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(PDF) Spin waves in random ferromagnets

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A nearest- neighbor Heisenberg Hamiltonian is assumed, The linear spin-wave approximation is made. However, the disorder is treated exactly by use" /> <meta name="twitter:image" content="http://a.academia-assets.com/images/twitter-card.jpeg" /> <meta property="fb:app_id" content="2369844204" /> <meta property="og:type" content="article" /> <meta property="og:url" content="https://www.academia.edu/126959397/Spin_waves_in_random_ferromagnets" /> <meta property="og:title" content="Spin waves in random ferromagnets" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="%&amp;#39;e consider the low-temperature spin dynamics of substitutionally disordered ferromagnetic alloys. A nearest- neighbor Heisenberg Hamiltonian is assumed, The linear spin-wave approximation is made. However, the disorder is treated exactly by use" /> <meta property="article:author" content="https://huji.academia.edu/ScottKirkpatrick" /> <meta name="description" content="%&amp;#39;e consider the low-temperature spin dynamics of substitutionally disordered ferromagnetic alloys. A nearest- neighbor Heisenberg Hamiltonian is assumed, The linear spin-wave approximation is made. 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window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":126959397,"created_at":"2025-01-11T06:32:36.468-08:00","from_world_paper_id":262537260,"updated_at":"2025-01-24T02:34:19.211-08:00","_data":{"publisher":"American Physical Society (APS)","grobid_abstract":"%'e consider the low-temperature spin dynamics of substitutionally disordered ferromagnetic alloys. A nearest- neighbor Heisenberg Hamiltonian is assumed, The linear spin-wave approximation is made. However, the disorder is treated exactly by use of a computer-simulation technique which works for very large finite models. Densities of states, partial densities of states, and the scattering law are presented for spins diluted with nonmagnetic atoms and for mixtures of atoms having different exchange couplings. %'e give detailed results for the simple cubic lattice as well as representative cases of body-centered-and face-centered-cubic lattices. The over-all behavior is discussed in terms of the development of bands of excitations associated with each constituent as the concentrations are varied from the impurity limits. %e also compare our calculations with analytical approximations based on effective-medium theory and on exact moments.","publication_date":"1977,,","publication_name":"Physical Review B","grobid_abstract_attachment_id":"120762018"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"low","language":"en","title":"Spin waves in random ferromagnets","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [32298185]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;swp-splash-paper-cover&quot;,&quot;attachmentId&quot;:120762018,&quot;attachmentType&quot;:&quot;pdf&quot;}"><img alt="First page of “Spin waves in random ferromagnets”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/120762018/mini_magick20250111-1-y8lidp.png?1736606022" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/images/single_work_splash/adobe_icon.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Spin waves in random ferromagnets</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="32298185" href="https://huji.academia.edu/ScottKirkpatrick"><img alt="Profile image of Scott Kirkpatrick" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />Scott Kirkpatrick</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">1977, Physical Review B</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 126959397; const worksViewsPath = "/v0/works/views?subdomain_param=api&amp;work_ids%5B%5D=126959397"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); const updateViewCount = (viewCount) => { try { const viewCountNumber = parseInt(viewCount, 10); if (viewCountNumber === 0) { // Remove the whole views element if there are zero views. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); return; } const commaizedViewCount = viewCountNumber.toLocaleString(); const viewCountBody = document.getElementById('work-metadata-view-count'); if (!viewCountBody) { throw new Error('Failed to find work views element'); } viewCountBody.textContent = `${commaizedViewCount} views`; } catch (error) { // Remove the whole views element if there was some issue parsing. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">%&#39;e consider the low-temperature spin dynamics of substitutionally disordered ferromagnetic alloys. A nearest- neighbor Heisenberg Hamiltonian is assumed, The linear spin-wave approximation is made. However, the disorder is treated exactly by use of a computer-simulation technique which works for very large finite models. Densities of states, partial densities of states, and the scattering law are presented for spins diluted with nonmagnetic atoms and for mixtures of atoms having different exchange couplings. %&#39;e give detailed results for the simple cubic lattice as well as representative cases of body-centered-and face-centered-cubic lattices. The over-all behavior is discussed in terms of the development of bands of excitations associated with each constituent as the concentrations are varied from the impurity limits. %e also compare our calculations with analytical approximations based on effective-medium theory and on exact moments.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;continue-reading-button--work-card&quot;,&quot;attachmentId&quot;:120762018,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:&quot;https://www.academia.edu/126959397/Spin_waves_in_random_ferromagnets&quot;}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;download-pdf-button--work-card&quot;,&quot;attachmentId&quot;:120762018,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:&quot;https://www.academia.edu/126959397/Spin_waves_in_random_ferromagnets&quot;}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas" data-impression-entity-id="126959397" data-impression-entity-type="2" data-impression-source="signup-banner"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;signup-banner&quot;}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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Plascak</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physica B: Condensed Matter, 2002</p><p class="ds-related-work--abstract ds2-5-body-sm">In this work we present a theoretical study of the magnetic behavior of disordered Fe-Al alloys on the basis of a simple-diluted quantum Heisenberg spin model with the assumption that the exchange interaction J depends on the Al concentration q: We calculated the critical temperature and exponents through the mean field renormalization group method. An acceptable fit to the experimental phase diagram for Al concentration in the range 0:30pqp0:45 is obtained. r</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Site-diluted quantum Heisenberg spin model applied to the magnetic properties of Fe–Al disordered alloys&quot;,&quot;attachmentId&quot;:42775415,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/22106494/Site_diluted_quantum_Heisenberg_spin_model_applied_to_the_magnetic_properties_of_Fe_Al_disordered_alloys&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/22106494/Site_diluted_quantum_Heisenberg_spin_model_applied_to_the_magnetic_properties_of_Fe_Al_disordered_alloys"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="116948798" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/116948798/Delocalization_and_spin_wave_dynamics_in_ferromagnetic_chains_with_long_range_correlated_random_exchange">Delocalization and spin-wave dynamics in ferromagnetic chains with long-range correlated random exchange</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="38594003" href="https://independent.academia.edu/MauricioDCoutinhoFilho">Mauricio D. Coutinho-Filho</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2002</p><p class="ds-related-work--abstract ds2-5-body-sm">We study the one-dimensional quantum Heisenberg ferromagnet with exchange couplings exhibiting long-range correlated disorder with power spectrum proportional to 1/k α , where k is the wave-vector of the modulations on the random coupling landscape. By using renormalization group, integration of the equations of motion and exact diagonalization, we compute the spin-wave localization length and the mean-square displacement of the wave-packet. We find that, associated with the emergence of extended spin-waves in the low-energy region for α &gt; 1, the wave-packet mean-square displacement changes from a long-time super-diffusive behavior for α &lt; 1 to a long-time ballistic behavior for α &gt; 1. At the vicinity of α = 1, the mobility edge separating the extended and localized phases is shown to scale with the degree of correlation as Ec ∝ (α − 1) 1/3 .</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Delocalization and spin-wave dynamics in ferromagnetic chains with long-range correlated random exchange&quot;,&quot;attachmentId&quot;:112981682,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/116948798/Delocalization_and_spin_wave_dynamics_in_ferromagnetic_chains_with_long_range_correlated_random_exchange&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/116948798/Delocalization_and_spin_wave_dynamics_in_ferromagnetic_chains_with_long_range_correlated_random_exchange"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="112281036" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/112281036/Spin_density_fluctuations_and_the_fluctuation_dissipation_theorem_in_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_mn_3_mml_mn_mml_mi_d_mml_mi_mml_mrow_mml_math_ferromagnetic_metals">Spin-density fluctuations and the fluctuation-dissipation theorem in &lt;mml:math xmlns:mml=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mml:mrow&gt;&lt;mml:mn&gt;3&lt;/mml:mn&gt;&lt;mml:mi&gt;d&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt; ferromagnetic metals</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="172144226" href="https://iastate.academia.edu/VladimirAntropov">Vladimir Antropov</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical review, 2017</p><p class="ds-related-work--abstract ds2-5-body-sm">Spatial and time scales of spin density fluctuations (SDF) were analyzed in 3d ferromagnets using ab initio linear response calculations of complete wavevector and energy dependence of the dynamic spin susceptibility tensor. We demonstrate that SDF are spread continuously over the entire Brillouin zone and while majority of them reside within the 3d bandwidth, a significant amount comes from much higher energies. A validity of the adiabatic approximation in spin dynamics is discussed. The SDF spectrum is shown to have two main constituents: a minor low-energy spin wave contribution and a much larger high-energy component from more localized excitations. Using the fluctuation-dissipation theorem (FDT), the on-site spin correlator (SC) and the related effective fluctuating moment were properly evaluated and their universal dependence on the 3d band population is further discussed.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Spin-density fluctuations and the fluctuation-dissipation theorem in \u003cmml:math xmlns:mml=\&quot;http://www.w3.org/1998/Math/MathML\&quot;\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e3\u003c/mml:mn\u003e\u003cmml:mi\u003ed\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003e ferromagnetic metals&quot;,&quot;attachmentId&quot;:109559184,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/112281036/Spin_density_fluctuations_and_the_fluctuation_dissipation_theorem_in_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_mn_3_mml_mn_mml_mi_d_mml_mi_mml_mrow_mml_math_ferromagnetic_metals&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/112281036/Spin_density_fluctuations_and_the_fluctuation_dissipation_theorem_in_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_mn_3_mml_mn_mml_mi_d_mml_mi_mml_mrow_mml_math_ferromagnetic_metals"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="86889118" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/86889118/Spin_spirals_in_ordered_and_disordered_solids">Spin spirals in ordered and disordered solids</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="55021000" href="https://independent.academia.edu/SMankovsky">S. Mankovsky</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><p class="ds-related-work--abstract ds2-5-body-sm">A scheme to calculate the electronic structure of systems having a spiral magnetic structure is presented. The approach is based on the KKR (Korringa-Kohn-Rostoker) Green’s function formalism which allows in combination with CPA (Coherent Potential Approximation) alloy theory to deal with chemically disordered materials. It is applied to the magnetic random alloys FexNi1−x, FexCo1−x and FexMn1−x. For these systems the stability of their magnetic structure was analyzed. For FexNi1−x the spin stiffness for was determined as a function of concentration that was found in satisfying agreement with experiment. Performing spin spiral calculations the longitudinal momentum-dependent magnetic susceptibility was calculated for pure elemental systems (Cr, Ni) being in non-magnetic state as well as for random alloys (AgxPt1−x). The obtained susceptibility was used to analyze the stability of the paramagnetic state of these systems.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Spin spirals in ordered and disordered solids&quot;,&quot;attachmentId&quot;:91243262,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/86889118/Spin_spirals_in_ordered_and_disordered_solids&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/86889118/Spin_spirals_in_ordered_and_disordered_solids"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="74279509" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/74279509/Spin_Wave_Relaxation_in_Ferromagnetic_Alloys">Spin‐Wave Relaxation in Ferromagnetic Alloys</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="41570319" href="https://independent.academia.edu/KoganEugene">Eugene Kogan</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1980</p><p class="ds-related-work--abstract ds2-5-body-sm">The relaxation width of ferromagnetic and spin-wave resonance lines in disordered alloys is investigated. Long-wave spin waves are obtained in this system using simplest approximations (based on averaging over a physically small volume). The relaxation of these spin waves is due to the absorption of magnons by conduction electrons. The presence of disorder in the system leads to the non-conservation of the total quasi-momentum in these processes, thus making them effective, in contrast to ordered metals and alloys. The linewidth obtained, A B, is proportional to the resonance frequency and residual resistivity, and inversely proportional t o the saturation magnetization. Both the linewidth and its dependence on the parameters are in good agrecment with experiment. I/ICCJIeAyeTCR peJlaHCaUHOHHaJ3 luHpHHa XHHHH l#eppOMarHHTHOrO H CIIHH-BOXHOBOF0 pe3OHaIlCOB B HeyIlOpRAOqeHHOM CIIJIaBe. B IIpOCTeihllHX IIpH6JIHXeHHRX (Ha OCIIOBe yCpeA-HeHHJ3 I10 4lEI3EIYeCKH MaJIOMy 0 6 x e~y) IIOJly&#39;feHLI AJlHHHOBOJlHOBbIe ClIllHOBbIe BOJIHbI R TaHOfi CHCTeMe. PeJIaHCaUHR BTHX CIIHHOBbIX BOJIH 06yCJIOB,iIeHa IIOrXOlIIeHHeM Mar HOHOB</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Spin‐Wave Relaxation in Ferromagnetic Alloys&quot;,&quot;attachmentId&quot;:82539871,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/74279509/Spin_Wave_Relaxation_in_Ferromagnetic_Alloys&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/74279509/Spin_Wave_Relaxation_in_Ferromagnetic_Alloys"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="20239703" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/20239703/Free_magnetic_moments_in_disordered_metals">Free magnetic moments in disordered metals</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="40368081" href="https://constructor.academia.edu/StefanKettemann">Stefan Kettemann</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Experimental and Theoretical Physics Letters, 2006</p><p class="ds-related-work--abstract ds2-5-body-sm">The screening of magnetic moments in metals, the Kondo effect, is found to be quenched with a finite probability in the presence of nonmagnetic disorder. Numerical results for a disordered electron system show that the distribution of Kondo temperatures deviates strongly from the result expected from random matrix theory. A pronounced second peak emerges for small Kondo temperatures, showing that the probability that magnetic moments remain unscreened at low temperatures increases with disorder. Analytical calculations, taking into account correlations between eigenfunction intensities yield a finite width for the distribution in the thermodynamic limit. Experimental consequences for disordered mesoscopic metals are discussed. PACS: 72.10.Fk, 72.15.Qm, 75.20.Hr, 72.15.Rn In a metal with antiferromagnetic exchange interaction between a local magnetic moment and the conduction electrons, correlations cause a change in the Fermi liquid ground state. The screening of the localized spin by the formation of a Kondo singlet below the Kondo temperature, T K , is affected by disorder in various ways. Fluctuations in the exchange coupling due to random positioning of magnetic moments results in a dispersion of T K [1]. Since T K is defined by an integral equation similar to the BCS equation for the critical temperature of a superconductor, one could expect, by analogy, the Anderson theorem [2] to be valid. In that case, the leading correction to T K would be of order T</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Free magnetic moments in disordered metals&quot;,&quot;attachmentId&quot;:41226613,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/20239703/Free_magnetic_moments_in_disordered_metals&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/20239703/Free_magnetic_moments_in_disordered_metals"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="105294281" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/105294281/Disordered_Electronic_Models_and_Impurity_Spin_Dynamics_I_Ferromagnetic_Ensemble_and_Mott_Transition_in_an_Exactly_Solved_Limit">Disordered Electronic Models and Impurity Spin Dynamics. I: Ferromagnetic Ensemble and Mott Transition in an Exactly Solved Limit</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="257297767" href="https://independent.academia.edu/ReinholdOppermann">Reinhold Oppermann</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Progress of Theoretical Physics, 1982</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Disordered Electronic Models and Impurity Spin Dynamics. I: Ferromagnetic Ensemble and Mott Transition in an Exactly Solved Limit&quot;,&quot;attachmentId&quot;:104787300,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/105294281/Disordered_Electronic_Models_and_Impurity_Spin_Dynamics_I_Ferromagnetic_Ensemble_and_Mott_Transition_in_an_Exactly_Solved_Limit&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/105294281/Disordered_Electronic_Models_and_Impurity_Spin_Dynamics_I_Ferromagnetic_Ensemble_and_Mott_Transition_in_an_Exactly_Solved_Limit"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="121941302" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/121941302/Spin_Waves_in_the_Dilute_Heisenberg_Ferromagnet">Spin Waves in the Dilute Heisenberg Ferromagnet</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="49668957" href="https://independent.academia.edu/HarrisBrooks">Brooks Harris</a></div><p class="ds-related-work--metadata ds2-5-body-xs">AIP Conference Proceedings, 1972</p><p class="ds-related-work--abstract ds2-5-body-sm">The energy of long wave length spin waves in dilute Heisenberg ferromagnets is calculated. It is shown that spin waves can exist only within an infinite cluster of magnetic spins and that such spin waves are mechanically stable. Heuristic arguments based on dimensionality of the infinite cluster imply that there is no thermal instability of the type discussed by Mermin and Wagner. Thus, the critical concentration for ferromagnetism is essentially equal to percolation concentration.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Spin Waves in the Dilute Heisenberg Ferromagnet&quot;,&quot;attachmentId&quot;:116705786,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/121941302/Spin_Waves_in_the_Dilute_Heisenberg_Ferromagnet&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/121941302/Spin_Waves_in_the_Dilute_Heisenberg_Ferromagnet"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="7046931" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/7046931/Magnetism_of_Fe_Al_disordered_alloys_An_Ising_Monte_Carlo_approach">Magnetism of Fe–Al disordered alloys: An Ising–Monte Carlo approach</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12038784" href="https://independent.academia.edu/JohanRestrepo">Johan Restrepo</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2001</p><p class="ds-related-work--abstract ds2-5-body-sm">Using a model of atoms randomly distributed on a cubic lattice, we have simulated the atomic disorder induced in quenched binary alloys. Our study has been developed within the framework of a random site-diluted Ising model with nearest-neighbor interactions and used a Monte Carlo algorithm implemented with Metropolis kinetics for sampling states. After equilibration, ensemble and configurational averages for magnetization, magnetic susceptibility, and heat capacity were computed. We conclude that, in agreement with previous experimental Mössbauer data for which a comparison is carried out, Fe-Al disordered alloys exhibit room-temperature ferromagnetic behavior up to around 43 at. % Al, beyond which the system becomes paramagnetic. This result contrasts with that for alloys with atomic order, which exhibit ferromagnetism only up to 30 at. % Al.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Magnetism of Fe–Al disordered alloys: An Ising–Monte Carlo approach&quot;,&quot;attachmentId&quot;:48620319,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/7046931/Magnetism_of_Fe_Al_disordered_alloys_An_Ising_Monte_Carlo_approach&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/7046931/Magnetism_of_Fe_Al_disordered_alloys_An_Ising_Monte_Carlo_approach"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="63181530" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/63181530/Diffusion_in_disordered_lattices_and_related_Heisenberg_ferromagnets">Diffusion in disordered lattices and related Heisenberg ferromagnets</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="50997507" href="https://independent.academia.edu/RobinStinchcombe">Robin Stinchcombe</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2000</p><p class="ds-related-work--abstract ds2-5-body-sm">We study the diffusion of classical hard-core particles in disordered lattices within the formalism of a quantum spin representation. This analogy enables an exact treatment of non-instantaneous correlation functions at finite particle densities in terms of single spin excitations in disordered ferromagnetic backgrounds. Applications to diluted chains and percolation clusters are discussed. It is found that density fluctuations in the former exhibit a stretched exponential decay while an anomalous power law asymptotic decay is conjectured for the latter.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Diffusion in disordered lattices and related Heisenberg ferromagnets&quot;,&quot;attachmentId&quot;:75689851,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/63181530/Diffusion_in_disordered_lattices_and_related_Heisenberg_ferromagnets&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/63181530/Diffusion_in_disordered_lattices_and_related_Heisenberg_ferromagnets"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;continue-reading-button--sticky-ctas&quot;,&quot;attachmentId&quot;:120762018,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;download-pdf-button--sticky-ctas&quot;,&quot;attachmentId&quot;:120762018,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;workUrl&quot;:null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_120762018" style="display: none"><div class="scribd--being-converted-container">This document is currently being converted. 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ds2-5-body-xs">Physical Review B, 2008</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Large-scale simulation of the spin-lattice dynamics in ferromagnetic iron&quot;,&quot;attachmentId&quot;:42325755,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/18625826/Large_scale_simulation_of_the_spin_lattice_dynamics_in_ferromagnetic_iron&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/18625826/Large_scale_simulation_of_the_spin_lattice_dynamics_in_ferromagnetic_iron"><span 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1987</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Local spin density functional approach to the theory of exchange interactions in ferromagnetic metals and alloys&quot;,&quot;attachmentId&quot;:96915619,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/94468041/Local_spin_density_functional_approach_to_the_theory_of_exchange_interactions_in_ferromagnetic_metals_and_alloys&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" 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href="https://independent.academia.edu/MonaBerciu">Mona Berciu</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;Exchange anisotropy, disorder, and frustration in diluted, predominantly ferromagnetic, Heisenberg spin systems&quot;,&quot;attachmentId&quot;:40619897,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/19438371/Exchange_anisotropy_disorder_and_frustration_in_diluted_predominantly_ferromagnetic_Heisenberg_spin_systems&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/19438371/Exchange_anisotropy_disorder_and_frustration_in_diluted_predominantly_ferromagnetic_Heisenberg_spin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="5" data-entity-id="62811753" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/62811753/_Fe_Sn_4N_alloy_as_a_model_spin_glass_system_with_short_range_competing_interactions_on_a_nonfrustrated_simple_cubic_lattice">(Fe,Sn)4N alloy as a model spin-glass system with short-range competing interactions on a nonfrustrated simple cubic lattice</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="207704014" href="https://independent.academia.edu/PMohn">Peter Mohn</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{&quot;location&quot;:&quot;wsj-grid-card-download-pdf-modal&quot;,&quot;work_title&quot;:&quot;(Fe,Sn)4N alloy as a model spin-glass system with short-range competing interactions on a nonfrustrated simple cubic lattice&quot;,&quot;attachmentId&quot;:75460806,&quot;attachmentType&quot;:&quot;pdf&quot;,&quot;work_url&quot;:&quot;https://www.academia.edu/62811753/_Fe_Sn_4N_alloy_as_a_model_spin_glass_system_with_short_range_competing_interactions_on_a_nonfrustrated_simple_cubic_lattice&quot;,&quot;alternativeTracking&quot;:true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span 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data-author-id="39470377" href="https://independent.academia.edu/ShullR">R. 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