strategies that can be used to probe the phenomena under discussion.\r\n\r\nSolid state and nanostructure physics is constantly growing as a field of study where the fascinating quantum world emerges and otherwise imaginary things can become real, engineered with increasing creativity and control: from tinier and faster technologies realizing quantum information concepts, to understanding of the fundamental laws of the Universe, unifying the tiniest lengths below those of nuclear constituents with the giant cosmic distances. Elements of Solid State Physics and of Crystalline Nanostructures will offer the reader an enjoyable insight into the complex concepts of solid state physics.\"","downloadable_attachments":[{"id":33374804,"asset_id":6575987,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":1387069,"first_name":"Giovanni","last_name":"Cantele","domain_name":"cnr-it","page_name":"GiovanniCantele","display_name":"Giovanni Cantele","profile_url":"https://cnr-it.academia.edu/GiovanniCantele?f_ri=99372","photo":"https://0.academia-photos.com/1387069/503845/18561827/s65_giovanni.cantele.png"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":519,"name":"Solid State 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} })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_82493713" data-work_id="82493713" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" rel="nofollow" href="https://www.academia.edu/82493713/Morse_potential_specific_bond_volume_a_simple_formula_with_applications_to_dimers_and_soft_hard_slab_slider">Morse potential specific bond volume: a simple formula with applications to dimers and soft–hard slab slider</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/82493713" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="122224531" href="https://damasuniv1.academia.edu/MarwanAlRaeei">Marwan Al-Raeei</a><script data-card-contents-for-user="122224531" type="text/json">{"id":122224531,"first_name":"Marwan","last_name":"Al-Raeei","domain_name":"damasuniv1","page_name":"MarwanAlRaeei","display_name":"Marwan Al-Raeei","profile_url":"https://damasuniv1.academia.edu/MarwanAlRaeei?f_ri=99372","photo":"https://0.academia-photos.com/122224531/31172143/115425431/s65_marwan.al-raeei.jpeg"}</script></span></span></li><li 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Physiics","url":"https://www.academia.edu/Documents/in/Theoritical_Physiics?f_ri=99372"},{"id":3037803,"name":"Materials Science Chemistry Physics and Astronomy Engineering Chemical Engineering","url":"https://www.academia.edu/Documents/in/Materials_Science_Chemistry_Physics_and_Astronomy_Engineering_Chemical_Engineering?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_13506839" data-work_id="13506839" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/13506839/Two_dimensional_Chern_semimetals_on_the_Lieb_lattice">Two-dimensional Chern semimetals on the Lieb lattice</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_13506839" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically protected edge states and topological phase transitions that occur when the bands touch each, with linear dispersion around the contact points. The tight-binding model, defined on the Lieb lattice with intra-unit-cell and suitable nearest-neighbor hopping terms between three different species of spinless fermions, supports a single Dirac-like point. The dispersion relation around this point is fully relativistic and the 3×3 matrices in the corresponding effective Hamiltonian satisfy the Duffin-Kemmer-Petiau algebra. We show the robustness of the topologically protected edge states by employing the entanglement spectrum. Moreover, we prove that the Chern number of the lowest band is robust with respect to weak disorder. For its simplicity, our model can be naturally implemented in real physical systems like cold atoms in optical lattices.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/13506839" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="b7eaeb8578d2eaea74f61fedb92aa1c6" rel="nofollow" data-download="{"attachment_id":38061519,"asset_id":13506839,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38061519/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="426416" href="https://universiteitutrecht.academia.edu/GiandomenicoPalumbo">Giandomenico Palumbo</a><script data-card-contents-for-user="426416" type="text/json">{"id":426416,"first_name":"Giandomenico","last_name":"Palumbo","domain_name":"universiteitutrecht","page_name":"GiandomenicoPalumbo","display_name":"Giandomenico Palumbo","profile_url":"https://universiteitutrecht.academia.edu/GiandomenicoPalumbo?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_13506839 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="13506839"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 13506839, container: ".js-paper-rank-work_13506839", }); });</script></li><li class="js-percentile-work_13506839 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 13506839; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_13506839"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_13506839 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="13506839"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 13506839; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=13506839]").text(description); $(".js-view-count-work_13506839").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_13506839").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="13506839"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="34089" rel="nofollow" href="https://www.academia.edu/Documents/in/Topological_phases_of_quantum_matter">Topological phases of quantum matter</a>, <script data-card-contents-for-ri="34089" type="text/json">{"id":34089,"name":"Topological phases of quantum matter","url":"https://www.academia.edu/Documents/in/Topological_phases_of_quantum_matter?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=13506839]'), work: {"id":13506839,"title":"Two-dimensional Chern semimetals on the Lieb lattice","created_at":"2015-07-01T10:17:19.977-07:00","url":"https://www.academia.edu/13506839/Two_dimensional_Chern_semimetals_on_the_Lieb_lattice?f_ri=99372","dom_id":"work_13506839","summary":"In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically protected edge states and topological phase transitions that occur when the bands touch each, with linear dispersion around the contact points. The tight-binding model, defined on the Lieb lattice with intra-unit-cell and suitable nearest-neighbor hopping terms between three different species of spinless fermions, supports a single Dirac-like point. The dispersion relation around this point is fully relativistic and the 3×3 matrices in the corresponding effective Hamiltonian satisfy the Duffin-Kemmer-Petiau algebra. We show the robustness of the topologically protected edge states by employing the entanglement spectrum. Moreover, we prove that the Chern number of the lowest band is robust with respect to weak disorder. For its simplicity, our model can be naturally implemented in real physical systems like cold atoms in optical lattices.","downloadable_attachments":[{"id":38061519,"asset_id":13506839,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":426416,"first_name":"Giandomenico","last_name":"Palumbo","domain_name":"universiteitutrecht","page_name":"GiandomenicoPalumbo","display_name":"Giandomenico Palumbo","profile_url":"https://universiteitutrecht.academia.edu/GiandomenicoPalumbo?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":34089,"name":"Topological phases of quantum matter","url":"https://www.academia.edu/Documents/in/Topological_phases_of_quantum_matter?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_8795423" data-work_id="8795423" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/8795423/MANAGING_AND_EVALUATING_THE_IMPACTS_OF_LARGE_RESEARCH_PROGRAMMES">MANAGING AND EVALUATING THE IMPACTS OF LARGE RESEARCH PROGRAMMES</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This research was funded by, and implemented within, a UK national research organisation, while the author was the KE and Impact Evaluation Manager responsible for assessing impact on a £15m UK government-funded research programme. This... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_8795423" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This research was funded by, and implemented within, a UK national research organisation, while the author was the KE and Impact Evaluation Manager responsible for assessing impact on a £15m UK government-funded research programme.<br /><br />This work was also submitted as the authors MBA dissertation which was accepted and awarded in 2009. <br /><br />ABSTRACT: A methodology and methods ‘toolbox’ is proposed for conducting impact research and assessment from within research programmes. The emphasis is upon how to clarify and assess the wider impacts from the early stages onwards.<br /><br />The approach explicitly acknowledges, and attempts to address, the known issues and challenges of impact assessment while drawing upon the resources and opportunities available to research managers and researchers within such programmes.<br /><br />The study has two triangulating foundations. Firstly, it examines the academic literature to help identify and design the pilot methodology and methods. Secondly it trials these in a real programme to both test and improve them.<br /><br />The study was conducted over one year within one leading UK research organisation, where two research programmes (and around 60 research projects of £15m total value) were being assessed for their impacts. The study draws upon actual impact management experience and reflection, prospective (ex ante) and retrospective (ex post) assessments, participatory contributions from leading researchers undergoing assessment, and consultation with external users. The findings of this study outline the pilot and its first iteration. Recommendations are made for improvement to the methodology and methods.<br /><br />A subsequent follow-on bid to UK government incorporating the impacts identified from implementing this methodology, successfully led to a further £15m of government funding.<br /><br />It is expected the pilot methodology and methods will be applicable to other organisations, conducting and funding such research programmes, required to research and assess the wider research impacts. <br /><br />Although primary focus of implemetation trials was upon research in physical sciences, technology, high-tech engineering, computing/IT, and environment, the wider literature study, the methodology design and justification, the methods proposed and used, and the resulting general recommendations and lessons are expected to apply more broadly to many other research areas, where the impact is to be found more widely in the society, economy, government or public sector or within organizations, policies, professions or the public.<br /><br />Interest in this work is expected from research programme managers, impact managers and assessors, management consultants advising in this area, and government funding managers, all seeking to embed a developing approach to understand, capture, and enhance wider impact.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/8795423" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a4c7d407534bf2e45e3521eebd59f986" rel="nofollow" data-download="{"attachment_id":35457082,"asset_id":8795423,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/35457082/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="18878088" href="https://independent.academia.edu/trevorwren">Trevor Wren BSc MA MPhil PhD MBA</a><script data-card-contents-for-user="18878088" type="text/json">{"id":18878088,"first_name":"Trevor","last_name":"Wren BSc MA MPhil PhD MBA","domain_name":"independent","page_name":"trevorwren","display_name":"Trevor Wren BSc MA MPhil PhD MBA","profile_url":"https://independent.academia.edu/trevorwren?f_ri=99372","photo":"https://0.academia-photos.com/18878088/5247911/6001811/s65_trevor.wren.jpg_oh_12adb13cb0c446279d6b0139cd929fbc_oe_54f03f51___gda___1425507246_85468fc3920de1b4fce8638dfb1ba988"}</script></span></span></li><li class="js-paper-rank-work_8795423 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="8795423"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 8795423, container: ".js-paper-rank-work_8795423", }); 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The emphasis is upon how to clarify and assess the wider impacts from the early stages onwards.\n\nThe approach explicitly acknowledges, and attempts to address, the known issues and challenges of impact assessment while drawing upon the resources and opportunities available to research managers and researchers within such programmes.\n\nThe study has two triangulating foundations. Firstly, it examines the academic literature to help identify and design the pilot methodology and methods. Secondly it trials these in a real programme to both test and improve them.\n\nThe study was conducted over one year within one leading UK research organisation, where two research programmes (and around 60 research projects of £15m total value) were being assessed for their impacts. The study draws upon actual impact management experience and reflection, prospective (ex ante) and retrospective (ex post) assessments, participatory contributions from leading researchers undergoing assessment, and consultation with external users. The findings of this study outline the pilot and its first iteration. Recommendations are made for improvement to the methodology and methods.\n\nA subsequent follow-on bid to UK government incorporating the impacts identified from implementing this methodology, successfully led to a further £15m of government funding.\n\nIt is expected the pilot methodology and methods will be applicable to other organisations, conducting and funding such research programmes, required to research and assess the wider research impacts. \n\nAlthough primary focus of implemetation trials was upon research in physical sciences, technology, high-tech engineering, computing/IT, and environment, the wider literature study, the methodology design and justification, the methods proposed and used, and the resulting general recommendations and lessons are expected to apply more broadly to many other research areas, where the impact is to be found more widely in the society, economy, government or public sector or within organizations, policies, professions or the public.\n\nInterest in this work is expected from research programme managers, impact managers and assessors, management consultants advising in this area, and government funding managers, all seeking to embed a developing approach to understand, capture, and enhance wider impact. 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})();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_32175109" data-work_id="32175109" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/32175109/MAGNETIC_PROPERTY_KNIGHT_SHIFT_CALCULATION_OF_LIQUID_ALKALI_METALS_USING_MODEL_PSEUDOPOTENTIAL">MAGNETIC PROPERTY (KNIGHT SHIFT) CALCULATION OF LIQUID ALKALI METALS USING MODEL PSEUDOPOTENTIAL</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this work, the Knight shift of (Li, Na, K, Rb, Cs) alkali liquid metals were calculated using the model pseudopotential and the structure factor derived via the charge hard sphere model. From the work, the calculated values for each of... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_32175109" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this work, the Knight shift of (Li, Na, K, Rb, Cs) alkali liquid metals were calculated using the model pseudopotential and the structure factor derived via the charge hard sphere model. From the work, the calculated values for each of these liquid metals were respectively obtained as 0.027, 0.115, 0.264, 0.663, 1.439% while their experimental values are respectively given as 0.026,0.116,0.265,0.662,1.440%. The calculated values and the experimental values are in perfect agreement. The model pseudopotential method can be used to predict theoretically experimental values of Knight shift of any liquid metal.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/32175109" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="809d0de1d03f27f67b2ea2651f25e864" rel="nofollow" data-download="{"attachment_id":52410114,"asset_id":32175109,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/52410114/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="38477637" href="https://independent.academia.edu/arumonaarumona">arumona arumona</a><script data-card-contents-for-user="38477637" type="text/json">{"id":38477637,"first_name":"arumona","last_name":"arumona","domain_name":"independent","page_name":"arumonaarumona","display_name":"arumona arumona","profile_url":"https://independent.academia.edu/arumonaarumona?f_ri=99372","photo":"https://0.academia-photos.com/38477637/15139661/15839151/s65_arumona.arumona.jpg"}</script></span></span></li><li class="js-paper-rank-work_32175109 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="32175109"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 32175109, container: ".js-paper-rank-work_32175109", }); 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Predeterminados","url":"https://www.academia.edu/Documents/in/Estudio_De_Tiempo_Predeterminados?f_ri=99372"},{"id":1447811,"name":"Wave Function Collapse","url":"https://www.academia.edu/Documents/in/Wave_Function_Collapse?f_ri=99372"},{"id":1578615,"name":"The Measurement Problem","url":"https://www.academia.edu/Documents/in/The_Measurement_Problem?f_ri=99372"},{"id":1675154,"name":"Alternate Universes","url":"https://www.academia.edu/Documents/in/Alternate_Universes?f_ri=99372"},{"id":2442779,"name":"Aether mechanics","url":"https://www.academia.edu/Documents/in/Aether_mechanics?f_ri=99372"},{"id":2471898,"name":"Spinning Particles in the Aether","url":"https://www.academia.edu/Documents/in/Spinning_Particles_in_the_Aether?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6723452" data-work_id="6723452" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6723452/Spin_density_wave_interaction_in_two_band_model_for_iron_based_superconductors">Spin density wave interaction in two band model for iron-based superconductors</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The newly discovered Oxypnictide superconductors have triggered enormous research interests in the condensed physics.We propose a two band model in presence of spin-density-wave(SDW) interaction to investigate the behavior of itinerant... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_6723452" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The newly discovered Oxypnictide superconductors have triggered enormous research interests in the condensed physics.We propose a two band model in presence of spin-density-wave(SDW) interaction to investigate the behavior of itinerant electron on the temperature dependent SDW gap, density of states, effect of doping and specific heat. The SDW gap equation is calculated from electron Green's function and solved numerically. Using the temperature dependent SDW gap, the density of states,occupation number for the two bands and specific heat are calculated and results are discussed to explain experimental facts .</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6723452" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c1c30dcbb49b6fbcfffb7cb710e44632" rel="nofollow" data-download="{"attachment_id":33442809,"asset_id":6723452,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33442809/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9255014" href="https://independent.academia.edu/rm79">r m</a><script data-card-contents-for-user="9255014" type="text/json">{"id":9255014,"first_name":"r","last_name":"m","domain_name":"independent","page_name":"rm79","display_name":"r m","profile_url":"https://independent.academia.edu/rm79?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_6723452 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="6723452"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 6723452, container: ".js-paper-rank-work_6723452", }); });</script></li><li class="js-percentile-work_6723452 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 6723452; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_6723452"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_6723452 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="6723452"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 6723452; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=6723452]").text(description); $(".js-view-count-work_6723452").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_6723452").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="6723452"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=6723452]'), work: {"id":6723452,"title":"Spin density wave interaction in two band model for iron-based superconductors","created_at":"2014-04-10T22:36:18.817-07:00","url":"https://www.academia.edu/6723452/Spin_density_wave_interaction_in_two_band_model_for_iron_based_superconductors?f_ri=99372","dom_id":"work_6723452","summary":"The newly discovered Oxypnictide superconductors have triggered enormous research interests in the condensed physics.We propose a two band model in presence of spin-density-wave(SDW) interaction to investigate the behavior of itinerant electron on the temperature dependent SDW gap, density of states, effect of doping and specific heat. The SDW gap equation is calculated from electron Green's function and solved numerically. Using the temperature dependent SDW gap, the density of states,occupation number for the two bands and specific heat are calculated and results are discussed to explain experimental facts .","downloadable_attachments":[{"id":33442809,"asset_id":6723452,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9255014,"first_name":"r","last_name":"m","domain_name":"independent","page_name":"rm79","display_name":"r m","profile_url":"https://independent.academia.edu/rm79?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_61697819" data-work_id="61697819" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/61697819/Investigation_of_Structural_and_Optoelectronic_Properties_of_N_Doped_Hexagonal_Phases_of_TiO2_TiO2_xNx_Nanoparticles_with_DFT_Realization_OPTIMIZATION_of_the_Band_Gap_and_Optical_Properties_for_Visible_Light_Absorption_and_Photovoltaic_Applications">Investigation of Structural and Optoelectronic Properties of N-Doped Hexagonal Phases of TiO2 (TiO2-xNx ) Nanoparticles with DFT Realization: OPTIMIZATION of the Band Gap and Optical Properties for Visible-Light Absorption and Photovoltaic Applications</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The geometric structure, electronic and optical properties of N-doped TiO2 (TiO2-xNx) were studied within the framework of density functional theory. The effective electron-electron exchangecorrelation functional and the modified... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_61697819" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The geometric structure, electronic and optical properties of N-doped TiO2 (TiO2-xNx) were studied within the framework of density functional theory. The effective electron-electron exchangecorrelation functional and the modified Becke-Johnson potential were used to calculate electronic and optical properties. The calculated optical parameters and the density of electronic states indicate that the TiO 2-x N x (0.06 ≤ x ≤ 0.25) system has a property favorable for application in solar cells. The calculated structural characteristics show that the size of these systems increases with the increasing concentration of additives. The electronic properties of N-doped TiO 2 show that the bandgaps tend to decrease, and some 2p states of N atoms are located inside the bandgap, which leads to a decrease in the photon energy of the transition and absorption of visible light. As a result, the bandgap effectively decreases with doping concentration increase, while the absorption is effectively improved due to the extended absorption range, both ultraviolet, visible, and infrared range of light emission. It was found that the optimal concentration of nitrogen doping (12.5 at.%) noticeably increases the absorption capacity; hence, the conversion efficiency of TiO 2 in the visible region of radiation and effectively reduces the bandgap from 3.2 to 2.4 eV. However, any further increase in concentration does not lead to an additional improvement of the absorption capacity despite the change in the bandgap, which is in good agreement with the existing experimental data. These superior characteristics make N-doped TiO2 a promising material for low-cost, high-efficiency solar cells for the mass market.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/61697819" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0549571aa903e0a54584873a3a1eefce" rel="nofollow" data-download="{"attachment_id":74669386,"asset_id":61697819,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/74669386/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="98768049" href="https://anrt.academia.edu/NematovDavlatshoevich">DILSHOD D . NEMATOV</a><script data-card-contents-for-user="98768049" type="text/json">{"id":98768049,"first_name":"DILSHOD","last_name":"NEMATOV","domain_name":"anrt","page_name":"NematovDavlatshoevich","display_name":"DILSHOD D . NEMATOV","profile_url":"https://anrt.academia.edu/NematovDavlatshoevich?f_ri=99372","photo":"https://0.academia-photos.com/98768049/29123827/56951995/s65_nematov.davlatshoevich.jpg"}</script></span></span></li><li class="js-paper-rank-work_61697819 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="61697819"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 61697819, container: ".js-paper-rank-work_61697819", }); });</script></li><li class="js-percentile-work_61697819 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 61697819; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_61697819"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_61697819 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="61697819"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 61697819; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=61697819]").text(description); $(".js-view-count-work_61697819").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_61697819").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="61697819"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2430" rel="nofollow" href="https://www.academia.edu/Documents/in/Computational_Materials_Science">Computational Materials Science</a>, <script data-card-contents-for-ri="2430" type="text/json">{"id":2430,"name":"Computational Materials Science","url":"https://www.academia.edu/Documents/in/Computational_Materials_Science?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="19286" rel="nofollow" href="https://www.academia.edu/Documents/in/Molecular_dynamics_Simulation_Nanoscience_And_Nanotechnology_">Molecular dynamics Simulation (Nanoscience And Nanotechnology)</a>, <script data-card-contents-for-ri="19286" type="text/json">{"id":19286,"name":"Molecular dynamics Simulation (Nanoscience And Nanotechnology)","url":"https://www.academia.edu/Documents/in/Molecular_dynamics_Simulation_Nanoscience_And_Nanotechnology_?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="44299" rel="nofollow" href="https://www.academia.edu/Documents/in/Optoelectronics">Optoelectronics</a>, <script data-card-contents-for-ri="44299" type="text/json">{"id":44299,"name":"Optoelectronics","url":"https://www.academia.edu/Documents/in/Optoelectronics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=61697819]'), work: {"id":61697819,"title":"Investigation of Structural and Optoelectronic Properties of N-Doped Hexagonal Phases of TiO2 (TiO2-xNx ) Nanoparticles with DFT Realization: OPTIMIZATION of the Band Gap and Optical Properties for Visible-Light Absorption and Photovoltaic Applications","created_at":"2021-11-15T03:51:47.944-08:00","url":"https://www.academia.edu/61697819/Investigation_of_Structural_and_Optoelectronic_Properties_of_N_Doped_Hexagonal_Phases_of_TiO2_TiO2_xNx_Nanoparticles_with_DFT_Realization_OPTIMIZATION_of_the_Band_Gap_and_Optical_Properties_for_Visible_Light_Absorption_and_Photovoltaic_Applications?f_ri=99372","dom_id":"work_61697819","summary":"The geometric structure, electronic and optical properties of N-doped TiO2 (TiO2-xNx) were studied within the framework of density functional theory. The effective electron-electron exchangecorrelation functional and the modified Becke-Johnson potential were used to calculate electronic and optical properties. The calculated optical parameters and the density of electronic states indicate that the TiO 2-x N x (0.06 ≤ x ≤ 0.25) system has a property favorable for application in solar cells. The calculated structural characteristics show that the size of these systems increases with the increasing concentration of additives. The electronic properties of N-doped TiO 2 show that the bandgaps tend to decrease, and some 2p states of N atoms are located inside the bandgap, which leads to a decrease in the photon energy of the transition and absorption of visible light. As a result, the bandgap effectively decreases with doping concentration increase, while the absorption is effectively improved due to the extended absorption range, both ultraviolet, visible, and infrared range of light emission. It was found that the optimal concentration of nitrogen doping (12.5 at.%) noticeably increases the absorption capacity; hence, the conversion efficiency of TiO 2 in the visible region of radiation and effectively reduces the bandgap from 3.2 to 2.4 eV. However, any further increase in concentration does not lead to an additional improvement of the absorption capacity despite the change in the bandgap, which is in good agreement with the existing experimental data. These superior characteristics make N-doped TiO2 a promising material for low-cost, high-efficiency solar cells for the mass market.","downloadable_attachments":[{"id":74669386,"asset_id":61697819,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":98768049,"first_name":"DILSHOD","last_name":"NEMATOV","domain_name":"anrt","page_name":"NematovDavlatshoevich","display_name":"DILSHOD D . NEMATOV","profile_url":"https://anrt.academia.edu/NematovDavlatshoevich?f_ri=99372","photo":"https://0.academia-photos.com/98768049/29123827/56951995/s65_nematov.davlatshoevich.jpg"}],"research_interests":[{"id":2430,"name":"Computational Materials Science","url":"https://www.academia.edu/Documents/in/Computational_Materials_Science?f_ri=99372","nofollow":true},{"id":19286,"name":"Molecular dynamics Simulation (Nanoscience And Nanotechnology)","url":"https://www.academia.edu/Documents/in/Molecular_dynamics_Simulation_Nanoscience_And_Nanotechnology_?f_ri=99372","nofollow":true},{"id":44299,"name":"Optoelectronics","url":"https://www.academia.edu/Documents/in/Optoelectronics?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":158665,"name":"Density functional theory calculations","url":"https://www.academia.edu/Documents/in/Density_functional_theory_calculations?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_12301487 coauthored" data-work_id="12301487" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/12301487/Theoretical_studies_of_strongly_correlated_rare_earth_intermetallics_RIn3_and_RSn3_R_Sm_Eu_and_Gd_">Theoretical studies of strongly correlated rare-earth intermetallics RIn3 and RSn3 (R=Sm, Eu, and Gd)</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this paper, the structural, elastic, and electronic properties of RIn3 and RSn3 (R ¼ Sm, Eu, Gd) compounds have been investigated using the full potential linearized augmented plane wave plus local orbital method within the density... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_12301487" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this paper, the structural, elastic, and electronic properties of RIn3 and RSn3 (R ¼ Sm, Eu, Gd)<br />compounds have been investigated using the full potential linearized augmented plane wave plus<br />local orbital method within the density functional theory. The structural properties are investigated<br />using the LDA, GGA, and the band correlated LDAþU and GGAþU schemes. The lattice<br />parameters are in good agreement with the available experimental results and the divalent state of<br />Eu is also verified. The spin-orbit coupling is included in order to predict the correct electronic<br />properties and splitting of 4f states of the rare earth elements is also incorporated. We calculated<br />Bulk modulus, shear modulus, Young’s modulus, anisotropic ratio, Kleinman parameters,<br />Poisson’s ratio, Lame’s co-efficient, sound velocities for shear and longitudinal waves, and Debye<br />temperature. We also predict the Cauchy pressure and B/G ratio in order to explore the ductile and<br />brittle behaviors of these compounds.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/12301487" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="97f92e75074688dc7a013959d466c141" rel="nofollow" data-download="{"attachment_id":37585246,"asset_id":12301487,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/37585246/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="24370547" href="https://uom-pk.academia.edu/IftikharAhmad">Iftikhar Ahmad</a><script data-card-contents-for-user="24370547" type="text/json">{"id":24370547,"first_name":"Iftikhar","last_name":"Ahmad","domain_name":"uom-pk","page_name":"IftikharAhmad","display_name":"Iftikhar Ahmad","profile_url":"https://uom-pk.academia.edu/IftikharAhmad?f_ri=99372","photo":"https://0.academia-photos.com/24370547/6572509/7431009/s65_iftikhar.ahmad.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-12301487">+2</span><div class="hidden js-additional-users-12301487"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/MuhammadShafiq69">Muhammad Shafiq</a></span></div><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://ui-ir.academia.edu/SaeidJalaliAsadabadi">Saeid Jalali Asadabadi</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-12301487'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-12301487').html(); 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The structural properties are investigated\nusing the LDA, GGA, and the band correlated LDAþU and GGAþU schemes. The lattice\nparameters are in good agreement with the available experimental results and the divalent state of\nEu is also verified. The spin-orbit coupling is included in order to predict the correct electronic\nproperties and splitting of 4f states of the rare earth elements is also incorporated. We calculated\nBulk modulus, shear modulus, Young’s modulus, anisotropic ratio, Kleinman parameters,\nPoisson’s ratio, Lame’s co-efficient, sound velocities for shear and longitudinal waves, and Debye\ntemperature. We also predict the Cauchy pressure and B/G ratio in order to explore the ductile and\nbrittle behaviors of these compounds.","downloadable_attachments":[{"id":37585246,"asset_id":12301487,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":24370547,"first_name":"Iftikhar","last_name":"Ahmad","domain_name":"uom-pk","page_name":"IftikharAhmad","display_name":"Iftikhar Ahmad","profile_url":"https://uom-pk.academia.edu/IftikharAhmad?f_ri=99372","photo":"https://0.academia-photos.com/24370547/6572509/7431009/s65_iftikhar.ahmad.jpg"},{"id":30985936,"first_name":"Muhammad","last_name":"Shafiq","domain_name":"independent","page_name":"MuhammadShafiq69","display_name":"Muhammad Shafiq","profile_url":"https://independent.academia.edu/MuhammadShafiq69?f_ri=99372","photo":"/images/s65_no_pic.png"},{"id":207595,"first_name":"Saeid","last_name":"Jalali Asadabadi","domain_name":"ui-ir","page_name":"SaeidJalaliAsadabadi","display_name":"Saeid Jalali Asadabadi","profile_url":"https://ui-ir.academia.edu/SaeidJalaliAsadabadi?f_ri=99372","photo":"https://0.academia-photos.com/207595/18582962/20180771/s65_saeid.jalali_asadabadi.jpg"}],"research_interests":[{"id":56,"name":"Materials Engineering","url":"https://www.academia.edu/Documents/in/Materials_Engineering?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=99372","nofollow":true},{"id":519,"name":"Solid State Physics","url":"https://www.academia.edu/Documents/in/Solid_State_Physics?f_ri=99372","nofollow":true},{"id":10650,"name":"Materials","url":"https://www.academia.edu/Documents/in/Materials?f_ri=99372"},{"id":15558,"name":"Solid State Chemistry","url":"https://www.academia.edu/Documents/in/Solid_State_Chemistry?f_ri=99372"},{"id":17395,"name":"Density-functional theory","url":"https://www.academia.edu/Documents/in/Density-functional_theory?f_ri=99372"},{"id":18534,"name":"Mechanical Behavior Of Materials","url":"https://www.academia.edu/Documents/in/Mechanical_Behavior_Of_Materials?f_ri=99372"},{"id":24002,"name":"Materials Science and Engineering","url":"https://www.academia.edu/Documents/in/Materials_Science_and_Engineering?f_ri=99372"},{"id":25312,"name":"Material Engineering","url":"https://www.academia.edu/Documents/in/Material_Engineering?f_ri=99372"},{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372"},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372"},{"id":53910,"name":"Rare Earth Elements","url":"https://www.academia.edu/Documents/in/Rare_Earth_Elements?f_ri=99372"},{"id":61096,"name":"Mechanical properties","url":"https://www.academia.edu/Documents/in/Mechanical_properties?f_ri=99372"},{"id":77601,"name":"DFT calculation","url":"https://www.academia.edu/Documents/in/DFT_calculation?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":116009,"name":"Strongly Correlated Electrons","url":"https://www.academia.edu/Documents/in/Strongly_Correlated_Electrons?f_ri=99372"},{"id":116857,"name":"Mechanical Properties of Materials","url":"https://www.academia.edu/Documents/in/Mechanical_Properties_of_Materials?f_ri=99372"},{"id":145653,"name":"Ductility","url":"https://www.academia.edu/Documents/in/Ductility?f_ri=99372"},{"id":168462,"name":"Lanthanides","url":"https://www.academia.edu/Documents/in/Lanthanides?f_ri=99372"},{"id":395801,"name":"Rare Earth","url":"https://www.academia.edu/Documents/in/Rare_Earth?f_ri=99372"},{"id":485170,"name":"Theoretical Solid State Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Solid_State_Physics?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_38250270" data-work_id="38250270" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" rel="nofollow" href="https://www.academia.edu/38250270/Top_Downloaded_papers_Recent_advances_in_Physics_pdf">Top Downloaded papers - Recent advances in Physics.pdf</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">International Journal of Recent advances in Physics (IJRAP) is a peer-reviewed, open access journal, addresses the impacts and challenges of Physics. 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In the second part of this,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_1976740" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In the first part of this report we will discuss about the ab-initio calculations for Germanium which was used to plot the band structure and phonons at Γ and after producing the entire phonon dispersion curve. In the second part of this, we will discuss about the role of Wannier functions and their effectiveness in reproducing the same band structure as obtained from planewave basis set calculations under the Quantum-ESPRESSO distribution. Eventually, we will calculate the intensity for a Double-Resonant Raman (DRR) process along the three high symmetry lines in the Brillouin Zone with the parameters which were verified for convergence beforehand. * <a href="mailto:jha@impmc.upmc.fr" rel="nofollow">jha@impmc.upmc.fr</a> † NanoMat 2011 Master Thesis Report</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/1976740" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="1581c900c4f0950c6db0f740b5cd2d5b" rel="nofollow" data-download="{"attachment_id":28581502,"asset_id":1976740,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/28581502/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="1951790" href="https://independent.academia.edu/RaghavGovindJha">Raghav Govind Jha</a><script data-card-contents-for-user="1951790" type="text/json">{"id":1951790,"first_name":"Raghav Govind","last_name":"Jha","domain_name":"independent","page_name":"RaghavGovindJha","display_name":"Raghav Govind Jha","profile_url":"https://independent.academia.edu/RaghavGovindJha?f_ri=99372","photo":"https://0.academia-photos.com/1951790/806312/29359133/s65_raghav_govind.jha.jpg"}</script></span></span></li><li class="js-paper-rank-work_1976740 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="1976740"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 1976740, container: ".js-paper-rank-work_1976740", }); 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The journal documents practical and theoretical results which make a fundamental contribution for the development of Physics.","downloadable_attachments":[{"id":67784424,"asset_id":47753669,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":44203063,"first_name":"International Journal of Recent advances in Physics","last_name":"(IJRAP)","domain_name":"independent","page_name":"JournalIJRAP","display_name":"International Journal of Recent advances in Physics (IJRAP)","profile_url":"https://independent.academia.edu/JournalIJRAP?f_ri=99372","photo":"https://0.academia-photos.com/44203063/11777797/18798230/s65_international_journal_of_recent_advances_in_physics._ijrap_.jpg"}],"research_interests":[{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true},{"id":502,"name":"Biophysics","url":"https://www.academia.edu/Documents/in/Biophysics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":508,"name":"Elementary Particle Physics","url":"https://www.academia.edu/Documents/in/Elementary_Particle_Physics?f_ri=99372","nofollow":true},{"id":514,"name":"Nuclear Physics","url":"https://www.academia.edu/Documents/in/Nuclear_Physics?f_ri=99372"},{"id":516,"name":"Optics","url":"https://www.academia.edu/Documents/in/Optics?f_ri=99372"},{"id":517,"name":"Plasma Physics","url":"https://www.academia.edu/Documents/in/Plasma_Physics?f_ri=99372"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372"},{"id":851,"name":"Complex Systems Science","url":"https://www.academia.edu/Documents/in/Complex_Systems_Science?f_ri=99372"},{"id":2182,"name":"Fiber Optics","url":"https://www.academia.edu/Documents/in/Fiber_Optics?f_ri=99372"},{"id":2513,"name":"Molecular Biology","url":"https://www.academia.edu/Documents/in/Molecular_Biology?f_ri=99372"},{"id":5427,"name":"Spectroscopy","url":"https://www.academia.edu/Documents/in/Spectroscopy?f_ri=99372"},{"id":7150,"name":"Complex Systems","url":"https://www.academia.edu/Documents/in/Complex_Systems?f_ri=99372"},{"id":11242,"name":"Nano Photonics And Nano Electronics","url":"https://www.academia.edu/Documents/in/Nano_Photonics_And_Nano_Electronics?f_ri=99372"},{"id":11740,"name":"Atomic Physics","url":"https://www.academia.edu/Documents/in/Atomic_Physics?f_ri=99372"},{"id":14024,"name":"High Energy Physics","url":"https://www.academia.edu/Documents/in/High_Energy_Physics?f_ri=99372"},{"id":24373,"name":"Atomic Force Microscopy","url":"https://www.academia.edu/Documents/in/Atomic_Force_Microscopy?f_ri=99372"},{"id":71615,"name":"Advanced Functional Materials","url":"https://www.academia.edu/Documents/in/Advanced_Functional_Materials?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":1019454,"name":"Nano Fabrication","url":"https://www.academia.edu/Documents/in/Nano_Fabrication?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_38215834" data-work_id="38215834" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/38215834/Fluctuations_and_magnetoresistance_oscillations_near_the_half_filled_Landau_level">Fluctuations and magnetoresistance oscillations near the half-filled Landau level</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We study magnetoresistance oscillations near the half-filled lowest Landau level ($\nu = 1/2$) that result from the presence of a periodic one-dimensional electrostatic potential using the Dirac composite fermion theory of Son, where the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_38215834" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We study magnetoresistance oscillations near the half-filled lowest Landau<br />level ($\nu = 1/2$) that result from the presence of a periodic one-dimensional<br />electrostatic potential using the Dirac composite fermion theory of Son, where<br />the $\nu=1/2$ state is described by a $(2+1)$-dimensional theory of quantum<br />electrodynamics. Previous work showed that when gauge field fluctuations are<br />neglected, there is a small, but systematic deviation between the locations of<br />the oscillation minima predicted by theory and those observed in experiment<br />[Kamburov et. al., Phys. Rev. Lett. 113, 196801 (2014)]. Here, we study how<br />effects due to gauge fluctuations improves this comparison. Through an<br />approximate large flavor analysis of the Schwinger-Dyson equations for the<br />Dirac composite fermion theory, we argue that gauge field fluctuations<br />dynamically generate a magnetic field-dependent mass for the Dirac composite<br />fermions. We show how this mass results in a shift of the<br />theoretically-obtained oscillation minima towards those found in experiment. We<br />discuss how the temperature-dependent amplitude of these oscillations enables<br />an additional way to measure this mass. At finite temperatures, away from the<br />universal low-energy limit, the behavior of this amplitude may also distinguish<br />the Dirac and Halperin, Lee, and Read composite fermion theories of the<br />half-filled Landau level.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/38215834" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="9616376b06ff2889f55d96069daec2b5" rel="nofollow" data-download="{"attachment_id":58255240,"asset_id":38215834,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/58255240/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="2504992" href="https://ucriverside.academia.edu/AmartyaMitra">Amartya Mitra</a><script data-card-contents-for-user="2504992" type="text/json">{"id":2504992,"first_name":"Amartya","last_name":"Mitra","domain_name":"ucriverside","page_name":"AmartyaMitra","display_name":"Amartya Mitra","profile_url":"https://ucriverside.academia.edu/AmartyaMitra?f_ri=99372","photo":"https://0.academia-photos.com/2504992/781405/17389527/s65_amartya.mitra.jpeg"}</script></span></span></li><li class="js-paper-rank-work_38215834 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="38215834"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 38215834, container: ".js-paper-rank-work_38215834", }); 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$(".js-view-count[data-work-id=38215834]").text(description); $(".js-view-count-work_38215834").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_38215834").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="38215834"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=38215834]'), work: {"id":38215834,"title":"Fluctuations and magnetoresistance oscillations near the half-filled Landau level","created_at":"2019-01-24T19:18:16.133-08:00","url":"https://www.academia.edu/38215834/Fluctuations_and_magnetoresistance_oscillations_near_the_half_filled_Landau_level?f_ri=99372","dom_id":"work_38215834","summary":" We study magnetoresistance oscillations near the half-filled lowest Landau\nlevel ($\\nu = 1/2$) that result from the presence of a periodic one-dimensional\nelectrostatic potential using the Dirac composite fermion theory of Son, where\nthe $\\nu=1/2$ state is described by a $(2+1)$-dimensional theory of quantum\nelectrodynamics. Previous work showed that when gauge field fluctuations are\nneglected, there is a small, but systematic deviation between the locations of\nthe oscillation minima predicted by theory and those observed in experiment\n[Kamburov et. al., Phys. Rev. Lett. 113, 196801 (2014)]. Here, we study how\neffects due to gauge fluctuations improves this comparison. Through an\napproximate large flavor analysis of the Schwinger-Dyson equations for the\nDirac composite fermion theory, we argue that gauge field fluctuations\ndynamically generate a magnetic field-dependent mass for the Dirac composite\nfermions. We show how this mass results in a shift of the\ntheoretically-obtained oscillation minima towards those found in experiment. We\ndiscuss how the temperature-dependent amplitude of these oscillations enables\nan additional way to measure this mass. At finite temperatures, away from the\nuniversal low-energy limit, the behavior of this amplitude may also distinguish\nthe Dirac and Halperin, Lee, and Read composite fermion theories of the\nhalf-filled Landau level.","downloadable_attachments":[{"id":58255240,"asset_id":38215834,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":2504992,"first_name":"Amartya","last_name":"Mitra","domain_name":"ucriverside","page_name":"AmartyaMitra","display_name":"Amartya Mitra","profile_url":"https://ucriverside.academia.edu/AmartyaMitra?f_ri=99372","photo":"https://0.academia-photos.com/2504992/781405/17389527/s65_amartya.mitra.jpeg"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_26016222" data-work_id="26016222" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/26016222/Generic_helical_edge_states_due_to_Rashba_spin_orbit_coupling_in_a_topological_insulator">Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_26016222" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have energy-dependent spin orientation. This opens the possibility of inelastic backscattering and thereby non-quantized transport. Here we find analytically the new dispersion relations and the energy dependent spin orientation of the generic helical edge states in the presence of Rashba spin-orbit coupling within the Bernevig-Hughes-Zhang model, for both a single isolated edge and for a finite width ribbon. In the single-edge case, we analytically quantify the energy dependence of the spin orientation, which turns out to be weak for a realistic HgTe quantum well. Nevertheless, finite size e↵ects combined with Rashba spin-orbit coupling result in two avoided crossings in the energy dispersions, where the spin orientation variation of the edge states is very significantly increased for realistic parameters. Finally, our analytical results are found to compare well to a numerical tight-binding regularization of the model.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/26016222" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="920a25026c8c7ba6e7bee7d6f5c31fd6" rel="nofollow" data-download="{"attachment_id":46360110,"asset_id":26016222,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/46360110/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="20839790" href="https://ucm.academia.edu/LOrtiz">Laura Ortiz</a><script data-card-contents-for-user="20839790" type="text/json">{"id":20839790,"first_name":"Laura","last_name":"Ortiz","domain_name":"ucm","page_name":"LOrtiz","display_name":"Laura Ortiz","profile_url":"https://ucm.academia.edu/LOrtiz?f_ri=99372","photo":"https://0.academia-photos.com/20839790/6467971/7315102/s65_laura.ortiz_mart_n.jpg_oh_d51e04c545d31283250784d75622d09e_oe_54f9951c___gda___1426531979_70a4a406603717846fda0d5d8c80797c"}</script></span></span></li><li class="js-paper-rank-work_26016222 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="26016222"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 26016222, container: ".js-paper-rank-work_26016222", }); 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$(".js-view-count[data-work-id=26016222]").text(description); $(".js-view-count-work_26016222").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_26016222").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="26016222"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=26016222]'), work: {"id":26016222,"title":"Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator","created_at":"2016-06-09T06:58:23.255-07:00","url":"https://www.academia.edu/26016222/Generic_helical_edge_states_due_to_Rashba_spin_orbit_coupling_in_a_topological_insulator?f_ri=99372","dom_id":"work_26016222","summary":"We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have energy-dependent spin orientation. This opens the possibility of inelastic backscattering and thereby non-quantized transport. Here we find analytically the new dispersion relations and the energy dependent spin orientation of the generic helical edge states in the presence of Rashba spin-orbit coupling within the Bernevig-Hughes-Zhang model, for both a single isolated edge and for a finite width ribbon. In the single-edge case, we analytically quantify the energy dependence of the spin orientation, which turns out to be weak for a realistic HgTe quantum well. Nevertheless, finite size e↵ects combined with Rashba spin-orbit coupling result in two avoided crossings in the energy dispersions, where the spin orientation variation of the edge states is very significantly increased for realistic parameters. Finally, our analytical results are found to compare well to a numerical tight-binding regularization of the model.","downloadable_attachments":[{"id":46360110,"asset_id":26016222,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":20839790,"first_name":"Laura","last_name":"Ortiz","domain_name":"ucm","page_name":"LOrtiz","display_name":"Laura Ortiz","profile_url":"https://ucm.academia.edu/LOrtiz?f_ri=99372","photo":"https://0.academia-photos.com/20839790/6467971/7315102/s65_laura.ortiz_mart_n.jpg_oh_d51e04c545d31283250784d75622d09e_oe_54f9951c___gda___1426531979_70a4a406603717846fda0d5d8c80797c"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_15299375 coauthored" data-work_id="15299375" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/15299375/Optical_performances_of_InAs_GaSb_InSb_short_period_superlattice_laser_diode_for_mid_infrared_emission">Optical performances of InAs/GaSb/InSb short-period superlattice laser diode for mid-infrared emission</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">An antimonide-based InAs/GaSb/InSb short-period superlattice SPSL laser diode on GaSb substrate for mid-infrared emission has been modeled by an accurate eight-band k.p model. By using a realistic graded and asymmetric interface... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_15299375" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">An antimonide-based InAs/GaSb/InSb short-period superlattice SPSL laser diode on GaSb<br />substrate for mid-infrared emission has been modeled by an accurate eight-band k.p model. By<br />using a realistic graded and asymmetric interface profile, calculated energy gap between the electron<br />and heavy-hole miniband shows good agreement with our experimental data. Optical gain and<br />threshold current density are then presented and compared with experimental results of SPSL laser<br />diodes operating in pulsed regime. Analysis of the optical performances obtained at room<br />temperature is made.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/15299375" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="3915226ba33fa96ca37321b6615196be" rel="nofollow" data-download="{"attachment_id":38623105,"asset_id":15299375,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38623105/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9711066" href="https://umonastir.academia.edu/DebbichiMourad">Debbichi Mourad</a><script data-card-contents-for-user="9711066" type="text/json">{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-15299375">+1</span><div class="hidden js-additional-users-15299375"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/MoncefSaid">Moncef Said</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-15299375'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-15299375').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_15299375 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="15299375"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 15299375; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=15299375]").text(description); $(".js-view-count-work_15299375").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_15299375").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="15299375"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="4135" rel="nofollow" href="https://www.academia.edu/Documents/in/Laser">Laser</a>, <script data-card-contents-for-ri="4135" type="text/json">{"id":4135,"name":"Laser","url":"https://www.academia.edu/Documents/in/Laser?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="15139" rel="nofollow" href="https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors">III-V wide bandgap simuconductors</a>, <script data-card-contents-for-ri="15139" type="text/json">{"id":15139,"name":"III-V wide bandgap simuconductors","url":"https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a>, <script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="976800" rel="nofollow" href="https://www.academia.edu/Documents/in/Bandgap_Engineering">Bandgap Engineering</a><script data-card-contents-for-ri="976800" type="text/json">{"id":976800,"name":"Bandgap Engineering","url":"https://www.academia.edu/Documents/in/Bandgap_Engineering?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=15299375]'), work: {"id":15299375,"title":"Optical performances of InAs/GaSb/InSb short-period superlattice laser diode for mid-infrared emission","created_at":"2015-08-31T05:42:19.143-07:00","url":"https://www.academia.edu/15299375/Optical_performances_of_InAs_GaSb_InSb_short_period_superlattice_laser_diode_for_mid_infrared_emission?f_ri=99372","dom_id":"work_15299375","summary":"An antimonide-based InAs/GaSb/InSb short-period superlattice \u0002SPSL\u0003 laser diode on GaSb\nsubstrate for mid-infrared emission has been modeled by an accurate eight-band k.p model. By\nusing a realistic graded and asymmetric interface profile, calculated energy gap between the electron\nand heavy-hole miniband shows good agreement with our experimental data. Optical gain and\nthreshold current density are then presented and compared with experimental results of SPSL laser\ndiodes operating in pulsed regime. Analysis of the optical performances obtained at room\ntemperature is made.","downloadable_attachments":[{"id":38623105,"asset_id":15299375,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"},{"id":34560138,"first_name":"Moncef","last_name":"Said","domain_name":"independent","page_name":"MoncefSaid","display_name":"Moncef Said","profile_url":"https://independent.academia.edu/MoncefSaid?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":4135,"name":"Laser","url":"https://www.academia.edu/Documents/in/Laser?f_ri=99372","nofollow":true},{"id":15139,"name":"III-V wide bandgap simuconductors","url":"https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":976800,"name":"Bandgap Engineering","url":"https://www.academia.edu/Documents/in/Bandgap_Engineering?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6660062" data-work_id="6660062" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6660062/Theory_of_a_curved_planar_waveguide_with_Robin_boundary_conditions">Theory of a curved planar waveguide with Robin boundary conditions</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A model of a thin straight strip with a uniformly curved section and with boundary requirements zeroing at the edges a linear superposition of the wave function and its normal derivative ͑Robin boundary condition͒ is analyzed... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_6660062" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A model of a thin straight strip with a uniformly curved section and with boundary requirements zeroing at the edges a linear superposition of the wave function and its normal derivative ͑Robin boundary condition͒ is analyzed theoretically within the framework of the linear Schrödinger equation and is applied to the study of the processes in the bent magnetic multilayers, superconducting films and metallic ferrite-filled waveguides. In particular, subband thresholds of the straight and curved parts of the film are calculated and analyzed as a function of the Robin parameter 1 / ⌳, with ⌳ being an extrapolation length entering Robin boundary condition. For the arbitrary Robin coefficients which are equal on the opposite interfaces of the strip and for all bend parameters the lowest-mode energy of the continuously curved duct is always smaller than its straight counterpart. Accordingly, the bound state below the fundamental propagation threshold of the straight arms always exists as a result of the bend. In terms of the superconductivity language it means an increased critical temperature of the curved film compared to its straight counterpart. Localized-level dependence on the parameters of the curve is investigated with its energy decreasing with increasing bend angle and decreasing bend radius. Conditions of the bound-state existence for the different Robin parameters on the opposite edges are analyzed too; in particular, it is shown that the bound state below the first transverse threshold of the straight arm always exists if the inner extrapolation length is not larger than the outer one. In the opposite case there is a range of the bend parameters where the curved film cannot trap the wave and form the localized mode; for example, for the fixed bend radius the bound state emerges from the continuum at some nonzero bend angle that depends on the difference of the two lengths ⌳ at the opposite interfaces. Various transport properties of the film such as interference blockade of the current flow at some special energies is also discussed with the special attention being paid to the transformation from the Dirichlet to the Neumann case as the extrapolation length ⌳ sweeps the positive axis.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6660062" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c3624132fdaae3392c1584b30210c64d" rel="nofollow" data-download="{"attachment_id":33553156,"asset_id":6660062,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33553156/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="10818040" href="https://sharjah.academia.edu/OlegOlendski">Oleg Olendski</a><script data-card-contents-for-user="10818040" type="text/json">{"id":10818040,"first_name":"Oleg","last_name":"Olendski","domain_name":"sharjah","page_name":"OlegOlendski","display_name":"Oleg Olendski","profile_url":"https://sharjah.academia.edu/OlegOlendski?f_ri=99372","photo":"https://0.academia-photos.com/10818040/104157658/93341938/s65_oleg.olendski.png"}</script></span></span></li><li class="js-paper-rank-work_6660062 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="6660062"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 6660062, container: ".js-paper-rank-work_6660062", }); 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$(".js-view-count[data-work-id=6660062]").text(description); $(".js-view-count-work_6660062").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_6660062").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="6660062"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">16</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="305" rel="nofollow" href="https://www.academia.edu/Documents/in/Applied_Mathematics">Applied Mathematics</a>, <script data-card-contents-for-ri="305" type="text/json">{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="318" rel="nofollow" href="https://www.academia.edu/Documents/in/Mathematical_Physics">Mathematical Physics</a>, <script data-card-contents-for-ri="318" type="text/json">{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="503" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Physics">Theoretical Physics</a>, <script data-card-contents-for-ri="503" type="text/json">{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a><script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=6660062]'), work: {"id":6660062,"title":"Theory of a curved planar waveguide with Robin boundary conditions","created_at":"2014-04-04T19:41:38.968-07:00","url":"https://www.academia.edu/6660062/Theory_of_a_curved_planar_waveguide_with_Robin_boundary_conditions?f_ri=99372","dom_id":"work_6660062","summary":"A model of a thin straight strip with a uniformly curved section and with boundary requirements zeroing at the edges a linear superposition of the wave function and its normal derivative ͑Robin boundary condition͒ is analyzed theoretically within the framework of the linear Schrödinger equation and is applied to the study of the processes in the bent magnetic multilayers, superconducting films and metallic ferrite-filled waveguides. In particular, subband thresholds of the straight and curved parts of the film are calculated and analyzed as a function of the Robin parameter 1 / ⌳, with ⌳ being an extrapolation length entering Robin boundary condition. For the arbitrary Robin coefficients which are equal on the opposite interfaces of the strip and for all bend parameters the lowest-mode energy of the continuously curved duct is always smaller than its straight counterpart. Accordingly, the bound state below the fundamental propagation threshold of the straight arms always exists as a result of the bend. In terms of the superconductivity language it means an increased critical temperature of the curved film compared to its straight counterpart. Localized-level dependence on the parameters of the curve is investigated with its energy decreasing with increasing bend angle and decreasing bend radius. Conditions of the bound-state existence for the different Robin parameters on the opposite edges are analyzed too; in particular, it is shown that the bound state below the first transverse threshold of the straight arm always exists if the inner extrapolation length is not larger than the outer one. In the opposite case there is a range of the bend parameters where the curved film cannot trap the wave and form the localized mode; for example, for the fixed bend radius the bound state emerges from the continuum at some nonzero bend angle that depends on the difference of the two lengths ⌳ at the opposite interfaces. Various transport properties of the film such as interference blockade of the current flow at some special energies is also discussed with the special attention being paid to the transformation from the Dirichlet to the Neumann case as the extrapolation length ⌳ sweeps the positive axis.","downloadable_attachments":[{"id":33553156,"asset_id":6660062,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":10818040,"first_name":"Oleg","last_name":"Olendski","domain_name":"sharjah","page_name":"OlegOlendski","display_name":"Oleg Olendski","profile_url":"https://sharjah.academia.edu/OlegOlendski?f_ri=99372","photo":"https://0.academia-photos.com/10818040/104157658/93341938/s65_oleg.olendski.png"}],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=99372","nofollow":true},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true},{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":519,"name":"Solid State Physics","url":"https://www.academia.edu/Documents/in/Solid_State_Physics?f_ri=99372"},{"id":2087,"name":"Antennas \u0026 Radio Wave Propagation","url":"https://www.academia.edu/Documents/in/Antennas_and_Radio_Wave_Propagation?f_ri=99372"},{"id":2166,"name":"Surfaces and Interfaces","url":"https://www.academia.edu/Documents/in/Surfaces_and_Interfaces?f_ri=99372"},{"id":3988,"name":"Nanoelectronics","url":"https://www.academia.edu/Documents/in/Nanoelectronics?f_ri=99372"},{"id":97703,"name":"Mathematical Methods of Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Methods_of_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":139047,"name":"Ionosphere and Radio Wave Propagation","url":"https://www.academia.edu/Documents/in/Ionosphere_and_Radio_Wave_Propagation?f_ri=99372"},{"id":152690,"name":"Boundary Conditions","url":"https://www.academia.edu/Documents/in/Boundary_Conditions?f_ri=99372"},{"id":160479,"name":"Nanoscale waveguides","url":"https://www.academia.edu/Documents/in/Nanoscale_waveguides?f_ri=99372"},{"id":233193,"name":"Waveguide","url":"https://www.academia.edu/Documents/in/Waveguide?f_ri=99372"},{"id":485170,"name":"Theoretical Solid State Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Solid_State_Physics?f_ri=99372"},{"id":987485,"name":"Nanoelectronics: Quantum Transport","url":"https://www.academia.edu/Documents/in/Nanoelectronics_Quantum_Transport?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_52199378" data-work_id="52199378" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/52199378/Implementation_of_a_tunable_k_p_model_for_twisted_multilayer_graphene">Implementation of a tunable k • p model for twisted multilayer graphene</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We construct a tool for the calculation and visualization of Moiré bands belonging to the broad family of arbitrarily stacked twisted N + M multilayer graphene. We present the underlying k • p model of twisted bilayer graphene and extend... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_52199378" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We construct a tool for the calculation and visualization of Moiré bands belonging to the broad family of arbitrarily stacked twisted N + M multilayer graphene. We present the underlying k • p model of twisted bilayer graphene and extend it to twisted N + M multilayer</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/52199378" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="9ed17ab2274cc0539a436f8ff3400916" rel="nofollow" data-download="{"attachment_id":69574945,"asset_id":52199378,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/69574945/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="125082595" href="https://mcgill.academia.edu/LeoPaul">Leo P B Goutte</a><script data-card-contents-for-user="125082595" type="text/json">{"id":125082595,"first_name":"Leo","last_name":"Goutte","domain_name":"mcgill","page_name":"LeoPaul","display_name":"Leo P B Goutte","profile_url":"https://mcgill.academia.edu/LeoPaul?f_ri=99372","photo":"https://0.academia-photos.com/125082595/31739506/52337795/s65_leo.paul.jpeg"}</script></span></span></li><li class="js-paper-rank-work_52199378 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="52199378"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 52199378, container: ".js-paper-rank-work_52199378", }); 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$(".js-view-count[data-work-id=52199378]").text(description); $(".js-view-count-work_52199378").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_52199378").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="52199378"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="504" rel="nofollow" href="https://www.academia.edu/Documents/in/Computational_Physics">Computational Physics</a>, <script data-card-contents-for-ri="504" type="text/json">{"id":504,"name":"Computational Physics","url":"https://www.academia.edu/Documents/in/Computational_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a>, <script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="213631" rel="nofollow" href="https://www.academia.edu/Documents/in/High_Temperature_Superconductors">High Temperature Superconductors</a>, <script data-card-contents-for-ri="213631" type="text/json">{"id":213631,"name":"High Temperature Superconductors","url":"https://www.academia.edu/Documents/in/High_Temperature_Superconductors?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="2058183" rel="nofollow" href="https://www.academia.edu/Documents/in/Moir%C3%A9_Pattern">Moiré Pattern</a><script data-card-contents-for-ri="2058183" type="text/json">{"id":2058183,"name":"Moiré Pattern","url":"https://www.academia.edu/Documents/in/Moir%C3%A9_Pattern?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=52199378]'), work: {"id":52199378,"title":"Implementation of a tunable k • p model for twisted multilayer graphene","created_at":"2021-09-13T11:56:38.911-07:00","url":"https://www.academia.edu/52199378/Implementation_of_a_tunable_k_p_model_for_twisted_multilayer_graphene?f_ri=99372","dom_id":"work_52199378","summary":"We construct a tool for the calculation and visualization of Moiré bands belonging to the broad family of arbitrarily stacked twisted N + M multilayer graphene. We present the underlying k • p model of twisted bilayer graphene and extend it to twisted N + M multilayer","downloadable_attachments":[{"id":69574945,"asset_id":52199378,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":125082595,"first_name":"Leo","last_name":"Goutte","domain_name":"mcgill","page_name":"LeoPaul","display_name":"Leo P B Goutte","profile_url":"https://mcgill.academia.edu/LeoPaul?f_ri=99372","photo":"https://0.academia-photos.com/125082595/31739506/52337795/s65_leo.paul.jpeg"}],"research_interests":[{"id":504,"name":"Computational Physics","url":"https://www.academia.edu/Documents/in/Computational_Physics?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":213631,"name":"High Temperature Superconductors","url":"https://www.academia.edu/Documents/in/High_Temperature_Superconductors?f_ri=99372","nofollow":true},{"id":2058183,"name":"Moiré Pattern","url":"https://www.academia.edu/Documents/in/Moir%C3%A9_Pattern?f_ri=99372","nofollow":true},{"id":3142116,"name":"twisted bilayer graphene","url":"https://www.academia.edu/Documents/in/twisted_bilayer_graphene?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_31739635" data-work_id="31739635" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/31739635/Magnonic_Black_Holes">Magnonic Black Holes</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We show that the interaction between the spin-polarized current and the magnetization dynamics can be used to implement black-hole and white-hole horizons for magnons—the quanta of oscillations in the magnetization direction in magnets.... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_31739635" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We show that the interaction between the spin-polarized current and the magnetization dynamics can be used to implement black-hole and white-hole horizons for magnons—the quanta of oscillations in the magnetization direction in magnets. We consider three different systems: easy-plane ferromagnetic metals, isotropic antiferromagnetic metals, and easy-plane magnetic insulators. Based on available experimental data, we estimate that the Hawking temperature can be as large as 1 K. We comment on the implications of magnonic horizons for spin-wave scattering and transport experiments, and for magnon entanglement.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/31739635" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="bc69150e656c2fa6101e9234aa1aaf6b" rel="nofollow" data-download="{"attachment_id":52048619,"asset_id":31739635,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/52048619/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="61092135" href="https://independent.academia.edu/AlejandroRold%C3%A1n7">Alejandro Roldán</a><script data-card-contents-for-user="61092135" type="text/json">{"id":61092135,"first_name":"Alejandro","last_name":"Roldán","domain_name":"independent","page_name":"AlejandroRoldán7","display_name":"Alejandro Roldán","profile_url":"https://independent.academia.edu/AlejandroRold%C3%A1n7?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_31739635 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="31739635"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 31739635, container: ".js-paper-rank-work_31739635", }); 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$(".js-view-count[data-work-id=31739635]").text(description); $(".js-view-count-work_31739635").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_31739635").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="31739635"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="503" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Physics">Theoretical Physics</a>, <script data-card-contents-for-ri="503" type="text/json">{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=31739635]'), work: {"id":31739635,"title":"Magnonic Black Holes","created_at":"2017-03-06T12:02:47.945-08:00","url":"https://www.academia.edu/31739635/Magnonic_Black_Holes?f_ri=99372","dom_id":"work_31739635","summary":"We show that the interaction between the spin-polarized current and the magnetization dynamics can be used to implement black-hole and white-hole horizons for magnons—the quanta of oscillations in the magnetization direction in magnets. We consider three different systems: easy-plane ferromagnetic metals, isotropic antiferromagnetic metals, and easy-plane magnetic insulators. Based on available experimental data, we estimate that the Hawking temperature can be as large as 1 K. We comment on the implications of magnonic horizons for spin-wave scattering and transport experiments, and for magnon entanglement.","downloadable_attachments":[{"id":52048619,"asset_id":31739635,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":61092135,"first_name":"Alejandro","last_name":"Roldán","domain_name":"independent","page_name":"AlejandroRoldán7","display_name":"Alejandro Roldán","profile_url":"https://independent.academia.edu/AlejandroRold%C3%A1n7?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_32175150 coauthored" data-work_id="32175150" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/32175150/CALCULATION_OF_ELECTRICAL_RESISTIVITY_OF_LIQUID_METALS_USING_THE_PERCUS_YEVICK_STRUCTURE_FACTOR_AND_MODEL_POTENTIAL">CALCULATION OF ELECTRICAL RESISTIVITY OF LIQUID METALS USING THE PERCUS YEVICK STRUCTURE FACTOR AND MODEL POTENTIAL</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this work, the Model potential with the Percus Yevick structure factor was used to calculate electrical resistivity of liquid metals. The results obtained are in very good agreement with the experimentally determined values. From the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_32175150" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this work, the Model potential with the Percus Yevick structure factor was used to calculate electrical resistivity of liquid metals. The results obtained are in very good agreement with the experimentally determined values. From the results it showed the Model potential with the Percus Yevick structure factor can be used effectively to predict theoretically experimental values of electrical resistivity of any liquid metal.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/32175150" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d7feb1ac9bae8fe1b55e5ae297b2b049" rel="nofollow" data-download="{"attachment_id":52410165,"asset_id":32175150,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/52410165/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="41022581" href="https://allduniv.academia.edu/NorthAsianInternationalResearchJournal">North Asian International Research Journal Consortium</a><script data-card-contents-for-user="41022581" type="text/json">{"id":41022581,"first_name":"North Asian International Research","last_name":"Journal Consortium","domain_name":"allduniv","page_name":"NorthAsianInternationalResearchJournal","display_name":"North Asian International Research Journal Consortium","profile_url":"https://allduniv.academia.edu/NorthAsianInternationalResearchJournal?f_ri=99372","photo":"https://0.academia-photos.com/41022581/13173808/14472317/s65_north_asian_international_research.journal.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-32175150">+1</span><div class="hidden js-additional-users-32175150"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/arumonaarumona">arumona arumona</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-32175150'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-32175150').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_32175150 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="32175150"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 32175150; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=32175150]").text(description); $(".js-view-count-work_32175150").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_32175150").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="32175150"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=32175150]'), work: {"id":32175150,"title":"CALCULATION OF ELECTRICAL RESISTIVITY OF LIQUID METALS USING THE PERCUS YEVICK STRUCTURE FACTOR AND MODEL POTENTIAL","created_at":"2017-03-31T18:29:48.420-07:00","url":"https://www.academia.edu/32175150/CALCULATION_OF_ELECTRICAL_RESISTIVITY_OF_LIQUID_METALS_USING_THE_PERCUS_YEVICK_STRUCTURE_FACTOR_AND_MODEL_POTENTIAL?f_ri=99372","dom_id":"work_32175150","summary":"In this work, the Model potential with the Percus Yevick structure factor was used to calculate electrical resistivity of liquid metals. The results obtained are in very good agreement with the experimentally determined values. From the results it showed the Model potential with the Percus Yevick structure factor can be used effectively to predict theoretically experimental values of electrical resistivity of any liquid metal.","downloadable_attachments":[{"id":52410165,"asset_id":32175150,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":41022581,"first_name":"North Asian International Research","last_name":"Journal Consortium","domain_name":"allduniv","page_name":"NorthAsianInternationalResearchJournal","display_name":"North Asian International Research Journal Consortium","profile_url":"https://allduniv.academia.edu/NorthAsianInternationalResearchJournal?f_ri=99372","photo":"https://0.academia-photos.com/41022581/13173808/14472317/s65_north_asian_international_research.journal.png"},{"id":38477637,"first_name":"arumona","last_name":"arumona","domain_name":"independent","page_name":"arumonaarumona","display_name":"arumona arumona","profile_url":"https://independent.academia.edu/arumonaarumona?f_ri=99372","photo":"https://0.academia-photos.com/38477637/15139661/15839151/s65_arumona.arumona.jpg"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_11829436" data-work_id="11829436" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/11829436/Ising_Like_Model_For_Ferroelectric_Phase_Transitions_In_Tetragonal_Tungsten_Bronze_Compounds">Ising-Like Model For Ferroelectric Phase Transitions In Tetragonal Tungsten Bronze Compounds</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The two-component anisotropic Ising-like model was proposed to model the ferroelectric phase transitions in Tetragonal Tungsten Bronze (TTB) compounds. Using the mean-field approach we reconstructed the phase diagram of the TTB system and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_11829436" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The two-component anisotropic Ising-like model was proposed to model the ferroelectric phase transitions<br />in Tetragonal Tungsten Bronze (TTB) compounds. Using the mean-field approach we reconstructed the phase<br />diagram of the TTB system and showed that depending on he relative strength of the interaction parameters there<br />ferroelectric states are possible: (i) the state with y-directed polarization that corresponds to the tetragonal ferroelectric<br />phase in TTB compounds, (ii) the state with x-directed polarization that corresponds to the orthorhombic TTB phase<br />and (iii) the state with superposition of x- and y- polarization components that can correspond to the not yet<br />discovered mixed phase.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/11829436" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="1c58332ceada8463e1c3c739e10b979d" rel="nofollow" data-download="{"attachment_id":53159745,"asset_id":11829436,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/53159745/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="1091872" href="https://ucam-ma.academia.edu/TAIFIELHADI">TAIFI EL HADI</a><script data-card-contents-for-user="1091872" type="text/json">{"id":1091872,"first_name":"TAIFI","last_name":"EL HADI","domain_name":"ucam-ma","page_name":"TAIFIELHADI","display_name":"TAIFI EL HADI","profile_url":"https://ucam-ma.academia.edu/TAIFIELHADI?f_ri=99372","photo":"https://0.academia-photos.com/1091872/3795041/15479572/s65_taifi.el_hadi.png"}</script></span></span></li><li class="js-paper-rank-work_11829436 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="11829436"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 11829436, container: ".js-paper-rank-work_11829436", }); 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$(".js-view-count[data-work-id=11829436]").text(description); $(".js-view-count-work_11829436").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_11829436").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="11829436"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=11829436]'), work: {"id":11829436,"title":"Ising-Like Model For Ferroelectric Phase Transitions In Tetragonal Tungsten Bronze Compounds","created_at":"2015-04-07T07:43:53.709-07:00","url":"https://www.academia.edu/11829436/Ising_Like_Model_For_Ferroelectric_Phase_Transitions_In_Tetragonal_Tungsten_Bronze_Compounds?f_ri=99372","dom_id":"work_11829436","summary":"The two-component anisotropic Ising-like model was proposed to model the ferroelectric phase transitions\nin Tetragonal Tungsten Bronze (TTB) compounds. Using the mean-field approach we reconstructed the phase\ndiagram of the TTB system and showed that depending on he relative strength of the interaction parameters there\nferroelectric states are possible: (i) the state with y-directed polarization that corresponds to the tetragonal ferroelectric\nphase in TTB compounds, (ii) the state with x-directed polarization that corresponds to the orthorhombic TTB phase\nand (iii) the state with superposition of x- and y- polarization components that can correspond to the not yet\ndiscovered mixed phase.","downloadable_attachments":[{"id":53159745,"asset_id":11829436,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":1091872,"first_name":"TAIFI","last_name":"EL HADI","domain_name":"ucam-ma","page_name":"TAIFIELHADI","display_name":"TAIFI EL HADI","profile_url":"https://ucam-ma.academia.edu/TAIFIELHADI?f_ri=99372","photo":"https://0.academia-photos.com/1091872/3795041/15479572/s65_taifi.el_hadi.png"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_15299323" data-work_id="15299323" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/15299323/Modelling_of_InAs_GaSb_InSb_short_period_superlattice_laser_diode_for_mid_infrared_emission_by_the_k_p_method">Modelling of InAs/GaSb/InSb short-period superlattice laser diode for mid-infrared emission by the k.p method</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The electronic band structure and optical gain of an InAs/GaSb/InSb short-period superlattice laser diode on a GaSb substrate are numerically investigated with an accurate 8 × 8 k.p model. Using a realistic graded and asymmetric interface... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_15299323" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The electronic band structure and optical gain of an InAs/GaSb/InSb short-period superlattice<br />laser diode on a GaSb substrate are numerically investigated with an accurate 8 × 8 k.p model.<br />Using a realistic graded and asymmetric interface profile, we obtain a reasonable agreement on<br />band gap energy with our experimental data extracted from laser emissions performed on the<br />laser diode. The optical performance in terms of optical gain is then calculated for the laser<br />structure and we demonstrate the utility of interface design to model short-period superlattice<br />structures.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/15299323" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a6429437835e7b1ada1e747214261ef3" rel="nofollow" data-download="{"attachment_id":38623083,"asset_id":15299323,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38623083/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9711066" href="https://umonastir.academia.edu/DebbichiMourad">Debbichi Mourad</a><script data-card-contents-for-user="9711066" type="text/json">{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_15299323 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="15299323"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 15299323, container: ".js-paper-rank-work_15299323", }); });</script></li><li class="js-percentile-work_15299323 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 15299323; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_15299323"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_15299323 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="15299323"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 15299323; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=15299323]").text(description); $(".js-view-count-work_15299323").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_15299323").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="15299323"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="4135" rel="nofollow" href="https://www.academia.edu/Documents/in/Laser">Laser</a>, <script data-card-contents-for-ri="4135" type="text/json">{"id":4135,"name":"Laser","url":"https://www.academia.edu/Documents/in/Laser?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="15139" rel="nofollow" href="https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors">III-V wide bandgap simuconductors</a>, <script data-card-contents-for-ri="15139" type="text/json">{"id":15139,"name":"III-V wide bandgap simuconductors","url":"https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=15299323]'), work: {"id":15299323,"title":"Modelling of InAs/GaSb/InSb short-period superlattice laser diode for mid-infrared emission by the k.p method","created_at":"2015-08-31T05:40:14.721-07:00","url":"https://www.academia.edu/15299323/Modelling_of_InAs_GaSb_InSb_short_period_superlattice_laser_diode_for_mid_infrared_emission_by_the_k_p_method?f_ri=99372","dom_id":"work_15299323","summary":"The electronic band structure and optical gain of an InAs/GaSb/InSb short-period superlattice\nlaser diode on a GaSb substrate are numerically investigated with an accurate 8 × 8 k.p model.\nUsing a realistic graded and asymmetric interface profile, we obtain a reasonable agreement on\nband gap energy with our experimental data extracted from laser emissions performed on the\nlaser diode. The optical performance in terms of optical gain is then calculated for the laser\nstructure and we demonstrate the utility of interface design to model short-period superlattice\nstructures.","downloadable_attachments":[{"id":38623083,"asset_id":15299323,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":4135,"name":"Laser","url":"https://www.academia.edu/Documents/in/Laser?f_ri=99372","nofollow":true},{"id":15139,"name":"III-V wide bandgap simuconductors","url":"https://www.academia.edu/Documents/in/III-V_wide_bandgap_simuconductors?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_15298657" data-work_id="15298657" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/15298657/Hybrid_functional_study_of_structural_electronic_and_magnetic_properties_of_S_doped_ZnO_with_and_without_neutral_vacancy">Hybrid functional study of structural, electronic and magnetic properties of S-doped ZnO with and without neutral vacancy</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The structural and electronic properties of S-doped ZnO are investigated by density functional theory (DFT) and empirical pseudopotential method (EPM). Using the Heyd–Scuseria–Ernzerhof (HSE) hybrid functional with an adjusted mixing... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_15298657" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The structural and electronic properties of S-doped ZnO are investigated by density functional theory<br />(DFT) and empirical pseudopotential method (EPM). Using the Heyd–Scuseria–Ernzerhof (HSE) hybrid<br />functional with an adjusted mixing coefficient<br />a<br />, we obtain a good agreement on lattice parameters<br />and band gap energy with the available experimental data. We have also investigate the Zn-vacancy<br />effects on the electronic and magnetic properties of S-doped ZnO. Our calculations demonstrate that S<br />impurity prefers to be close to the cation vacancy in the apical position. The magnetic analysis with<br />the HSE functional shows a triplet state character with a total magnetic moment of 1.81<br />l<br />B<br />, which is<br />mainly arises from the<br />p<br />-orbitals of the atoms around the Zn-vacancy (15% from S, 12% from Zn and<br />73% from O-atoms). The substitution of S by an isovalent atom decreases the total magnetic moments<br />of the system and weakens the local triplet state without destroying it.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/15298657" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="2f303a3f8d5edc047c1ffb65f8168358" rel="nofollow" data-download="{"attachment_id":38622824,"asset_id":15298657,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38622824/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9711066" href="https://umonastir.academia.edu/DebbichiMourad">Debbichi Mourad</a><script data-card-contents-for-user="9711066" type="text/json">{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_15298657 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="15298657"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 15298657, container: ".js-paper-rank-work_15298657", }); 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$(".js-view-count[data-work-id=15298657]").text(description); $(".js-view-count-work_15298657").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_15298657").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="15298657"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="50095" rel="nofollow" href="https://www.academia.edu/Documents/in/Defects_in_Semiconductors">Defects in Semiconductors</a>, <script data-card-contents-for-ri="50095" type="text/json">{"id":50095,"name":"Defects in Semiconductors","url":"https://www.academia.edu/Documents/in/Defects_in_Semiconductors?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=15298657]'), work: {"id":15298657,"title":"Hybrid functional study of structural, electronic and magnetic properties of S-doped ZnO with and without neutral vacancy","created_at":"2015-08-31T05:06:59.525-07:00","url":"https://www.academia.edu/15298657/Hybrid_functional_study_of_structural_electronic_and_magnetic_properties_of_S_doped_ZnO_with_and_without_neutral_vacancy?f_ri=99372","dom_id":"work_15298657","summary":"The structural and electronic properties of S-doped ZnO are investigated by density functional theory\n(DFT) and empirical pseudopotential method (EPM). Using the Heyd–Scuseria–Ernzerhof (HSE) hybrid\nfunctional with an adjusted mixing coefficient\na\n, we obtain a good agreement on lattice parameters\nand band gap energy with the available experimental data. We have also investigate the Zn-vacancy\neffects on the electronic and magnetic properties of S-doped ZnO. Our calculations demonstrate that S\nimpurity prefers to be close to the cation vacancy in the apical position. The magnetic analysis with\nthe HSE functional shows a triplet state character with a total magnetic moment of 1.81\nl\nB\n, which is\nmainly arises from the\np\n-orbitals of the atoms around the Zn-vacancy (15% from S, 12% from Zn and\n73% from O-atoms). The substitution of S by an isovalent atom decreases the total magnetic moments\nof the system and weakens the local triplet state without destroying it. ","downloadable_attachments":[{"id":38622824,"asset_id":15298657,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9711066,"first_name":"Debbichi","last_name":"Mourad","domain_name":"umonastir","page_name":"DebbichiMourad","display_name":"Debbichi Mourad","profile_url":"https://umonastir.academia.edu/DebbichiMourad?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":50095,"name":"Defects in Semiconductors","url":"https://www.academia.edu/Documents/in/Defects_in_Semiconductors?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_7465500" data-work_id="7465500" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/7465500/Dynamic_critical_behaviour_of_2D_ferromagnetic_antidot_lattices">Dynamic critical behaviour of 2D ferromagnetic antidot lattices</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">References pag.74 this softening mechanism in terms of dynamic critical behaviour of collective modes in 2D magnonic crystals (represented in this work by 2D ADLs) as function of the external magnetic field, for a fixed temperature. The... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_7465500" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">References pag.74 this softening mechanism in terms of dynamic critical behaviour of collective modes in 2D magnonic crystals (represented in this work by 2D ADLs) as function of the external magnetic field, for a fixed temperature. The theory of critical dynamic behaviour in terms of this new variable should be worked out, in analogy to that developed for temperature.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/7465500" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f38fec07f0e485aeec617e4ea9768799" rel="nofollow" data-download="{"attachment_id":34041492,"asset_id":7465500,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34041492/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="12460347" href="https://port.academia.edu/GretaCarangelo">Greta Carangelo</a><script data-card-contents-for-user="12460347" type="text/json">{"id":12460347,"first_name":"Greta","last_name":"Carangelo","domain_name":"port","page_name":"GretaCarangelo","display_name":"Greta Carangelo","profile_url":"https://port.academia.edu/GretaCarangelo?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_7465500 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="7465500"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 7465500, container: ".js-paper-rank-work_7465500", }); });</script></li><li class="js-percentile-work_7465500 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7465500; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_7465500"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_7465500 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="7465500"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7465500; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7465500]").text(description); $(".js-view-count-work_7465500").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_7465500").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="7465500"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=7465500]'), work: {"id":7465500,"title":"Dynamic critical behaviour of 2D ferromagnetic antidot lattices","created_at":"2014-06-25T22:02:55.925-07:00","url":"https://www.academia.edu/7465500/Dynamic_critical_behaviour_of_2D_ferromagnetic_antidot_lattices?f_ri=99372","dom_id":"work_7465500","summary":"References pag.74 this softening mechanism in terms of dynamic critical behaviour of collective modes in 2D magnonic crystals (represented in this work by 2D ADLs) as function of the external magnetic field, for a fixed temperature. The theory of critical dynamic behaviour in terms of this new variable should be worked out, in analogy to that developed for temperature.","downloadable_attachments":[{"id":34041492,"asset_id":7465500,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":12460347,"first_name":"Greta","last_name":"Carangelo","domain_name":"port","page_name":"GretaCarangelo","display_name":"Greta Carangelo","profile_url":"https://port.academia.edu/GretaCarangelo?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_41701772" data-work_id="41701772" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/41701772/Cosmology_Meets_Condensed_Matter_Physics">Cosmology Meets Condensed Matter Physics</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_41701772" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and reheating implemented under a closed quantum mechanical system in early universe cosmology. In this connection, we also present a derivation of quantum corrected version of the Fokker–Planck equation without dissipation and its fourth-order corrected analytical solution for the probability distribution profile responsible for studying the dynamical features of the particle creation events in the stochastic inflation and reheating stage of the universe. It is explicitly shown from our computation that quantum corrected Fokker–Planck equation describes the particle creation phenomena better for Dirac delta type of scatterer. In this connection, we additionally discuss Itô, Stratonovich prescription and the explicit role of finite temperature effective potential for solving the probability distribution profile. Furthermore, we extend our discussion of particle production phenomena to describe the quantum description of randomness involved in the dynamics. We also present computation to derive the expression for the measure of the stochastic nonlinearity (randomness or chaos) arising in the stochastic inflation and reheating epoch of the universe, often described by Lyapunov Exponent. Apart from that, we quantify the quantum chaos arising in a closed system by a more strong measure, commonly known as Spectral Form Factor using the principles of random matrix theory (RMT). Finally, we discuss the role of out of time order correlation function (OTOC) to describe quantum chaos in early universe cosmology.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/41701772" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8ebb7d814149178ebc8957b1ae5a833c" rel="nofollow" data-download="{"attachment_id":61860568,"asset_id":41701772,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/61860568/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="184632" href="https://sgtuniversity.academia.edu/SayantanChoudhury">Sayantan Choudhury</a><script data-card-contents-for-user="184632" type="text/json">{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"}</script></span></span></li><li class="js-paper-rank-work_41701772 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="41701772"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 41701772, container: ".js-paper-rank-work_41701772", }); });</script></li><li class="js-percentile-work_41701772 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 41701772; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_41701772"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_41701772 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="41701772"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 41701772; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=41701772]").text(description); $(".js-view-count-work_41701772").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_41701772").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="41701772"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">15</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="503" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Physics">Theoretical Physics</a>, <script data-card-contents-for-ri="503" type="text/json">{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="888" rel="nofollow" href="https://www.academia.edu/Documents/in/Cosmology_Physics_">Cosmology (Physics)</a>, <script data-card-contents-for-ri="888" type="text/json">{"id":888,"name":"Cosmology (Physics)","url":"https://www.academia.edu/Documents/in/Cosmology_Physics_?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="1247" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Gravity">Quantum Gravity</a><script data-card-contents-for-ri="1247" type="text/json">{"id":1247,"name":"Quantum Gravity","url":"https://www.academia.edu/Documents/in/Quantum_Gravity?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=41701772]'), work: {"id":41701772,"title":"Cosmology Meets Condensed Matter Physics","created_at":"2020-01-22T06:36:48.623-08:00","url":"https://www.academia.edu/41701772/Cosmology_Meets_Condensed_Matter_Physics?f_ri=99372","dom_id":"work_41701772","summary":"In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and reheating implemented under a closed quantum mechanical system in early universe cosmology. In this connection, we also present a derivation of quantum corrected version of the Fokker–Planck equation without dissipation and its fourth-order corrected analytical solution for the probability distribution profile responsible for studying the dynamical features of the particle creation events in the stochastic inflation and reheating stage of the universe. It is explicitly shown from our computation that quantum corrected Fokker–Planck equation describes the particle creation phenomena better for Dirac delta type of scatterer. In this connection, we additionally discuss Itô, Stratonovich prescription and the explicit role of finite temperature effective potential for solving the probability distribution profile. Furthermore, we extend our discussion of particle production phenomena to describe the quantum description of randomness involved in the dynamics. We also present computation to derive the expression for the measure of the stochastic nonlinearity (randomness or chaos) arising in the stochastic inflation and reheating epoch of the universe, often described by Lyapunov Exponent. Apart from that, we quantify the quantum chaos arising in a closed system by a more strong measure, commonly known as Spectral Form Factor using the principles of random matrix theory (RMT). Finally, we discuss the role of out of time order correlation function (OTOC) to describe quantum chaos in early universe cosmology.","downloadable_attachments":[{"id":61860568,"asset_id":41701772,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"}],"research_interests":[{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":888,"name":"Cosmology (Physics)","url":"https://www.academia.edu/Documents/in/Cosmology_Physics_?f_ri=99372","nofollow":true},{"id":1247,"name":"Quantum Gravity","url":"https://www.academia.edu/Documents/in/Quantum_Gravity?f_ri=99372","nofollow":true},{"id":2328,"name":"Soft Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Soft_Condensed_Matter_Physics?f_ri=99372"},{"id":2578,"name":"Particle Physics","url":"https://www.academia.edu/Documents/in/Particle_Physics?f_ri=99372"},{"id":6813,"name":"Quantum Cosmology","url":"https://www.academia.edu/Documents/in/Quantum_Cosmology?f_ri=99372"},{"id":7936,"name":"Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Quantum_Mechanics?f_ri=99372"},{"id":12114,"name":"Cosmic Inflation","url":"https://www.academia.edu/Documents/in/Cosmic_Inflation?f_ri=99372"},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372"},{"id":79394,"name":"Gravity","url":"https://www.academia.edu/Documents/in/Gravity?f_ri=99372"},{"id":99371,"name":"Theoretical Particle Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Particle_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":113317,"name":"Inflation","url":"https://www.academia.edu/Documents/in/Inflation?f_ri=99372"},{"id":137277,"name":"Random Matrix Theory","url":"https://www.academia.edu/Documents/in/Random_Matrix_Theory?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_25061692 coauthored" data-work_id="25061692" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/25061692/Thermodynamics_of_structurally_disordered_s_d_model">Thermodynamics of structurally disordered s -d model</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Spin-electron exchange model is generalized and used for description of magnetic states of amorphous substitutional alloys with the structural disorder of the liquid type. A scheme of consistently accounting for the contributions of... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_25061692" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Spin-electron exchange model is generalized and used for description of magnetic states of amorphous substitutional alloys with the structural disorder of the liquid type. A scheme of consistently accounting for the contributions of structural fluctuations to the thermodynamic functions and observable quantities is considered. Using the perturbation theory, the functional of thermodynamic potential is constructed as a functional power series. In the random phase approximation (RPA), the grand thermodynamic potential of the model is calculated. Self-consistency conditions are given, from which equations for magnetizations and critical temperature of the paramagnetic-ferromagnetic transition are obtained.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/25061692" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="3fb52219ade376a9f3a1be586d6f1dbf" rel="nofollow" data-download="{"attachment_id":45583067,"asset_id":25061692,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/45583067/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="48338689" href="https://independent.academia.edu/GrygorijVPonedilok">Grygorij V. Ponedilok</a><script data-card-contents-for-user="48338689" type="text/json">{"id":48338689,"first_name":"Grygorij V.","last_name":"Ponedilok","domain_name":"independent","page_name":"GrygorijVPonedilok","display_name":"Grygorij V. Ponedilok","profile_url":"https://independent.academia.edu/GrygorijVPonedilok?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-25061692">+1</span><div class="hidden js-additional-users-25061692"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://ualberta.academia.edu/LyudmylaDorosh">Lyudmyla Dorosh</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-25061692'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-25061692').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_25061692 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="25061692"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 25061692, container: ".js-paper-rank-work_25061692", }); });</script></li><li class="js-percentile-work_25061692 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 25061692; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_25061692"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_25061692 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="25061692"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 25061692; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=25061692]").text(description); $(".js-view-count-work_25061692").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_25061692").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="25061692"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48068" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Theory">Condensed Matter Theory</a>, <script data-card-contents-for-ri="48068" type="text/json">{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a>, <script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="136792" rel="nofollow" href="https://www.academia.edu/Documents/in/Amorphous_Alloys">Amorphous Alloys</a>, <script data-card-contents-for-ri="136792" type="text/json">{"id":136792,"name":"Amorphous Alloys","url":"https://www.academia.edu/Documents/in/Amorphous_Alloys?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="519549" rel="nofollow" href="https://www.academia.edu/Documents/in/Magnetization">Magnetization</a><script data-card-contents-for-ri="519549" type="text/json">{"id":519549,"name":"Magnetization","url":"https://www.academia.edu/Documents/in/Magnetization?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=25061692]'), work: {"id":25061692,"title":"Thermodynamics of structurally disordered s -d model","created_at":"2016-05-05T11:40:10.938-07:00","url":"https://www.academia.edu/25061692/Thermodynamics_of_structurally_disordered_s_d_model?f_ri=99372","dom_id":"work_25061692","summary":"Spin-electron exchange model is generalized and used for description of magnetic states of amorphous substitutional alloys with the structural disorder of the liquid type. A scheme of consistently accounting for the contributions of structural fluctuations to the thermodynamic functions and observable quantities is considered. Using the perturbation theory, the functional of thermodynamic potential is constructed as a functional power series. In the random phase approximation (RPA), the grand thermodynamic potential of the model is calculated. Self-consistency conditions are given, from which equations for magnetizations and critical temperature of the paramagnetic-ferromagnetic transition are obtained.","downloadable_attachments":[{"id":45583067,"asset_id":25061692,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":48338689,"first_name":"Grygorij V.","last_name":"Ponedilok","domain_name":"independent","page_name":"GrygorijVPonedilok","display_name":"Grygorij V. Ponedilok","profile_url":"https://independent.academia.edu/GrygorijVPonedilok?f_ri=99372","photo":"/images/s65_no_pic.png"},{"id":22215435,"first_name":"Lyudmyla","last_name":"Dorosh","domain_name":"ualberta","page_name":"LyudmylaDorosh","display_name":"Lyudmyla Dorosh","profile_url":"https://ualberta.academia.edu/LyudmylaDorosh?f_ri=99372","photo":"https://0.academia-photos.com/22215435/12714178/14141545/s65_lyudmyla.dorosh.jpg"}],"research_interests":[{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":136792,"name":"Amorphous Alloys","url":"https://www.academia.edu/Documents/in/Amorphous_Alloys?f_ri=99372","nofollow":true},{"id":519549,"name":"Magnetization","url":"https://www.academia.edu/Documents/in/Magnetization?f_ri=99372","nofollow":true},{"id":822051,"name":"TOTAL POTENTIAL ENERGY FUNCTIONAL","url":"https://www.academia.edu/Documents/in/TOTAL_POTENTIAL_ENERGY_FUNCTIONAL?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_2247841" data-work_id="2247841" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/2247841/Quantum_phases_of_hard_core_bosons_in_a_frustrated_honeycomb_lattice">Quantum phases of hard-core bosons in a frustrated honeycomb lattice </a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Using exact diagonalization calculations, we investigate the ground-state phase diagram of the hard-core Bose–Hubbard–Haldane model on the honeycomb lattice. This allows us to probe the stability of the Bose-metal phase proposed in Varney... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_2247841" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Using exact diagonalization calculations, we investigate the ground-state phase diagram of the hard-core Bose–Hubbard–Haldane model on the honeycomb lattice. This allows us to probe the stability of the Bose-metal phase proposed in Varney et al (2011 Phys. Rev. Lett. 107 077201), against various changes in the originally studied Hamiltonian.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/2247841" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="ce3aaeff4d04f69a3857cd547ac248e2" rel="nofollow" data-download="{"attachment_id":30299401,"asset_id":2247841,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/30299401/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="139428" href="https://uwf.academia.edu/ChristopherVarney">Christopher Varney</a><script data-card-contents-for-user="139428" type="text/json">{"id":139428,"first_name":"Christopher","last_name":"Varney","domain_name":"uwf","page_name":"ChristopherVarney","display_name":"Christopher Varney","profile_url":"https://uwf.academia.edu/ChristopherVarney?f_ri=99372","photo":"https://0.academia-photos.com/139428/36984/937107/s65_christopher.varney.jpg"}</script></span></span></li><li class="js-paper-rank-work_2247841 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="2247841"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 2247841, container: ".js-paper-rank-work_2247841", }); });</script></li><li class="js-percentile-work_2247841 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 2247841; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_2247841"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_2247841 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="2247841"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 2247841; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=2247841]").text(description); $(".js-view-count-work_2247841").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_2247841").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="2247841"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="504" rel="nofollow" href="https://www.academia.edu/Documents/in/Computational_Physics">Computational Physics</a>, <script data-card-contents-for-ri="504" type="text/json">{"id":504,"name":"Computational Physics","url":"https://www.academia.edu/Documents/in/Computational_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="4876" rel="nofollow" href="https://www.academia.edu/Documents/in/Many_Body_Quantum">Many Body Quantum</a>, <script data-card-contents-for-ri="4876" type="text/json">{"id":4876,"name":"Many Body Quantum","url":"https://www.academia.edu/Documents/in/Many_Body_Quantum?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="32745" rel="nofollow" href="https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems">Strongly-correlated electron systems</a>, <script data-card-contents-for-ri="32745" type="text/json">{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="59583" rel="nofollow" href="https://www.academia.edu/Documents/in/Frustrated_spin_systems">Frustrated spin systems</a><script data-card-contents-for-ri="59583" type="text/json">{"id":59583,"name":"Frustrated spin systems","url":"https://www.academia.edu/Documents/in/Frustrated_spin_systems?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=2247841]'), work: {"id":2247841,"title":"Quantum phases of hard-core bosons in a frustrated honeycomb lattice ","created_at":"2012-12-06T05:08:00.909-08:00","url":"https://www.academia.edu/2247841/Quantum_phases_of_hard_core_bosons_in_a_frustrated_honeycomb_lattice?f_ri=99372","dom_id":"work_2247841","summary":"Using exact diagonalization calculations, we investigate the ground-state phase diagram of the hard-core Bose–Hubbard–Haldane model on the honeycomb lattice. This allows us to probe the stability of the Bose-metal phase proposed in Varney et al (2011 Phys. Rev. Lett. 107 077201), against various changes in the originally studied Hamiltonian.","downloadable_attachments":[{"id":30299401,"asset_id":2247841,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":139428,"first_name":"Christopher","last_name":"Varney","domain_name":"uwf","page_name":"ChristopherVarney","display_name":"Christopher Varney","profile_url":"https://uwf.academia.edu/ChristopherVarney?f_ri=99372","photo":"https://0.academia-photos.com/139428/36984/937107/s65_christopher.varney.jpg"}],"research_interests":[{"id":504,"name":"Computational Physics","url":"https://www.academia.edu/Documents/in/Computational_Physics?f_ri=99372","nofollow":true},{"id":4876,"name":"Many Body Quantum","url":"https://www.academia.edu/Documents/in/Many_Body_Quantum?f_ri=99372","nofollow":true},{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true},{"id":59583,"name":"Frustrated spin systems","url":"https://www.academia.edu/Documents/in/Frustrated_spin_systems?f_ri=99372","nofollow":true},{"id":77970,"name":"Exact Diagonalization","url":"https://www.academia.edu/Documents/in/Exact_Diagonalization?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_49212079" data-work_id="49212079" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/49212079/Thermalization_Phenomena_in_Quenched_Quantum_Brownian_Motion_in_De_Sitter_Space">Thermalization Phenomena in Quenched Quantum Brownian Motion in De Sitter Space</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this talk, we study the quantum field theoretic generalization of the Caldeira-Leggett model to describe the Brownian Motion in general curved space-time considering interactions between two scalar fields in a classical gravitational... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_49212079" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this talk, we study the quantum field theoretic generalization of the Caldeira-Leggett model to describe the Brownian Motion in general curved space-time considering interactions between two scalar fields in a classical gravitational background. The thermalization phenomena is then studied from the obtained de Sitter solution using quantum quench from one scalar field model obtained from path integrated effective action in Euclidean signature. We consider an instantaneous quench in the time-dependent mass protocol of the field of our interest. We find that the dynamics of the field post-quench can be described in terms of the state of the generalized Calabrese-Cardy (gCC) form and computed the different types of two-point correlation functions in this context. We explicitly found the conserved charges of 𝑊∞ algebra that represents the gCC state after a quench in de Sitter space and found it to be significantly different from the flat space-time results. We extend our study for the different two-point correlation functions not only considering the pre-quench state as the ground state, but also a squeezed state. We found that irrespective of the pre-quench state, the post quench state can be written in terms of the gCC state showing that the subsystem of our interest thermalizes in de Sitter space. Furthermore, we provide a general expression for the two-point correlators and explicitly show the thermalization process by considering a thermal Generalized Gibbs ensemble (GGE). Finally, from the equal time momentum dependent counterpart of the obtained results for the two-point correlators, we have studied the hidden features of the power spectra and studied its consequences for different choices of the quantum initial conditions.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/49212079" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e347a96ef19bfd4f1b590c26e527720a" rel="nofollow" data-download="{"attachment_id":67598369,"asset_id":49212079,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/67598369/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="184632" href="https://sgtuniversity.academia.edu/SayantanChoudhury">Sayantan Choudhury</a><script data-card-contents-for-user="184632" type="text/json">{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"}</script></span></span></li><li class="js-paper-rank-work_49212079 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="49212079"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 49212079, container: ".js-paper-rank-work_49212079", }); 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$(".js-view-count[data-work-id=49212079]").text(description); $(".js-view-count-work_49212079").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_49212079").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="49212079"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">17</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="518" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="888" rel="nofollow" href="https://www.academia.edu/Documents/in/Cosmology_Physics_">Cosmology (Physics)</a>, <script data-card-contents-for-ri="888" type="text/json">{"id":888,"name":"Cosmology (Physics)","url":"https://www.academia.edu/Documents/in/Cosmology_Physics_?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="1247" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Gravity">Quantum Gravity</a><script data-card-contents-for-ri="1247" type="text/json">{"id":1247,"name":"Quantum Gravity","url":"https://www.academia.edu/Documents/in/Quantum_Gravity?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=49212079]'), work: {"id":49212079,"title":"Thermalization Phenomena in Quenched Quantum Brownian Motion in De Sitter Space","created_at":"2021-06-11T09:56:18.230-07:00","url":"https://www.academia.edu/49212079/Thermalization_Phenomena_in_Quenched_Quantum_Brownian_Motion_in_De_Sitter_Space?f_ri=99372","dom_id":"work_49212079","summary":"In this talk, we study the quantum field theoretic generalization of the Caldeira-Leggett model to describe the Brownian Motion in general curved space-time considering interactions between two scalar fields in a classical gravitational background. The thermalization phenomena is then studied from the obtained de Sitter solution using quantum quench from one scalar field model obtained from path integrated effective action in Euclidean signature. We consider an instantaneous quench in the time-dependent mass protocol of the field of our interest. We find that the dynamics of the field post-quench can be described in terms of the state of the generalized Calabrese-Cardy (gCC) form and computed the different types of two-point correlation functions in this context. We explicitly found the conserved charges of 𝑊∞ algebra that represents the gCC state after a quench in de Sitter space and found it to be significantly different from the flat space-time results. We extend our study for the different two-point correlation functions not only considering the pre-quench state as the ground state, but also a squeezed state. We found that irrespective of the pre-quench state, the post quench state can be written in terms of the gCC state showing that the subsystem of our interest thermalizes in de Sitter space. Furthermore, we provide a general expression for the two-point correlators and explicitly show the thermalization process by considering a thermal Generalized Gibbs ensemble (GGE). Finally, from the equal time momentum dependent counterpart of the obtained results for the two-point correlators, we have studied the hidden features of the power spectra and studied its consequences for different choices of the quantum initial conditions.","downloadable_attachments":[{"id":67598369,"asset_id":49212079,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true},{"id":888,"name":"Cosmology (Physics)","url":"https://www.academia.edu/Documents/in/Cosmology_Physics_?f_ri=99372","nofollow":true},{"id":1247,"name":"Quantum Gravity","url":"https://www.academia.edu/Documents/in/Quantum_Gravity?f_ri=99372","nofollow":true},{"id":6022,"name":"Quantum Open Systems","url":"https://www.academia.edu/Documents/in/Quantum_Open_Systems?f_ri=99372"},{"id":6813,"name":"Quantum Cosmology","url":"https://www.academia.edu/Documents/in/Quantum_Cosmology?f_ri=99372"},{"id":7936,"name":"Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Quantum_Mechanics?f_ri=99372"},{"id":10092,"name":"Quantum Field Theory","url":"https://www.academia.edu/Documents/in/Quantum_Field_Theory?f_ri=99372"},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372"},{"id":79394,"name":"Gravity","url":"https://www.academia.edu/Documents/in/Gravity?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":136128,"name":"Brownian Motion","url":"https://www.academia.edu/Documents/in/Brownian_Motion?f_ri=99372"},{"id":239859,"name":"Thermalization","url":"https://www.academia.edu/Documents/in/Thermalization?f_ri=99372"},{"id":375245,"name":"Open Quantum Systems","url":"https://www.academia.edu/Documents/in/Open_Quantum_Systems?f_ri=99372"},{"id":396664,"name":"De Sitter","url":"https://www.academia.edu/Documents/in/De_Sitter?f_ri=99372"},{"id":992308,"name":"Quantum Information In Open Systems","url":"https://www.academia.edu/Documents/in/Quantum_Information_In_Open_Systems?f_ri=99372"},{"id":2418085,"name":"Feynman path integral","url":"https://www.academia.edu/Documents/in/Feynman_path_integral?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_82225880" data-work_id="82225880" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/82225880/Formal_Equivalence_Between_Partitioned_and_Partition_Free_Quenches_in_Quantum_Transport">Formal Equivalence Between Partitioned and Partition-Free Quenches in Quantum Transport</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this paper we review the partitioned and partition-free approaches to the calculation of the time-dependent response of a molecular junction to the switch-on of an arbitrary time-dependent bias. Using the non equilibrium Green's... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_82225880" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this paper we review the partitioned and partition-free approaches to the calculation of the time-dependent response of a molecular junction to the switch-on of an arbitrary time-dependent bias. Using the non equilibrium Green's function formalism on different time contours, we derive a formal equivalence between these two approaches. This clarifies a recent result of [PRB 95, 104301 (2017)], which is valid for a static bias and single level molecular structure, and extends it to arbitrary time-dependent biases and arbitrarily large molecular structures.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/82225880" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="af6bd0a71df12bbe49d2715f74ca9070" rel="nofollow" data-download="{"attachment_id":88001174,"asset_id":82225880,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/88001174/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="68751474" href="https://jyu.academia.edu/RikuTuovinen">Riku Tuovinen</a><script data-card-contents-for-user="68751474" type="text/json">{"id":68751474,"first_name":"Riku","last_name":"Tuovinen","domain_name":"jyu","page_name":"RikuTuovinen","display_name":"Riku Tuovinen","profile_url":"https://jyu.academia.edu/RikuTuovinen?f_ri=99372","photo":"https://0.academia-photos.com/68751474/18115099/30654026/s65_riku.tuovinen.jpg"}</script></span></span></li><li class="js-paper-rank-work_82225880 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="82225880"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 82225880, container: ".js-paper-rank-work_82225880", }); 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Using the non equilibrium Green's function formalism on different time contours, we derive a formal equivalence between these two approaches. This clarifies a recent result of [PRB 95, 104301 (2017)], which is valid for a static bias and single level molecular structure, and extends it to arbitrary time-dependent biases and arbitrarily large molecular structures.","downloadable_attachments":[{"id":88001174,"asset_id":82225880,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":68751474,"first_name":"Riku","last_name":"Tuovinen","domain_name":"jyu","page_name":"RikuTuovinen","display_name":"Riku Tuovinen","profile_url":"https://jyu.academia.edu/RikuTuovinen?f_ri=99372","photo":"https://0.academia-photos.com/68751474/18115099/30654026/s65_riku.tuovinen.jpg"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true},{"id":444,"name":"Quantum Computing","url":"https://www.academia.edu/Documents/in/Quantum_Computing?f_ri=99372","nofollow":true},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372"},{"id":520,"name":"Statistical Mechanics","url":"https://www.academia.edu/Documents/in/Statistical_Mechanics?f_ri=99372"},{"id":529,"name":"Quantum Chemistry","url":"https://www.academia.edu/Documents/in/Quantum_Chemistry?f_ri=99372"},{"id":2640,"name":"Quantum Information","url":"https://www.academia.edu/Documents/in/Quantum_Information?f_ri=99372"},{"id":3988,"name":"Nanoelectronics","url":"https://www.academia.edu/Documents/in/Nanoelectronics?f_ri=99372"},{"id":7936,"name":"Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Quantum_Mechanics?f_ri=99372"},{"id":10092,"name":"Quantum Field Theory","url":"https://www.academia.edu/Documents/in/Quantum_Field_Theory?f_ri=99372"},{"id":11973,"name":"Nanomaterials","url":"https://www.academia.edu/Documents/in/Nanomaterials?f_ri=99372"},{"id":17733,"name":"Nanotechnology","url":"https://www.academia.edu/Documents/in/Nanotechnology?f_ri=99372"},{"id":48317,"name":"Quantum Dots","url":"https://www.academia.edu/Documents/in/Quantum_Dots?f_ri=99372"},{"id":71115,"name":"Low Temperature Physics","url":"https://www.academia.edu/Documents/in/Low_Temperature_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":103213,"name":"Nanoscience","url":"https://www.academia.edu/Documents/in/Nanoscience?f_ri=99372"},{"id":255160,"name":"(nano \u0026 Micro Electronics) \u0026(software Programing)","url":"https://www.academia.edu/Documents/in/_nano_and_Micro_Electronics_and_software_Programing_?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_37404282 coauthored" data-work_id="37404282" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/37404282/Quantum_Out_of_Equilibrium_Cosmology">Quantum Out-of-Equilibrium Cosmology</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_37404282" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and reheating implemented under a closed quantum mechanical system in early universe cosmology. In this connection, we also present a derivation of quantum corrected version of the Fokker Planck equation without dissipation and its fourth order corrected analytical solution for the probability distribution profile responsible for studying the dynamical features of the particle creation events in the stochastic inflation and reheating stage of the universe. It is explicitly shown from our computation that quantum corrected Fokker Planck equation describe the particle creation phenomena better for Dirac delta type of scatterer. In this connection, we additionally discuss Itô, Stratonovich prescription and the explicit role of finite temperature effective potential for solving the probability distribution profile. Furthermore, we extend our discussion of particle production phenomena to describe the quantum description of randomness involved in the dynamics. We also present a computation to derive the expression for the measure of the stochastic non-linearity (randomness or chaos) arising in the stochastic inflation and reheating epoch of the universe, often described by Lyapunov Exponent. Apart from that, we quantify the quantum chaos arising in a closed system by a more strong measure, commonly known as Spectral Form Factor using the principles of Random Matrix Theory (RMT). Additionally, we discuss the role of out of time order correlation function (OTOC) to describe quantum chaos in the present non-equilibrium field theoretic setup and its consequences in early universe cosmology (stochastic inflation and reheating). Finally, for completeness, we also provide a bound on the measure of quantum chaos (i.e. on Lyapunov Exponent and Spectral Form Factor) arising due to the presence of stochastic non-linear dynamical interactions into the closed quantum system of the early universe in a completely model-independent way.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/37404282" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="06545b98ff572f948aa8c304331787ba" rel="nofollow" data-download="{"attachment_id":57367970,"asset_id":37404282,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/57367970/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="184632" href="https://sgtuniversity.academia.edu/SayantanChoudhury">Sayantan Choudhury</a><script data-card-contents-for-user="184632" type="text/json">{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-37404282">+1</span><div class="hidden js-additional-users-37404282"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://osu.academia.edu/ArkapravaMukherjee">Arkaprava Mukherjee</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-37404282'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-37404282').html(); 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In this connection, we also present a derivation of quantum corrected version of the Fokker Planck equation without dissipation and its fourth order corrected analytical solution for the probability distribution profile responsible for studying the dynamical features of the particle creation events in the stochastic inflation and reheating stage of the universe. It is explicitly shown from our computation that quantum corrected Fokker Planck equation describe the particle creation phenomena better for Dirac delta type of scatterer. In this connection, we additionally discuss Itô, Stratonovich prescription and the explicit role of finite temperature effective potential for solving the probability distribution profile. Furthermore, we extend our discussion of particle production phenomena to describe the quantum description of randomness involved in the dynamics. We also present a computation to derive the expression for the measure of the stochastic non-linearity (randomness or chaos) arising in the stochastic inflation and reheating epoch of the universe, often described by Lyapunov Exponent. Apart from that, we quantify the quantum chaos arising in a closed system by a more strong measure, commonly known as Spectral Form Factor using the principles of Random Matrix Theory (RMT). Additionally, we discuss the role of out of time order correlation function (OTOC) to describe quantum chaos in the present non-equilibrium field theoretic setup and its consequences in early universe cosmology (stochastic inflation and reheating). Finally, for completeness, we also provide a bound on the measure of quantum chaos (i.e. on Lyapunov Exponent and Spectral Form Factor) arising due to the presence of stochastic non-linear dynamical interactions into the closed quantum system of the early universe in a completely model-independent way.","downloadable_attachments":[{"id":57367970,"asset_id":37404282,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":184632,"first_name":"Sayantan","last_name":"Choudhury","domain_name":"sgtuniversity","page_name":"SayantanChoudhury","display_name":"Sayantan Choudhury","profile_url":"https://sgtuniversity.academia.edu/SayantanChoudhury?f_ri=99372","photo":"https://0.academia-photos.com/184632/45366/77994148/s65_sayantan.choudhury.png"},{"id":70853315,"first_name":"Arkaprava","last_name":"Mukherjee","domain_name":"osu","page_name":"ArkapravaMukherjee","display_name":"Arkaprava Mukherjee","profile_url":"https://osu.academia.edu/ArkapravaMukherjee?f_ri=99372","photo":"https://0.academia-photos.com/70853315/28403195/26570912/s65_arkaprava.mukherjee.jpg"}],"research_interests":[{"id":347,"name":"Stochastic Process","url":"https://www.academia.edu/Documents/in/Stochastic_Process?f_ri=99372","nofollow":true},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true},{"id":520,"name":"Statistical Mechanics","url":"https://www.academia.edu/Documents/in/Statistical_Mechanics?f_ri=99372","nofollow":true},{"id":888,"name":"Cosmology (Physics)","url":"https://www.academia.edu/Documents/in/Cosmology_Physics_?f_ri=99372","nofollow":true},{"id":1246,"name":"Gravitation","url":"https://www.academia.edu/Documents/in/Gravitation?f_ri=99372"},{"id":3396,"name":"Foundations of Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Foundations_of_Quantum_Mechanics?f_ri=99372"},{"id":7936,"name":"Quantum Mechanics","url":"https://www.academia.edu/Documents/in/Quantum_Mechanics?f_ri=99372"},{"id":9434,"name":"Chaos Theory","url":"https://www.academia.edu/Documents/in/Chaos_Theory?f_ri=99372"},{"id":10092,"name":"Quantum Field Theory","url":"https://www.academia.edu/Documents/in/Quantum_Field_Theory?f_ri=99372"},{"id":11356,"name":"Quantum Chaos","url":"https://www.academia.edu/Documents/in/Quantum_Chaos?f_ri=99372"},{"id":16460,"name":"Statistical Physics","url":"https://www.academia.edu/Documents/in/Statistical_Physics?f_ri=99372"},{"id":19204,"name":"Nonequilibrium statistical mechanics","url":"https://www.academia.edu/Documents/in/Nonequilibrium_statistical_mechanics?f_ri=99372"},{"id":77625,"name":"Quantum Quenches","url":"https://www.academia.edu/Documents/in/Quantum_Quenches?f_ri=99372"},{"id":79394,"name":"Gravity","url":"https://www.academia.edu/Documents/in/Gravity?f_ri=99372"},{"id":99371,"name":"Theoretical Particle Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Particle_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":113317,"name":"Inflation","url":"https://www.academia.edu/Documents/in/Inflation?f_ri=99372"},{"id":137277,"name":"Random Matrix Theory","url":"https://www.academia.edu/Documents/in/Random_Matrix_Theory?f_ri=99372"},{"id":277776,"name":"Quantum and classical statistical mechanics","url":"https://www.academia.edu/Documents/in/Quantum_and_classical_statistical_mechanics?f_ri=99372"},{"id":1343860,"name":"Statistical Field Theory","url":"https://www.academia.edu/Documents/in/Statistical_Field_Theory?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_12008045" data-work_id="12008045" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/12008045/Vortex_coalescence_and_type_1_5_superconductivity_in_Sr_2_RuO_4_">Vortex coalescence and type-1.5 superconductivity in Sr_ {2} RuO_ {4}</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Recently vortex coalescence was reported in superconducting Sr2RuO4 by several experimental groups for fields applied along the c-axis. We argue that Sr2RuO4 is a type-1.5 superconductor with long-range attractive, short-range repulsive... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_12008045" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Recently vortex coalescence was reported in superconducting Sr2RuO4 by several experimental groups for fields applied along the c-axis. We argue that Sr2RuO4 is a type-1.5 superconductor with long-range attractive, short-range repulsive intervortex interaction. The type-1.5 behavior stems from an interplay of the two orbital degrees of freedom describing this chiral superconductor together with the multiband nature of the superconductivity. These multiple degrees of freedom give rise to multiple coherence lengths, some of which are larger and some smaller than the magnetic field penetration length, resulting in nonmonotonic intervortex forces.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/12008045" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a52cb3adc46df2ce2de936995048b0c9" rel="nofollow" data-download="{"attachment_id":37347604,"asset_id":12008045,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/37347604/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="29885888" href="https://kth.academia.edu/EgorBabaev">Egor Babaev</a><script data-card-contents-for-user="29885888" type="text/json">{"id":29885888,"first_name":"Egor","last_name":"Babaev","domain_name":"kth","page_name":"EgorBabaev","display_name":"Egor Babaev","profile_url":"https://kth.academia.edu/EgorBabaev?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_12008045 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="12008045"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 12008045, container: ".js-paper-rank-work_12008045", }); 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$(".js-view-count[data-work-id=12008045]").text(description); $(".js-view-count-work_12008045").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_12008045").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="12008045"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="6469" rel="nofollow" href="https://www.academia.edu/Documents/in/Superconductivity">Superconductivity</a>, <script data-card-contents-for-ri="6469" type="text/json">{"id":6469,"name":"Superconductivity","url":"https://www.academia.edu/Documents/in/Superconductivity?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="17733" rel="nofollow" href="https://www.academia.edu/Documents/in/Nanotechnology">Nanotechnology</a>, <script data-card-contents-for-ri="17733" type="text/json">{"id":17733,"name":"Nanotechnology","url":"https://www.academia.edu/Documents/in/Nanotechnology?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="48068" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Theory">Condensed Matter Theory</a>, <script data-card-contents-for-ri="48068" type="text/json">{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=12008045]'), work: {"id":12008045,"title":"Vortex coalescence and type-1.5 superconductivity in Sr_ {2} RuO_ {4}","created_at":"2015-04-19T02:20:15.135-07:00","url":"https://www.academia.edu/12008045/Vortex_coalescence_and_type_1_5_superconductivity_in_Sr_2_RuO_4_?f_ri=99372","dom_id":"work_12008045","summary":"Recently vortex coalescence was reported in superconducting Sr2RuO4 by several experimental groups for fields applied along the c-axis. We argue that Sr2RuO4 is a type-1.5 superconductor with long-range attractive, short-range repulsive intervortex interaction. The type-1.5 behavior stems from an interplay of the two orbital degrees of freedom describing this chiral superconductor together with the multiband nature of the superconductivity. These multiple degrees of freedom give rise to multiple coherence lengths, some of which are larger and some smaller than the magnetic field penetration length, resulting in nonmonotonic intervortex forces.","downloadable_attachments":[{"id":37347604,"asset_id":12008045,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":29885888,"first_name":"Egor","last_name":"Babaev","domain_name":"kth","page_name":"EgorBabaev","display_name":"Egor Babaev","profile_url":"https://kth.academia.edu/EgorBabaev?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":6469,"name":"Superconductivity","url":"https://www.academia.edu/Documents/in/Superconductivity?f_ri=99372","nofollow":true},{"id":17733,"name":"Nanotechnology","url":"https://www.academia.edu/Documents/in/Nanotechnology?f_ri=99372","nofollow":true},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":116688,"name":"Solitons","url":"https://www.academia.edu/Documents/in/Solitons?f_ri=99372"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=99372"},{"id":164891,"name":"Magnetic vortices","url":"https://www.academia.edu/Documents/in/Magnetic_vortices?f_ri=99372"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES?f_ri=99372"},{"id":485170,"name":"Theoretical Solid State Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Solid_State_Physics?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_76681206" data-work_id="76681206" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/76681206/A_Special_Relationship_Between_Matter_Energy_Information_and_Consciousness">A Special Relationship Between Matter, Energy, Information, and Consciousness</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This paper discusses the advantages of describing the universe, or nature, in terms of information and consciousness. Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_76681206" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This paper discusses the advantages of describing the universe, or nature, in terms of information and consciousness. Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations of trying to understand everything in terms of matter and energy only. However, if everything, including matter, energy, life, and mental processes, is described in terms of information and consciousness, much progress can be made in the search for the ultimate theory of the universe. As brilliant and successful as physics and chemistry have been over the last two centuries, it is important that nature is not viewed solely in terms of matter and energy. Two additional components are needed to unlock her secrets. While extensive writing exists that describes the connection between matter and energy and their physical basis, little work has been done to learn the special relationship between matter, energy, information, and consciousness.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/76681206" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c8f2f4b5a5a3f01b907a63d55420b6df" rel="nofollow" data-download="{"attachment_id":84308025,"asset_id":76681206,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/84308025/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="73224498" href="https://euclid.academia.edu/EdihoLokanga">Ediho Lokanga</a><script data-card-contents-for-user="73224498" type="text/json">{"id":73224498,"first_name":"Ediho","last_name":"Lokanga","domain_name":"euclid","page_name":"EdihoLokanga","display_name":"Ediho Lokanga","profile_url":"https://euclid.academia.edu/EdihoLokanga?f_ri=99372","photo":"https://0.academia-photos.com/73224498/18682857/18640853/s65_ediho.lokanga.png"}</script></span></span></li><li class="js-paper-rank-work_76681206 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="76681206"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 76681206, container: ".js-paper-rank-work_76681206", }); 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$(".js-view-count[data-work-id=76681206]").text(description); $(".js-view-count-work_76681206").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_76681206").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="76681206"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">14</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="491" rel="nofollow" href="https://www.academia.edu/Documents/in/Information_Technology">Information Technology</a>, <script data-card-contents-for-ri="491" type="text/json">{"id":491,"name":"Information Technology","url":"https://www.academia.edu/Documents/in/Information_Technology?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="498" rel="nofollow" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="2328" rel="nofollow" href="https://www.academia.edu/Documents/in/Soft_Condensed_Matter_Physics">Soft Condensed Matter Physics</a><script data-card-contents-for-ri="2328" type="text/json">{"id":2328,"name":"Soft Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Soft_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=76681206]'), work: {"id":76681206,"title":"A Special Relationship Between Matter, Energy, Information, and Consciousness","created_at":"2022-04-17T00:43:31.265-07:00","url":"https://www.academia.edu/76681206/A_Special_Relationship_Between_Matter_Energy_Information_and_Consciousness?f_ri=99372","dom_id":"work_76681206","summary":"This paper discusses the advantages of describing the universe, or nature, in terms of information and consciousness. Some problems encountered by theoretical physicists in the quest for the theory of everything stem from the limitations of trying to understand everything in terms of matter and energy only. However, if everything, including matter, energy, life, and mental processes, is described in terms of information and consciousness, much progress can be made in the search for the ultimate theory of the universe. As brilliant and successful as physics and chemistry have been over the last two centuries, it is important that nature is not viewed solely in terms of matter and energy. Two additional components are needed to unlock her secrets. While extensive writing exists that describes the connection between matter and energy and their physical basis, little work has been done to learn the special relationship between matter, energy, information, and consciousness.","downloadable_attachments":[{"id":84308025,"asset_id":76681206,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":73224498,"first_name":"Ediho","last_name":"Lokanga","domain_name":"euclid","page_name":"EdihoLokanga","display_name":"Ediho Lokanga","profile_url":"https://euclid.academia.edu/EdihoLokanga?f_ri=99372","photo":"https://0.academia-photos.com/73224498/18682857/18640853/s65_ediho.lokanga.png"}],"research_interests":[{"id":491,"name":"Information Technology","url":"https://www.academia.edu/Documents/in/Information_Technology?f_ri=99372","nofollow":true},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":2328,"name":"Soft Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Soft_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":4818,"name":"Dark Matter","url":"https://www.academia.edu/Documents/in/Dark_Matter?f_ri=99372"},{"id":5412,"name":"Energy","url":"https://www.academia.edu/Documents/in/Energy?f_ri=99372"},{"id":5481,"name":"Soft Matter","url":"https://www.academia.edu/Documents/in/Soft_Matter?f_ri=99372"},{"id":27418,"name":"Digital Physics","url":"https://www.academia.edu/Documents/in/Digital_Physics?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":171836,"name":"Nano Particles","url":"https://www.academia.edu/Documents/in/Nano_Particles?f_ri=99372"},{"id":173028,"name":"Soil organic matter","url":"https://www.academia.edu/Documents/in/Soil_organic_matter?f_ri=99372"},{"id":266621,"name":"Electrons","url":"https://www.academia.edu/Documents/in/Electrons?f_ri=99372"},{"id":631492,"name":"Modal Particles","url":"https://www.academia.edu/Documents/in/Modal_Particles?f_ri=99372"},{"id":809334,"name":"Interference of Particles/strings/waves","url":"https://www.academia.edu/Documents/in/Interference_of_Particles_strings_waves?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_49138814" data-work_id="49138814" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/49138814/Many_body_energy_invariant_for_T_linear_resistivity">Many-body energy invariant for T-linear resistivity</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The description of dynamics of strongly correlated quantum matter is a challenge, particularly in physical situations where a quasiparticle description is absent. In such situations, however, the many-body Kubo formula from linear... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_49138814" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The description of dynamics of strongly correlated quantum matter is a challenge, particularly in physical situations where a quasiparticle description is absent. In such situations, however, the many-body Kubo formula from linear response theory, involving matrix elements of the current operator computed with many-body wavefunctions, remains valid. Working directly in the many-body Hilbert space and not making any reference to quasiparticles (or lack thereof), we address the puzzle of linear in temperature (T-linear) resistivity seen in non-Fermi liquid phases that occur in several strongly correlated condensed matter systems. We derive a simple criterion for the occurrence of T-linear resistivity based on an analysis of the contributions to the many-body Kubo formula, determined by an energy invariant "f-function" involving current matrix elements and energy eigenvalues that describes the DC conductivity of the system in the microcanonical ensemble. Using full diagonalization, we test this criterion for the f-function in the spinless nearest neighbor Hubbard model, and in a system of Sachdev-Ye-Kitaev dots coupled by weak single particle hopping. We also study the f function for the spin conductivity in the 2D Heisenberg model with similar conclusions. Our work suggests that a general principle, formulated in terms of many-body Hilbert space concepts, is at the core of the occurrence of T-linear resistivity in a wide range of systems, and precisely translates T-linear resistivity into a notion of energy scale invariance far beyond what is typically associated with quantum critical points.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/49138814" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="efde0ab078c4222875cb72cde888c4aa" rel="nofollow" data-download="{"attachment_id":67529277,"asset_id":49138814,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/67529277/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="278304" href="https://fsu.academia.edu/HiteshChanglani">Hitesh Changlani</a><script data-card-contents-for-user="278304" type="text/json">{"id":278304,"first_name":"Hitesh","last_name":"Changlani","domain_name":"fsu","page_name":"HiteshChanglani","display_name":"Hitesh Changlani","profile_url":"https://fsu.academia.edu/HiteshChanglani?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_49138814 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="49138814"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 49138814, container: ".js-paper-rank-work_49138814", }); });</script></li><li class="js-percentile-work_49138814 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49138814; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_49138814"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_49138814 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="49138814"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49138814; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49138814]").text(description); $(".js-view-count-work_49138814").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_49138814").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="49138814"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=49138814]'), work: {"id":49138814,"title":"Many-body energy invariant for T-linear resistivity","created_at":"2021-06-05T16:44:01.761-07:00","url":"https://www.academia.edu/49138814/Many_body_energy_invariant_for_T_linear_resistivity?f_ri=99372","dom_id":"work_49138814","summary":"The description of dynamics of strongly correlated quantum matter is a challenge, particularly in physical situations where a quasiparticle description is absent. In such situations, however, the many-body Kubo formula from linear response theory, involving matrix elements of the current operator computed with many-body wavefunctions, remains valid. Working directly in the many-body Hilbert space and not making any reference to quasiparticles (or lack thereof), we address the puzzle of linear in temperature (T-linear) resistivity seen in non-Fermi liquid phases that occur in several strongly correlated condensed matter systems. We derive a simple criterion for the occurrence of T-linear resistivity based on an analysis of the contributions to the many-body Kubo formula, determined by an energy invariant \"f-function\" involving current matrix elements and energy eigenvalues that describes the DC conductivity of the system in the microcanonical ensemble. Using full diagonalization, we test this criterion for the f-function in the spinless nearest neighbor Hubbard model, and in a system of Sachdev-Ye-Kitaev dots coupled by weak single particle hopping. We also study the f function for the spin conductivity in the 2D Heisenberg model with similar conclusions. Our work suggests that a general principle, formulated in terms of many-body Hilbert space concepts, is at the core of the occurrence of T-linear resistivity in a wide range of systems, and precisely translates T-linear resistivity into a notion of energy scale invariance far beyond what is typically associated with quantum critical points.","downloadable_attachments":[{"id":67529277,"asset_id":49138814,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":278304,"first_name":"Hitesh","last_name":"Changlani","domain_name":"fsu","page_name":"HiteshChanglani","display_name":"Hitesh Changlani","profile_url":"https://fsu.academia.edu/HiteshChanglani?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_30148414" data-work_id="30148414" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/30148414/A_Free_field_Representation_of_the_Screening_Currents_of_Uq_sl_3_">A Free-field Representation of the Screening Currents of Uq(sl(3))</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We construct five independent screening currents associated with the U q (sl(3)) quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_30148414" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We construct five independent screening currents associated with the U q (sl(3)) quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analogue of the Wakimoto realization of the current algebra. Four of the screening currents are 'simple', in that each one is given as a single exponential field. The fifth is expressed as an infinite sum of exponential fields. For reasons we discuss, we expect that the structure of the screening currents for a general quantum affine algebra will be similar to the U q (sl(3)) case.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/30148414" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0a210bc49e4d1c87ceefda73aaf2a908" rel="nofollow" data-download="{"attachment_id":50606346,"asset_id":30148414,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/50606346/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="57302984" href="https://independent.academia.edu/HamidBougourzi">Hamid Bougourzi</a><script data-card-contents-for-user="57302984" type="text/json">{"id":57302984,"first_name":"Hamid","last_name":"Bougourzi","domain_name":"independent","page_name":"HamidBougourzi","display_name":"Hamid Bougourzi","profile_url":"https://independent.academia.edu/HamidBougourzi?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_30148414 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="30148414"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 30148414, container: ".js-paper-rank-work_30148414", }); });</script></li><li class="js-percentile-work_30148414 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30148414; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_30148414"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_30148414 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="30148414"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30148414; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30148414]").text(description); $(".js-view-count-work_30148414").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_30148414").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="30148414"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="318" rel="nofollow" href="https://www.academia.edu/Documents/in/Mathematical_Physics">Mathematical Physics</a>, <script data-card-contents-for-ri="318" type="text/json">{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="42348" rel="nofollow" href="https://www.academia.edu/Documents/in/Exactly-solvable_models">Exactly-solvable models</a>, <script data-card-contents-for-ri="42348" type="text/json">{"id":42348,"name":"Exactly-solvable models","url":"https://www.academia.edu/Documents/in/Exactly-solvable_models?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=30148414]'), work: {"id":30148414,"title":"A Free-field Representation of the Screening Currents of Uq(sl(3))","created_at":"2016-11-28T22:30:18.506-08:00","url":"https://www.academia.edu/30148414/A_Free_field_Representation_of_the_Screening_Currents_of_Uq_sl_3_?f_ri=99372","dom_id":"work_30148414","summary":"We construct five independent screening currents associated with the U q (sl(3)) quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analogue of the Wakimoto realization of the current algebra. Four of the screening currents are 'simple', in that each one is given as a single exponential field. The fifth is expressed as an infinite sum of exponential fields. For reasons we discuss, we expect that the structure of the screening currents for a general quantum affine algebra will be similar to the U q (sl(3)) case.","downloadable_attachments":[{"id":50606346,"asset_id":30148414,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":57302984,"first_name":"Hamid","last_name":"Bougourzi","domain_name":"independent","page_name":"HamidBougourzi","display_name":"Hamid Bougourzi","profile_url":"https://independent.academia.edu/HamidBougourzi?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true},{"id":42348,"name":"Exactly-solvable models","url":"https://www.academia.edu/Documents/in/Exactly-solvable_models?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_30148396" data-work_id="30148396" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/30148396/N_point_Correlation_Functions_of_the_Spin_1_XXZ_Model">N-point Correlation Functions of the Spin-1 XXZ Model</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_30148396" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra U q (su(2) 2) of level 2 and its corresponding type I vertex operators in terms of a deformed bosonic field free of a background charge, and a deformed fermionic field. Up to GSO type projections, the Fock space is already irreducible and therefore no BRST projections are involved. This means that no screening charges with their Jackson integrals are required. Consequently, our N-point correlation functions are given in terms of usual classical integrals only, just as those derived by Jimbo et al in the case of the spin-1/2 XXZ model through the Frenkel-Jing bosonization of U q (su(2) 1).</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/30148396" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="af6a7db15d2028b8c4d21d5f12626c93" rel="nofollow" data-download="{"attachment_id":50606305,"asset_id":30148396,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/50606305/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="57302984" href="https://independent.academia.edu/HamidBougourzi">Hamid Bougourzi</a><script data-card-contents-for-user="57302984" type="text/json">{"id":57302984,"first_name":"Hamid","last_name":"Bougourzi","domain_name":"independent","page_name":"HamidBougourzi","display_name":"Hamid Bougourzi","profile_url":"https://independent.academia.edu/HamidBougourzi?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_30148396 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="30148396"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 30148396, container: ".js-paper-rank-work_30148396", }); 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Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra U q (su(2) 2) of level 2 and its corresponding type I vertex operators in terms of a deformed bosonic field free of a background charge, and a deformed fermionic field. Up to GSO type projections, the Fock space is already irreducible and therefore no BRST projections are involved. This means that no screening charges with their Jackson integrals are required. Consequently, our N-point correlation functions are given in terms of usual classical integrals only, just as those derived by Jimbo et al in the case of the spin-1/2 XXZ model through the Frenkel-Jing bosonization of U q (su(2) 1).","downloadable_attachments":[{"id":50606305,"asset_id":30148396,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":57302984,"first_name":"Hamid","last_name":"Bougourzi","domain_name":"independent","page_name":"HamidBougourzi","display_name":"Hamid Bougourzi","profile_url":"https://independent.academia.edu/HamidBougourzi?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=99372","nofollow":true},{"id":42348,"name":"Exactly-solvable models","url":"https://www.academia.edu/Documents/in/Exactly-solvable_models?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_12008035" data-work_id="12008035" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/12008035/Type_1_5_superconductivity_in_multiband_systems_magnetic_response_broken_symmetries_and_microscopic_theory_A_brief_overview">Type-1.5 superconductivity in multiband systems: magnetic response, broken symmetries and microscopic theory. A brief overview</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A conventional superconductor is described by a single complex order parameter field which has two fundamental length scales, the magnetic field penetration depth λ and the coherence length ξ. Their ratio κ determines the response of a... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_12008035" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A conventional superconductor is described by a single complex order parameter field which has two fundamental length scales, the magnetic field penetration depth λ and the coherence length ξ. Their ratio κ determines the response of a superconductor to an external field, sorting them into two categories as follows; type-I when κ < 1/ √ 2 and type-II when κ > 1/ √ 2. We overview here multicomponent systems which can possess three or more fundamental length scales and allow a separate "type-1.5" superconducting state when, e.g. in two-component case ξ1 < √ 2λ < ξ2. In that state, as a consequence of the extra fundamental length scale, vortices attract one another at long range but repel at shorter ranges. As a consequence the system should form an additional Semi-Meissner state which properties we discuss below. In that state vortices form clusters in low magnetic fields. Inside the cluster one of the component is depleted and the superconductorto-normal interface has negative energy. In contrast the current in second component is mostly concentrated on the cluster's boundary, making the energy of this interface positive. Here we briefly overview recent developments in Ginzburg-Landau and microscopic descriptions of this state.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/12008035" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="6bc98ff0b1cc92eb26c2013976bab9ca" rel="nofollow" data-download="{"attachment_id":37347592,"asset_id":12008035,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/37347592/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="29885888" href="https://kth.academia.edu/EgorBabaev">Egor Babaev</a><script data-card-contents-for-user="29885888" type="text/json">{"id":29885888,"first_name":"Egor","last_name":"Babaev","domain_name":"kth","page_name":"EgorBabaev","display_name":"Egor Babaev","profile_url":"https://kth.academia.edu/EgorBabaev?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_12008035 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="12008035"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 12008035, container: ".js-paper-rank-work_12008035", }); 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A brief overview","created_at":"2015-04-19T02:19:49.613-07:00","url":"https://www.academia.edu/12008035/Type_1_5_superconductivity_in_multiband_systems_magnetic_response_broken_symmetries_and_microscopic_theory_A_brief_overview?f_ri=99372","dom_id":"work_12008035","summary":"A conventional superconductor is described by a single complex order parameter field which has two fundamental length scales, the magnetic field penetration depth λ and the coherence length ξ. Their ratio κ determines the response of a superconductor to an external field, sorting them into two categories as follows; type-I when κ \u003c 1/ √ 2 and type-II when κ \u003e 1/ √ 2. We overview here multicomponent systems which can possess three or more fundamental length scales and allow a separate \"type-1.5\" superconducting state when, e.g. in two-component case ξ1 \u003c √ 2λ \u003c ξ2. In that state, as a consequence of the extra fundamental length scale, vortices attract one another at long range but repel at shorter ranges. As a consequence the system should form an additional Semi-Meissner state which properties we discuss below. In that state vortices form clusters in low magnetic fields. Inside the cluster one of the component is depleted and the superconductorto-normal interface has negative energy. In contrast the current in second component is mostly concentrated on the cluster's boundary, making the energy of this interface positive. Here we briefly overview recent developments in Ginzburg-Landau and microscopic descriptions of this state.","downloadable_attachments":[{"id":37347592,"asset_id":12008035,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":29885888,"first_name":"Egor","last_name":"Babaev","domain_name":"kth","page_name":"EgorBabaev","display_name":"Egor Babaev","profile_url":"https://kth.academia.edu/EgorBabaev?f_ri=99372","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":56,"name":"Materials Engineering","url":"https://www.academia.edu/Documents/in/Materials_Engineering?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":6469,"name":"Superconductivity","url":"https://www.academia.edu/Documents/in/Superconductivity?f_ri=99372","nofollow":true},{"id":17733,"name":"Nanotechnology","url":"https://www.academia.edu/Documents/in/Nanotechnology?f_ri=99372","nofollow":true},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=99372"},{"id":48068,"name":"Condensed Matter Theory","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Theory?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=99372"},{"id":125513,"name":"Superconductors","url":"https://www.academia.edu/Documents/in/Superconductors?f_ri=99372"},{"id":132754,"name":"Normal Modes","url":"https://www.academia.edu/Documents/in/Normal_Modes?f_ri=99372"},{"id":148995,"name":"Long Range","url":"https://www.academia.edu/Documents/in/Long_Range?f_ri=99372"},{"id":164891,"name":"Magnetic vortices","url":"https://www.academia.edu/Documents/in/Magnetic_vortices?f_ri=99372"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES?f_ri=99372"},{"id":403158,"name":"Gauge Field","url":"https://www.academia.edu/Documents/in/Gauge_Field?f_ri=99372"},{"id":453823,"name":"Length scale","url":"https://www.academia.edu/Documents/in/Length_scale?f_ri=99372"},{"id":485170,"name":"Theoretical Solid State Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Solid_State_Physics?f_ri=99372"},{"id":514500,"name":"Ginzburg-Landau theory","url":"https://www.academia.edu/Documents/in/Ginzburg-Landau_theory?f_ri=99372"},{"id":832539,"name":"Penetration Depth","url":"https://www.academia.edu/Documents/in/Penetration_Depth?f_ri=99372"},{"id":960474,"name":"Order Parameter","url":"https://www.academia.edu/Documents/in/Order_Parameter?f_ri=99372"},{"id":1237788,"name":"Electrical And Electronic Engineering","url":"https://www.academia.edu/Documents/in/Electrical_And_Electronic_Engineering?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_25280930" data-work_id="25280930" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/25280930/Electron_density_of_states_and_spectrum_of_disordered_s_d_model">Electron density of states and spectrum of disordered s -d model</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Structurally disordered s-d model of magnetism in metals is investigated. The simplified model of binary alloy structure is offered, the structural correlation functions are calculated. The self-consistent equations for calculation of a... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_25280930" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Structurally disordered s-d model of magnetism in metals is investigated. The simplified model of binary alloy structure is offered, the structural correlation functions are calculated. The self-consistent equations for calculation of a spectrum, magnetization, electronic spin polarization and temperature of phase transition are obtained.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/25280930" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c862662f81c021565ad9584ba1f22589" rel="nofollow" data-download="{"attachment_id":45583069,"asset_id":25280930,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/45583069/download_file?st=MTc0MDYwMzY2Miw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="22215435" href="https://ualberta.academia.edu/LyudmylaDorosh">Lyudmyla Dorosh</a><script data-card-contents-for-user="22215435" type="text/json">{"id":22215435,"first_name":"Lyudmyla","last_name":"Dorosh","domain_name":"ualberta","page_name":"LyudmylaDorosh","display_name":"Lyudmyla Dorosh","profile_url":"https://ualberta.academia.edu/LyudmylaDorosh?f_ri=99372","photo":"https://0.academia-photos.com/22215435/12714178/14141545/s65_lyudmyla.dorosh.jpg"}</script></span></span></li><li class="js-paper-rank-work_25280930 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="25280930"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 25280930, container: ".js-paper-rank-work_25280930", }); 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The simplified model of binary alloy structure is offered, the structural correlation functions are calculated. The self-consistent equations for calculation of a spectrum, magnetization, electronic spin polarization and temperature of phase transition are obtained.","downloadable_attachments":[{"id":45583069,"asset_id":25280930,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":22215435,"first_name":"Lyudmyla","last_name":"Dorosh","domain_name":"ualberta","page_name":"LyudmylaDorosh","display_name":"Lyudmyla Dorosh","profile_url":"https://ualberta.academia.edu/LyudmylaDorosh?f_ri=99372","photo":"https://0.academia-photos.com/22215435/12714178/14141545/s65_lyudmyla.dorosh.jpg"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":219700,"name":"Electronic Density of States","url":"https://www.academia.edu/Documents/in/Electronic_Density_of_States?f_ri=99372","nofollow":true},{"id":1211301,"name":"Empirical Green Functions","url":"https://www.academia.edu/Documents/in/Empirical_Green_Functions?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_24929416 coauthored" data-work_id="24929416" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/24929416/Exceptional_point_description_of_one_dimensional_chiral_topological_superconductors_superfluids_in_BDI_class">Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We show that certain singularities of the Hamiltonian in the complex wave vector space can be used to identify topological quantum phase transitions for 1D chiral topological superconduc-tors/superfluids in the BDI class. These... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_24929416" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We show that certain singularities of the Hamiltonian in the complex wave vector space can be used to identify topological quantum phase transitions for 1D chiral topological superconduc-tors/superfluids in the BDI class. These singularities fall into the category of the so-called exceptional points (EP 's) studied in the context of non-Hermitian Hamiltonians describing open quantum systems. We also propose a generic formula in terms of the properties of the EP 's to quantify the exact number of Majorana zero modes in a particular chiral topological superconduct-ing phase, given the values of the parameters appearing in the Hamiltonian. This formula serves as an alternative to the familiar integer (Z) winding number invariant characterizing topological superconductor/superfluid phases in the chiral BDI class.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/24929416" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8870c704f0a07c771e740e8caeaf93ac" rel="nofollow" data-download="{"attachment_id":45259469,"asset_id":24929416,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/45259469/download_file?st=MTc0MDYwMzY2Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="51173251" href="https://independent.academia.edu/TewariSumanta">Sumanta Tewari</a><script data-card-contents-for-user="51173251" type="text/json">{"id":51173251,"first_name":"Sumanta","last_name":"Tewari","domain_name":"independent","page_name":"TewariSumanta","display_name":"Sumanta Tewari","profile_url":"https://independent.academia.edu/TewariSumanta?f_ri=99372","photo":"https://0.academia-photos.com/51173251/26464856/25021801/s65_sumanta.tewari.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-24929416">+1</span><div class="hidden js-additional-users-24929416"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://snu-in.academia.edu/IpsitaMandal">Ipsita Mandal</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-24929416'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-24929416').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_24929416 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="24929416"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 24929416; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=24929416]").text(description); $(".js-view-count-work_24929416").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_24929416").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="24929416"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="99372" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics">Theoretical Condensed Matter Physics</a><script data-card-contents-for-ri="99372" type="text/json">{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=24929416]'), work: {"id":24929416,"title":"Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class","created_at":"2016-05-01T16:35:10.636-07:00","url":"https://www.academia.edu/24929416/Exceptional_point_description_of_one_dimensional_chiral_topological_superconductors_superfluids_in_BDI_class?f_ri=99372","dom_id":"work_24929416","summary":"We show that certain singularities of the Hamiltonian in the complex wave vector space can be used to identify topological quantum phase transitions for 1D chiral topological superconduc-tors/superfluids in the BDI class. These singularities fall into the category of the so-called exceptional points (EP 's) studied in the context of non-Hermitian Hamiltonians describing open quantum systems. We also propose a generic formula in terms of the properties of the EP 's to quantify the exact number of Majorana zero modes in a particular chiral topological superconduct-ing phase, given the values of the parameters appearing in the Hamiltonian. This formula serves as an alternative to the familiar integer (Z) winding number invariant characterizing topological superconductor/superfluid phases in the chiral BDI class.","downloadable_attachments":[{"id":45259469,"asset_id":24929416,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":51173251,"first_name":"Sumanta","last_name":"Tewari","domain_name":"independent","page_name":"TewariSumanta","display_name":"Sumanta Tewari","profile_url":"https://independent.academia.edu/TewariSumanta?f_ri=99372","photo":"https://0.academia-photos.com/51173251/26464856/25021801/s65_sumanta.tewari.jpg"},{"id":2667348,"first_name":"Ipsita","last_name":"Mandal","domain_name":"snu-in","page_name":"IpsitaMandal","display_name":"Ipsita Mandal","profile_url":"https://snu-in.academia.edu/IpsitaMandal?f_ri=99372","photo":"https://0.academia-photos.com/2667348/851827/28765191/s65_ipsita.mandal.jpg"}],"research_interests":[{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372","nofollow":true}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_11572158" data-work_id="11572158" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/11572158/Quasiparticle_interference_from_magnetic_impurities">Quasiparticle interference from magnetic impurities</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Fourier transform scanning tunneling spectroscopy (FT-STS) measures the scattering of conduction electrons from impurities and defects, giving information about the electronic structure of both the host material and adsorbed impurities.... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_11572158" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Fourier transform scanning tunneling spectroscopy (FT-STS) measures the scattering of conduction electrons from impurities and defects, giving information about the electronic structure of both the host material and adsorbed impurities. We interpret such FT-STS measurements in terms of the quasiparticle interference (QPI), investigating the QPI due to magnetic impurities adsorbed on a range of representative non-magnetic host surfaces, and contrasting with the case of a simple scalar impurity or point defect. We demonstrate how the electronic correlations present for magnetic impurities markedly affect the QPI, showing e.g. a large intensity enhancement due to the Kondo effect, and universality at low temperatures/scanning-energies. The commonly-used joint density of states (JDOS) interpretation of FT-STS measurements is also considered, and shown to be insuffcient in many cases, including that of magnetic impurities.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/11572158" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="22c8ca565c2cbcf183a5c2ab9902719a" rel="nofollow" data-download="{"attachment_id":38175177,"asset_id":11572158,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38175177/download_file?st=MTc0MDYwMzY2Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="274655" href="https://ucd.academia.edu/AndrewMitchell">Andrew K Mitchell</a><script data-card-contents-for-user="274655" type="text/json">{"id":274655,"first_name":"Andrew","last_name":"Mitchell","domain_name":"ucd","page_name":"AndrewMitchell","display_name":"Andrew K Mitchell","profile_url":"https://ucd.academia.edu/AndrewMitchell?f_ri=99372","photo":"https://0.academia-photos.com/274655/56852/50193685/s65_andrew.mitchell.jpg"}</script></span></span></li><li class="js-paper-rank-work_11572158 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="11572158"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 11572158, container: ".js-paper-rank-work_11572158", }); 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$(".js-view-count[data-work-id=11572158]").text(description); $(".js-view-count-work_11572158").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_11572158").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="11572158"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="503" rel="nofollow" href="https://www.academia.edu/Documents/in/Theoretical_Physics">Theoretical Physics</a>, <script data-card-contents-for-ri="503" type="text/json">{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="32745" rel="nofollow" href="https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems">Strongly-correlated electron systems</a>, <script data-card-contents-for-ri="32745" type="text/json">{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="48839" rel="nofollow" href="https://www.academia.edu/Documents/in/Kondo_effect">Kondo effect</a><script data-card-contents-for-ri="48839" type="text/json">{"id":48839,"name":"Kondo effect","url":"https://www.academia.edu/Documents/in/Kondo_effect?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=11572158]'), work: {"id":11572158,"title":"Quasiparticle interference from magnetic impurities","created_at":"2015-03-21T11:59:46.866-07:00","url":"https://www.academia.edu/11572158/Quasiparticle_interference_from_magnetic_impurities?f_ri=99372","dom_id":"work_11572158","summary":"Fourier transform scanning tunneling spectroscopy (FT-STS) measures the scattering of conduction electrons from impurities and defects, giving information about the electronic structure of both the host material and adsorbed impurities. We interpret such FT-STS measurements in terms of the quasiparticle interference (QPI), investigating the QPI due to magnetic impurities adsorbed on a range of representative non-magnetic host surfaces, and contrasting with the case of a simple scalar impurity or point defect. We demonstrate how the electronic correlations present for magnetic impurities markedly affect the QPI, showing e.g. a large intensity enhancement due to the Kondo effect, and universality at low temperatures/scanning-energies. The commonly-used joint density of states (JDOS) interpretation of FT-STS measurements is also considered, and shown to be insuffcient in many cases, including that of magnetic impurities.","downloadable_attachments":[{"id":38175177,"asset_id":11572158,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":274655,"first_name":"Andrew","last_name":"Mitchell","domain_name":"ucd","page_name":"AndrewMitchell","display_name":"Andrew K Mitchell","profile_url":"https://ucd.academia.edu/AndrewMitchell?f_ri=99372","photo":"https://0.academia-photos.com/274655/56852/50193685/s65_andrew.mitchell.jpg"}],"research_interests":[{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":32745,"name":"Strongly-correlated electron systems","url":"https://www.academia.edu/Documents/in/Strongly-correlated_electron_systems?f_ri=99372","nofollow":true},{"id":48839,"name":"Kondo effect","url":"https://www.academia.edu/Documents/in/Kondo_effect?f_ri=99372","nofollow":true},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":146740,"name":"Impurity","url":"https://www.academia.edu/Documents/in/Impurity?f_ri=99372"},{"id":176022,"name":"STM","url":"https://www.academia.edu/Documents/in/STM?f_ri=99372"},{"id":725346,"name":"Quasiparticle Interference","url":"https://www.academia.edu/Documents/in/Quasiparticle_Interference?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_75296141" data-work_id="75296141" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/75296141/Multi_Particle_Interference_in_an_Electronic_Mach_Zehnder_Interferometer">Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_75296141" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the dif...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/75296141" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="098f27ce670e438777edcf97ba4b1c78" rel="nofollow" data-download="{"attachment_id":83121796,"asset_id":75296141,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/83121796/download_file?st=MTc0MDYwMzY2Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="2866697" href="https://nonlinearphotonics.academia.edu/MykhailoMoskalets">Mykhailo Moskalets</a><script data-card-contents-for-user="2866697" type="text/json">{"id":2866697,"first_name":"Mykhailo","last_name":"Moskalets","domain_name":"nonlinearphotonics","page_name":"MykhailoMoskalets","display_name":"Mykhailo Moskalets","profile_url":"https://nonlinearphotonics.academia.edu/MykhailoMoskalets?f_ri=99372","photo":"https://0.academia-photos.com/2866697/945397/76814122/s65_michael.moskalets.jpg"}</script></span></span></li><li class="js-paper-rank-work_75296141 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="75296141"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 75296141, container: ".js-paper-rank-work_75296141", }); 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$(".js-view-count[data-work-id=75296141]").text(description); $(".js-view-count-work_75296141").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_75296141").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="75296141"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">11</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="498" rel="nofollow" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="505" rel="nofollow" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="518" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="2640" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Information">Quantum Information</a><script data-card-contents-for-ri="2640" type="text/json">{"id":2640,"name":"Quantum Information","url":"https://www.academia.edu/Documents/in/Quantum_Information?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=75296141]'), work: {"id":75296141,"title":"Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer","created_at":"2022-04-03T02:34:57.147-07:00","url":"https://www.academia.edu/75296141/Multi_Particle_Interference_in_an_Electronic_Mach_Zehnder_Interferometer?f_ri=99372","dom_id":"work_75296141","summary":"The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the dif...","downloadable_attachments":[{"id":83121796,"asset_id":75296141,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":2866697,"first_name":"Mykhailo","last_name":"Moskalets","domain_name":"nonlinearphotonics","page_name":"MykhailoMoskalets","display_name":"Mykhailo Moskalets","profile_url":"https://nonlinearphotonics.academia.edu/MykhailoMoskalets?f_ri=99372","photo":"https://0.academia-photos.com/2866697/945397/76814122/s65_michael.moskalets.jpg"}],"research_interests":[{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=99372","nofollow":true},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=99372","nofollow":true},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true},{"id":2640,"name":"Quantum Information","url":"https://www.academia.edu/Documents/in/Quantum_Information?f_ri=99372","nofollow":true},{"id":32377,"name":"Mesoscopic Physics","url":"https://www.academia.edu/Documents/in/Mesoscopic_Physics?f_ri=99372"},{"id":36265,"name":"Entropy","url":"https://www.academia.edu/Documents/in/Entropy?f_ri=99372"},{"id":58143,"name":"Interferometry","url":"https://www.academia.edu/Documents/in/Interferometry?f_ri=99372"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=99372"},{"id":99372,"name":"Theoretical Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Condensed_Matter_Physics?f_ri=99372"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=99372"},{"id":640939,"name":"Mach-zehnder Interferometer","url":"https://www.academia.edu/Documents/in/Mach-zehnder_Interferometer?f_ri=99372"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_53398119" data-work_id="53398119" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/53398119/Workshop_Report_Efficient_localised_orbitals_for_large_systems_strong_correlations_and_excitations_Cambridge_July_2012">Workshop Report: "Efficient localised orbitals for large systems, strong correlations and excitations", Cambridge, July 2012</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In parallel with continuing progress in linear-scaling methods relying on optimised, localised orbitals, recent developments have established the potential for efficient use of such functions in diverse areas including quantum transport,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_53398119" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In parallel with continuing progress in linear-scaling methods relying on optimised, localised orbitals, recent developments have established the potential for efficient use of such functions in diverse areas including quantum transport, correlated systems and electronic excitations. This workshop brought together expertise in these topics to clarify the state of the art in optimisation and localisation procedures, and to focus efforts in the development of optimised local orbitals for advanced electronic structure methods.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/53398119" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="2d3d6216a1a564b21351e5207a0f4762" rel="nofollow" data-download="{"attachment_id":70261714,"asset_id":53398119,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/70261714/download_file?st=MTc0MDYwMzY2Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="41786273" href="https://independent.academia.edu/SimonDubois">Simon Dubois</a><script data-card-contents-for-user="41786273" type="text/json">{"id":41786273,"first_name":"Simon","last_name":"Dubois","domain_name":"independent","page_name":"SimonDubois","display_name":"Simon Dubois","profile_url":"https://independent.academia.edu/SimonDubois?f_ri=99372","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_53398119 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="53398119"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 53398119, container: ".js-paper-rank-work_53398119", }); });</script></li><li class="js-percentile-work_53398119 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 53398119; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_53398119"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_53398119 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="53398119"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 53398119; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=53398119]").text(description); $(".js-view-count-work_53398119").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_53398119").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="53398119"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="504" rel="nofollow" href="https://www.academia.edu/Documents/in/Computational_Physics">Computational Physics</a>, <script data-card-contents-for-ri="504" type="text/json">{"id":504,"name":"Computational Physics","url":"https://www.academia.edu/Documents/in/Computational_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="518" rel="nofollow" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="528" rel="nofollow" href="https://www.academia.edu/Documents/in/Computational_Chemistry">Computational Chemistry</a>, <script data-card-contents-for-ri="528" type="text/json">{"id":528,"name":"Computational Chemistry","url":"https://www.academia.edu/Documents/in/Computational_Chemistry?f_ri=99372","nofollow":true}</script><a class="InlineList-item-text" data-has-card-for-ri="30131" rel="nofollow" href="https://www.academia.edu/Documents/in/Time-dependent_density_functional_theory">Time-dependent density functional theory</a><script data-card-contents-for-ri="30131" type="text/json">{"id":30131,"name":"Time-dependent density functional theory","url":"https://www.academia.edu/Documents/in/Time-dependent_density_functional_theory?f_ri=99372","nofollow":true}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=53398119]'), work: {"id":53398119,"title":"Workshop Report: \"Efficient localised orbitals for large systems, strong correlations and excitations\", Cambridge, July 2012","created_at":"2021-09-26T10:39:57.802-07:00","url":"https://www.academia.edu/53398119/Workshop_Report_Efficient_localised_orbitals_for_large_systems_strong_correlations_and_excitations_Cambridge_July_2012?f_ri=99372","dom_id":"work_53398119","summary":"In parallel with continuing progress in linear-scaling methods relying on optimised, localised orbitals, recent developments have established the potential for efficient use of such functions in diverse areas including quantum transport, correlated systems and electronic excitations. 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