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</div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1805.10245">arXiv:1805.10245</a> <span> [<a href="https://arxiv.org/pdf/1805.10245">pdf</a>, <a href="https://arxiv.org/format/1805.10245">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1367-2630/aae576">10.1088/1367-2630/aae576 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Quasiclassical theory of the spin-orbit magnetoresistance of three-dimensional Rashba metals </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=T%C3%B6lle%2C+S">Sebastian T枚lle</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a>, <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">Cosimo Gorini</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1805.10245v1-abstract-short" style="display: inline;"> The magnetoresistance of a three-dimensional Rashba material placed on top of a ferromagnetic insulator is theoretically investigated. In addition to the intrinsic Rashba spin-orbit interaction, we also consider extrinsic spin-orbit coupling via side-jump and skew scattering, and the Elliott-Yafet spin relaxation mechanism. The latter is anisotropic due to the mass anisotropy which reflects the no… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1805.10245v1-abstract-full').style.display = 'inline'; document.getElementById('1805.10245v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1805.10245v1-abstract-full" style="display: none;"> The magnetoresistance of a three-dimensional Rashba material placed on top of a ferromagnetic insulator is theoretically investigated. In addition to the intrinsic Rashba spin-orbit interaction, we also consider extrinsic spin-orbit coupling via side-jump and skew scattering, and the Elliott-Yafet spin relaxation mechanism. The latter is anisotropic due to the mass anisotropy which reflects the noncentrosymmetric crystal structure of three-dimensional Rashba metals. A quasiclassical approach is employed to derive a set of coupled spin-diffusion equations, which are supplemented by boundary conditions that account for the spin-transfer torque at the interface of the bilayer. The magnetoresistance is fully determined by the current-induced spin polarization, i.e., it cannot in general be ascribed to a single (bulk) spin Hall angle. Our theoretical results reproduce several features of the experiments, at least qualitatively, and contain established phenomenological results in the relevant limiting cases. In particular, the anisotropy of the Elliott-Yafet spin relaxation mechanism plays a major role for the interpretation of the observed magnetoresistance. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1805.10245v1-abstract-full').style.display = 'none'; document.getElementById('1805.10245v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 May, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages (preprint style), 3 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> New J. Phys. 20, 103024 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1708.03165">arXiv:1708.03165</a> <span> [<a href="https://arxiv.org/pdf/1708.03165">pdf</a>, <a href="https://arxiv.org/format/1708.03165">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1002/andp.201700303">10.1002/andp.201700303 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Spin Hall magnetoresistance and spin Nernst magnetothermopower: role of the inverse spin galvanic effect </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=T%C3%B6lle%2C+S">Sebastian T枚lle</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a>, <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">Cosimo Gorini</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1708.03165v1-abstract-short" style="display: inline;"> In ferromagnet/normal-metal bilayers, the sensitivity of the spin Hall magnetoresistance and the spin Nernst magnetothermopower to the boundary conditions at the interface is of central importance. In general, such boundary conditions can be substantially affected by current-induced spin polarizations. In order to quantify the role of the latter, we consider a Rashba two-dimensional electron gas w… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1708.03165v1-abstract-full').style.display = 'inline'; document.getElementById('1708.03165v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1708.03165v1-abstract-full" style="display: none;"> In ferromagnet/normal-metal bilayers, the sensitivity of the spin Hall magnetoresistance and the spin Nernst magnetothermopower to the boundary conditions at the interface is of central importance. In general, such boundary conditions can be substantially affected by current-induced spin polarizations. In order to quantify the role of the latter, we consider a Rashba two-dimensional electron gas with a ferromagnet attached to one side of the system. The geometry of such a system maximizes the effect of current-induced spin polarization on the boundary conditions, and the spin Hall magnetoresistance is shown to acquire a non-trivial and asymmetric dependence on the magnetization direction of the ferromagnet. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1708.03165v1-abstract-full').style.display = 'none'; document.getElementById('1708.03165v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 August, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages, 7 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Ann. Phys. (Berlin) 530, 1700303 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1610.02974">arXiv:1610.02974</a> <span> [<a href="https://arxiv.org/pdf/1610.02974">pdf</a>, <a href="https://arxiv.org/format/1610.02974">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1361-648X/aa5140">10.1088/1361-648X/aa5140 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Implementation of transmission functions for an optimized three-terminal quantum dot heat engine </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schiegg%2C+C+H">Christian H. Schiegg</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1610.02974v2-abstract-short" style="display: inline;"> We consider two modifications of a recently proposed three-terminal quantum dot heat engine. First, we investigate the necessity of the thermalization assumption, namely that electrons are always thermalized by inelastic processes when traveling across the cavity where the heat is supplied. Second, we analyze various arrangements of tunneling-coupled quantum dots in order to implement a transmissi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.02974v2-abstract-full').style.display = 'inline'; document.getElementById('1610.02974v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1610.02974v2-abstract-full" style="display: none;"> We consider two modifications of a recently proposed three-terminal quantum dot heat engine. First, we investigate the necessity of the thermalization assumption, namely that electrons are always thermalized by inelastic processes when traveling across the cavity where the heat is supplied. Second, we analyze various arrangements of tunneling-coupled quantum dots in order to implement a transmission function that is superior to the Lorentzian transmission function of a single quantum dot. We show that the maximum power of the heat engine can be improved by about a factor of two, even for a small number of dots, by choosing an optimal structure. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.02974v2-abstract-full').style.display = 'none'; document.getElementById('1610.02974v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 10 October, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 12 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys.: Condens. Matter 29, 085303 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1506.07360">arXiv:1506.07360</a> <span> [<a href="https://arxiv.org/pdf/1506.07360">pdf</a>, <a href="https://arxiv.org/format/1506.07360">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1367-2630/17/8/083060">10.1088/1367-2630/17/8/083060 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schiegg%2C+C">Christian Schiegg</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1506.07360v1-abstract-short" style="display: inline;"> The finite-temperature transport properties of the spinless interacting fermion model coupled to non-interacting leads are investigated. Employing the unrestricted time-dependent Hartree-Fock (HF) approximation, the transmission probability and the non-linear $I$-$V$ characteristics are calculated, and compared with available analytical results and with numerical data obtained from a Hubbard-Strat… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1506.07360v1-abstract-full').style.display = 'inline'; document.getElementById('1506.07360v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1506.07360v1-abstract-full" style="display: none;"> The finite-temperature transport properties of the spinless interacting fermion model coupled to non-interacting leads are investigated. Employing the unrestricted time-dependent Hartree-Fock (HF) approximation, the transmission probability and the non-linear $I$-$V$ characteristics are calculated, and compared with available analytical results and with numerical data obtained from a Hubbard-Stratonovich decoupling of the interaction. In the weak interaction regime, the HF approximation reproduces the gross features of the exact $I$-$V$ characteristics but fails to account for subtle properties like the particular power law for the reflected current in the interacting resonant level model. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1506.07360v1-abstract-full').style.display = 'none'; document.getElementById('1506.07360v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 24 June, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 8 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> New J. Phys. 17, 083060 (2015) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1205.4854">arXiv:1205.4854</a> <span> [<a href="https://arxiv.org/pdf/1205.4854">pdf</a>, <a href="https://arxiv.org/format/1205.4854">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1039/C3CP44639E">10.1039/C3CP44639E <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Exact time-dependent density functional theory for impurity models </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schmitteckert%2C+P">Peter Schmitteckert</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1205.4854v1-abstract-short" style="display: inline;"> We employ the density matrix renormalization group to construct the exact time-dependent exchange correlation potential for an impurity model with an applied transport voltage. Even for short-ranged interaction we find an infinitely long-ranged exchange correlation potential which is built up {instantly} after switching on the voltage. Our result demonstrates the fundamental difficulties of transp… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1205.4854v1-abstract-full').style.display = 'inline'; document.getElementById('1205.4854v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1205.4854v1-abstract-full" style="display: none;"> We employ the density matrix renormalization group to construct the exact time-dependent exchange correlation potential for an impurity model with an applied transport voltage. Even for short-ranged interaction we find an infinitely long-ranged exchange correlation potential which is built up {instantly} after switching on the voltage. Our result demonstrates the fundamental difficulties of transport calculations based on time-dependent density functional theory. While formally the approach works, important information can be missing in the ground-state functionals and may be hidden in the usually unknown non-equilibrium functionals. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1205.4854v1-abstract-full').style.display = 'none'; document.getElementById('1205.4854v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 May, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2012. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1107.0827">arXiv:1107.0827</a> <span> [<a href="https://arxiv.org/pdf/1107.0827">pdf</a>, <a href="https://arxiv.org/format/1107.0827">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.85.155403">10.1103/PhysRevB.85.155403 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Landau levels in a topological insulator </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1107.0827v1-abstract-short" style="display: inline;"> Two recent experiments successfully observed Landau levels in the tunneling spectra of the topological insulator Bi2Se3. To mimic the influence of a scanning tunneling microscope tip on the Landau levels we solve the two-dimensional Dirac equation in the presence of a localized electrostatic potential. We find that the STM tip not only shifts the Landau levels, but also suppresses for a realistic… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1107.0827v1-abstract-full').style.display = 'inline'; document.getElementById('1107.0827v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1107.0827v1-abstract-full" style="display: none;"> Two recent experiments successfully observed Landau levels in the tunneling spectra of the topological insulator Bi2Se3. To mimic the influence of a scanning tunneling microscope tip on the Landau levels we solve the two-dimensional Dirac equation in the presence of a localized electrostatic potential. We find that the STM tip not only shifts the Landau levels, but also suppresses for a realistic choice of parameters the negative branch of Landau levels. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1107.0827v1-abstract-full').style.display = 'none'; document.getElementById('1107.0827v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 July, 2011; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2011. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1009.3416">arXiv:1009.3416</a> <span> [<a href="https://arxiv.org/pdf/1009.3416">pdf</a>, <a href="https://arxiv.org/format/1009.3416">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.83.115128">10.1103/PhysRevB.83.115128 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Density functional theory for a model quantum dot: Beyond the local-density approximation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schenk%2C+S">S. Schenk</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">U. Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1009.3416v1-abstract-short" style="display: inline;"> We study both static and transport properties of model quantum dots, employing density functional theory as well as (numerically) exact methods. For the lattice model under consideration the accuracy of the local-density approximation generally is poor. For weak interaction, however, accurate results are achieved within the optimized effective potential method, while for intermediate interaction s… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1009.3416v1-abstract-full').style.display = 'inline'; document.getElementById('1009.3416v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1009.3416v1-abstract-full" style="display: none;"> We study both static and transport properties of model quantum dots, employing density functional theory as well as (numerically) exact methods. For the lattice model under consideration the accuracy of the local-density approximation generally is poor. For weak interaction, however, accurate results are achieved within the optimized effective potential method, while for intermediate interaction strengths a method combining the exact diagonalization of small clusters with density functional theory is very successful. Results obtained from the latter approach yield very good agreement with density matrix renormalization group studies, where the full Hamiltonian consisting of the dot and the attached leads has to be diagonalized. Furthermore we address the question whether static density functional theory is able to predict the exact linear conductance through the dot correctly - with, in general, negative answer. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1009.3416v1-abstract-full').style.display = 'none'; document.getElementById('1009.3416v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 September, 2010; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2010. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 83, 115128 (2011) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0809.2175">arXiv:0809.2175</a> <span> [<a href="https://arxiv.org/pdf/0809.2175">pdf</a>, <a href="https://arxiv.org/ps/0809.2175">ps</a>, <a href="https://arxiv.org/format/0809.2175">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1002/pssb.200881554">10.1002/pssb.200881554 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Current Density Functional Theory for one-dimensional fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a>, <a href="/search/cond-mat?searchtype=author&query=Schenk%2C+S">Stefan Schenk</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0809.2175v1-abstract-short" style="display: inline;"> The frequency-dependent response of a one-dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT-LDA, and in particular CDFT-LDA, reproduces very well the dispersion of the collective excitations. Unsurprisingly, however, the approximation fails for details of the dynamic response for large wavevectors. In particular, w… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0809.2175v1-abstract-full').style.display = 'inline'; document.getElementById('0809.2175v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0809.2175v1-abstract-full" style="display: none;"> The frequency-dependent response of a one-dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT-LDA, and in particular CDFT-LDA, reproduces very well the dispersion of the collective excitations. Unsurprisingly, however, the approximation fails for details of the dynamic response for large wavevectors. In particular, we introduce CDFT for the one-dimensional spinless fermion model with nearest-neighbor interaction, and use CDFT-LDA plus exact (Bethe ansatz) results for the groundstate energy as function of particle density and boundary phase to determine the linear response. The successes and failures of this approach are discussed in detail. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0809.2175v1-abstract-full').style.display = 'none'; document.getElementById('0809.2175v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 September, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Status Solidi B 246, 941 (2009) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0805.2346">arXiv:0805.2346</a> <span> [<a href="https://arxiv.org/pdf/0805.2346">pdf</a>, <a href="https://arxiv.org/ps/0805.2346">ps</a>, <a href="https://arxiv.org/format/0805.2346">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Disordered Systems and Neural Networks">cond-mat.dis-nn</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.78.125327">10.1103/PhysRevB.78.125327 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Spin polarizations and spin Hall currents in a two-dimensional electron gas with magnetic impurities </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">C. Gorini</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Raimondi%2C+R">R. Raimondi</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0805.2346v2-abstract-short" style="display: inline;"> We consider a two-dimensional electron gas in the presence of Rashba spin-orbit coupling, and study the effects of magnetic s-wave impurities and long-range non-magnetic disorder on the spin-charge dynamics of the system. We focus on voltage induced spin polarizations and their relation to spin Hall currents. Our results are obtained using the quasiclassical Green function technique, and hold in… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0805.2346v2-abstract-full').style.display = 'inline'; document.getElementById('0805.2346v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0805.2346v2-abstract-full" style="display: none;"> We consider a two-dimensional electron gas in the presence of Rashba spin-orbit coupling, and study the effects of magnetic s-wave impurities and long-range non-magnetic disorder on the spin-charge dynamics of the system. We focus on voltage induced spin polarizations and their relation to spin Hall currents. Our results are obtained using the quasiclassical Green function technique, and hold in the full range of the disorder parameter $伪p_F蟿$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0805.2346v2-abstract-full').style.display = 'none'; document.getElementById('0805.2346v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 September, 2008; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 May, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 2 figures. References added, minor stylistic modifications</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 78, 125327 (2008) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0802.2490">arXiv:0802.2490</a> <span> [<a href="https://arxiv.org/pdf/0802.2490">pdf</a>, <a href="https://arxiv.org/ps/0802.2490">ps</a>, <a href="https://arxiv.org/format/0802.2490">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.78.165102">10.1103/PhysRevB.78.165102 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Successes and failures of Bethe Ansatz Density Functional Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schenk%2C+S">Stefan Schenk</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">Ulrich Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0802.2490v1-abstract-short" style="display: inline;"> The response of a one-dimensional fermion system is investigated using Density Functional Theory (DFT) within the Local Density Approximation (LDA), and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some of the characteristic features of the Luttinger liquid, namely the vanishing spectral weight of low energy particle-hole excitations, as well as the dispersi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0802.2490v1-abstract-full').style.display = 'inline'; document.getElementById('0802.2490v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0802.2490v1-abstract-full" style="display: none;"> The response of a one-dimensional fermion system is investigated using Density Functional Theory (DFT) within the Local Density Approximation (LDA), and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some of the characteristic features of the Luttinger liquid, namely the vanishing spectral weight of low energy particle-hole excitations, as well as the dispersion of the collective charge excitations. On the other hand, the approximation fails, even qualitatively, for quantities for which backscattering is important, i.e., those quantities which are crucial for an accurate description of transport. In particular, the Drude weight in the presence of a single impurity is discussed. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0802.2490v1-abstract-full').style.display = 'none'; document.getElementById('0802.2490v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 February, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 78, 165102 (2008). </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0707.3908">arXiv:0707.3908</a> <span> [<a href="https://arxiv.org/pdf/0707.3908">pdf</a>, <a href="https://arxiv.org/ps/0707.3908">ps</a>, <a href="https://arxiv.org/format/0707.3908">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.physe.2007.08.006">10.1016/j.physe.2007.08.006 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Quasiclassical approach and spin-orbit coupling </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">Cosimo Gorini</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Raimondi%2C+R">Roberto Raimondi</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0707.3908v1-abstract-short" style="display: inline;"> We discuss the quasiclassical Green function method for a two-dimensional electron gas in the presence of spin-orbit coupling, with emphasis on the meaning of the $尉$-integration procedure. As an application of our approach, we demonstrate how the spin-Hall conductivity, in the presence of spin-flip scattering, can be easily obtained from the spin-density continuity equation. </span> <span class="abstract-full has-text-grey-dark mathjax" id="0707.3908v1-abstract-full" style="display: none;"> We discuss the quasiclassical Green function method for a two-dimensional electron gas in the presence of spin-orbit coupling, with emphasis on the meaning of the $尉$-integration procedure. As an application of our approach, we demonstrate how the spin-Hall conductivity, in the presence of spin-flip scattering, can be easily obtained from the spin-density continuity equation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0707.3908v1-abstract-full').style.display = 'none'; document.getElementById('0707.3908v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 July, 2007; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2007. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">3 pages, Submitted to Physica E</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0701629">arXiv:cond-mat/0701629</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0701629">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0701629">ps</a>, <a href="https://arxiv.org/format/cond-mat/0701629">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.ssc.2007.03.060">10.1016/j.ssc.2007.03.060 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Current-induced spin polarization and the spin Hall effect: a quasiclassical approach </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Raimondi%2C+R">R. Raimondi</a>, <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">C. Gorini</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0701629v1-abstract-short" style="display: inline;"> The quasiclassical Green function formalism is used to describe charge and spin dynamics in the presence of spin-orbit coupling. We review the results obtained for the spin Hall effect on restricted geometries. The role of boundaries is discussed in the framework of spin diffusion equations. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0701629v1-abstract-full" style="display: none;"> The quasiclassical Green function formalism is used to describe charge and spin dynamics in the presence of spin-orbit coupling. We review the results obtained for the spin Hall effect on restricted geometries. The role of boundaries is discussed in the framework of spin diffusion equations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0701629v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0701629v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 January, 2007; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2007. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 5 figures, Submitted to Solid State Communications Special Issue on "Fundamental Phenomena in Low Dimensional Electron Systems". Special Issue Editors: Marco Polini, Michele Governale, Hermann Grabert, Vittorio Pellegrini, and Mario Tosi</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0606209">arXiv:cond-mat/0606209</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0606209">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0606209">ps</a>, <a href="https://arxiv.org/format/cond-mat/0606209">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.74.155316">10.1103/PhysRevB.74.155316 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Spin relaxation in narrow wires of a two-dimensional electron gas </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">Cosimo Gorini</a>, <a href="/search/cond-mat?searchtype=author&query=Raimondi%2C+R">Roberto Raimondi</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0606209v1-abstract-short" style="display: inline;"> How does an initially homogeneous spin-polarization in a confined two-dimensional electron gas with Rashba spin-orbit coupling evolve in time? How does the relaxation time depend on system size? We study these questions for systems of a size that is much larger than the Fermi wavelength, but comparable and even shorter than the spin relaxation length. Depending on the confinement spin-relaxation… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0606209v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0606209v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0606209v1-abstract-full" style="display: none;"> How does an initially homogeneous spin-polarization in a confined two-dimensional electron gas with Rashba spin-orbit coupling evolve in time? How does the relaxation time depend on system size? We study these questions for systems of a size that is much larger than the Fermi wavelength, but comparable and even shorter than the spin relaxation length. Depending on the confinement spin-relaxation may become faster or slower than in the bulk. An initially homogeneously polarized spin system evolves into a spiral pattern. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0606209v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0606209v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 June, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 4 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 74, 155316 (2006) (5 pages) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0601525">arXiv:cond-mat/0601525</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0601525">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0601525">ps</a>, <a href="https://arxiv.org/format/cond-mat/0601525">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.74.035340">10.1103/PhysRevB.74.035340 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Raimondi%2C+R">Roberto Raimondi</a>, <a href="/search/cond-mat?searchtype=author&query=Gorini%2C+C">Cosimo Gorini</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">Peter Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0601525v1-abstract-short" style="display: inline;"> We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($尉$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic spin-orbit field. The method allows us to study spin and charge transport from ballistic to diffusive regimes and continuity equations for spin and charge are automatica… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0601525v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0601525v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0601525v1-abstract-full" style="display: none;"> We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($尉$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic spin-orbit field. The method allows us to study spin and charge transport from ballistic to diffusive regimes and continuity equations for spin and charge are automatically incorporated. In the clean limit we establish the connection between the spin-Hall conductivity and the Berry phase in momentum space. For finite systems we solve the Eilenberger equation numerically for the special case of the Rashba spin-orbit coupling and a two-terminal geometry. In particular, we calculate explicitly the spin-Hall induced spin polarization in the corners, predicted by Mishchenko et al. [13]. Furthermore we find universal spin currents in the short-time dynamics after switching on the voltage across the sample, and calculate the corresponding spin-Hall polarization at the edges. Where available, we find perfect agreement with analytical results. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0601525v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0601525v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 January, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 6 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 74, 035340 (2006) (9 pages) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0504078">arXiv:cond-mat/0504078</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0504078">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0504078">ps</a>, <a href="https://arxiv.org/format/cond-mat/0504078">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0953-8984/17/17/014">10.1088/0953-8984/17/17/014 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The Peierls-Hubbard model at weak coupling </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Mocanu%2C+C">Carmen Mocanu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0504078v2-abstract-short" style="display: inline;"> We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium dimerization can be either enhanced or suppressed by the Hubbard interaction U. Applying second order perturbation theory we determine the critical value g_c = 0.689348… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0504078v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0504078v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0504078v2-abstract-full" style="display: none;"> We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium dimerization can be either enhanced or suppressed by the Hubbard interaction U. Applying second order perturbation theory we determine the critical value g_c = 0.689348 below which the Hubbard interaction enhances the dimerization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0504078v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0504078v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 15 April, 2005; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 4 April, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 4 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys.: Condens. Matter 17 (2005) 2663-2670 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0411315">arXiv:cond-mat/0411315</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0411315">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0411315">ps</a>, <a href="https://arxiv.org/format/cond-mat/0411315">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1002/pssb.200460041">10.1002/pssb.200460041 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Bosonization of dimerized Hubbard chains </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Mocanu%2C+C">C. Mocanu</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">U. Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0411315v1-abstract-short" style="display: inline;"> The role of Klein factors is investigated for the bosonized Hamiltonian of the dimerized Hubbard model. Contrary to previous approaches we take into account their number changing property, i.e. we do not replace them by Majorana fermions. We show how to treat Klein factors in the framework of the self-consistent harmonic approximation, both for finite systems and in the thermodynamic limit. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0411315v1-abstract-full" style="display: none;"> The role of Klein factors is investigated for the bosonized Hamiltonian of the dimerized Hubbard model. Contrary to previous approaches we take into account their number changing property, i.e. we do not replace them by Majorana fermions. We show how to treat Klein factors in the framework of the self-consistent harmonic approximation, both for finite systems and in the thermodynamic limit. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0411315v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0411315v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 November, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages; Proceedings ICTP 2004, Ustron, Poland</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> physica status solidi (b) 242, 245 (2005) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0408235">arXiv:cond-mat/0408235</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0408235">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0408235">ps</a>, <a href="https://arxiv.org/format/cond-mat/0408235">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0953-8984/16/36/010">10.1088/0953-8984/16/36/010 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Finite-Size Bosonization and Self-Consistent Harmonic Approximation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Mocanu%2C+C">C. Mocanu</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Schwab%2C+P">P. Schwab</a>, <a href="/search/cond-mat?searchtype=author&query=Eckern%2C+U">U. Eckern</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0408235v1-abstract-short" style="display: inline;"> The self-consistent harmonic approximation is extended in order to account for the existence of Klein factors in bosonized Hamiltonians. This is important for the study of finite systems where Klein factors cannot be ignored a priori. As a test we apply the method to interacting spinless fermions with modulated hopping. We calculate the finite-size corrections to the energy gap and the Drude wei… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0408235v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0408235v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0408235v1-abstract-full" style="display: none;"> The self-consistent harmonic approximation is extended in order to account for the existence of Klein factors in bosonized Hamiltonians. This is important for the study of finite systems where Klein factors cannot be ignored a priori. As a test we apply the method to interacting spinless fermions with modulated hopping. We calculate the finite-size corrections to the energy gap and the Drude weight and compare our results with the exact solution for special values of the model parameters. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0408235v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0408235v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 August, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys.: Condens. Matter 16 (2004) 6445-6451 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0007321">arXiv:cond-mat/0007321</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0007321">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0007321">ps</a>, <a href="https://arxiv.org/format/cond-mat/0007321">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/S0378-4371(00)00344-7">10.1016/S0378-4371(00)00344-7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Statistics of stable marriages </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">Michael Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Omero%2C+M">Marie-Jose Omero</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0007321v1-abstract-short" style="display: inline;"> In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and analytical methods. Generalizations of the model including singles and unequal numbers of men and women are also investigated. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0007321v1-abstract-full" style="display: none;"> In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and analytical methods. Generalizations of the model including singles and unequal numbers of men and women are also investigated. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0007321v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0007321v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 July, 2000; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2000. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 6 figures; to appear in Physica A</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Physica A 287, 321 (2000) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0007042">arXiv:cond-mat/0007042</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0007042">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0007042">ps</a>, <a href="https://arxiv.org/format/cond-mat/0007042">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/s100510070120">10.1007/s100510070120 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Phase diagram of the three-dimensional Hubbard model at half filling </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Staudt%2C+R">R. Staudt</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Muramatsu%2C+A">A. Muramatsu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0007042v1-abstract-short" style="display: inline;"> We investigate the phase diagram of the three-dimensional Hubbard model at half filling using quantum Monte Carlo (QMC) simulations. The antiferromagnetic Neel temperature T_N is determined from the specific heat maximum in combination with finite-size scaling of the magnetic structure factor. Our results interpolate smoothly between the asymptotic solutions for weak and strong coupling, respect… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0007042v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0007042v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0007042v1-abstract-full" style="display: none;"> We investigate the phase diagram of the three-dimensional Hubbard model at half filling using quantum Monte Carlo (QMC) simulations. The antiferromagnetic Neel temperature T_N is determined from the specific heat maximum in combination with finite-size scaling of the magnetic structure factor. Our results interpolate smoothly between the asymptotic solutions for weak and strong coupling, respectively, in contrast to previous QMC simulations. The location of the metal-insulator transition in the paramagnetic phase above T_N is determined using the electronic compressibility as criterion. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0007042v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0007042v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 July, 2000; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2000. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages, 6 figures, to be published in Eur. Phys. J. B (2000)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Eur. Phys. J. B 17, 411 (2000) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9708181">arXiv:cond-mat/9708181</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9708181">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9708181">ps</a>, <a href="https://arxiv.org/format/cond-mat/9708181">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1051/jp1:1997166">10.1051/jp1:1997166 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Scaling Behavior in the Stable Marriage Problem </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Omero%2C+M+J">M. J. Omero</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Marsili%2C+M">M. Marsili</a>, <a href="/search/cond-mat?searchtype=author&query=Zhang%2C+Y+-">Y. -C. Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9708181v1-abstract-short" style="display: inline;"> We study the optimization of the stable marriage problem. All individuals attempt to optimize their own satisfaction, subject to mutually conflicting constraints. We find that the stable solutions are generally not the globally best solution, but reasonably close to it. All the stable solutions form a special sub-set of the meta-stable states, obeying interesting scaling laws. Both numerical and… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9708181v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9708181v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9708181v1-abstract-full" style="display: none;"> We study the optimization of the stable marriage problem. All individuals attempt to optimize their own satisfaction, subject to mutually conflicting constraints. We find that the stable solutions are generally not the globally best solution, but reasonably close to it. All the stable solutions form a special sub-set of the meta-stable states, obeying interesting scaling laws. Both numerical and analytical tools are used to derive our results. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9708181v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9708181v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 August, 1997; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 1997. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages, revtex, 3 figures. To appear in J. de Physique I, vol 7, No 12 (December)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys.I France, Vol. 7, No 12, (Dec. 1997) 1723 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9708021">arXiv:cond-mat/9708021</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9708021">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9708021">ps</a>, <a href="https://arxiv.org/format/cond-mat/9708021">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/S0921-4526(97)00454-7">10.1016/S0921-4526(97)00454-7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Cooper pair delocalization in disordered media </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Araujo%2C+M+A+N">M. A. N. Araujo</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Aebischer%2C+C">C. Aebischer</a>, <a href="/search/cond-mat?searchtype=author&query=Baeriswyl%2C+D">D. Baeriswyl</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9708021v1-abstract-short" style="display: inline;"> We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem, namely, that the pair wave function is extended beyond the single-particle localization length if the latter is large. A physical justification is given in terms of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9708021v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9708021v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9708021v1-abstract-full" style="display: none;"> We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem, namely, that the pair wave function is extended beyond the single-particle localization length if the latter is large. A physical justification is given in terms of the Thouless block-scaling picture of localization. These arguments are supplemented by numerical simulations. With increasing disorder we find a transition from a regime in which the interaction delocalizes the pair to a regime in which the interaction enhances localization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9708021v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9708021v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 August, 1997; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 1997. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, RevTex with 2 figures included</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9609198">arXiv:cond-mat/9609198</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9609198">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9609198">ps</a>, <a href="https://arxiv.org/format/cond-mat/9609198">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/S0921-4526(96)00794-6">10.1016/S0921-4526(96)00794-6 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Variationnal study of ferromagnetism in the t1-t2 Hubbard chain </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Daul%2C+S">S. Daul</a>, <a href="/search/cond-mat?searchtype=author&query=Pieri%2C+P">P. Pieri</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Baeriswyl%2C+D">D. Baeriswyl</a>, <a href="/search/cond-mat?searchtype=author&query=Fazakas%2C+P">P. Fazakas</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9609198v1-abstract-short" style="display: inline;"> A one-dimensional Hubbard model with nearest and (negative) next-nearest neighbour hopping is studied variationally. This allows to exclude saturated ferromagnetism for $U < U_c$. The variational boundary $U_c (n)$ has a minimum at a ``critical density'' $n_c$ and diverges for $n \rightarrow 1$. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9609198v1-abstract-full" style="display: none;"> A one-dimensional Hubbard model with nearest and (negative) next-nearest neighbour hopping is studied variationally. This allows to exclude saturated ferromagnetism for $U < U_c$. The variational boundary $U_c (n)$ has a minimum at a ``critical density'' $n_c$ and diverges for $n \rightarrow 1$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9609198v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9609198v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 September, 1996; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 1996. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, LateX and 1 postscript figure. To appear in Physica B</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9604028">arXiv:cond-mat/9604028</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9604028">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9604028">ps</a>, <a href="https://arxiv.org/format/cond-mat/9604028">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Friedel transition in a modified XY model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Zamora%2C+M">M. Zamora</a>, <a href="/search/cond-mat?searchtype=author&query=Baeriswyl%2C+D">D. Baeriswyl</a>, <a href="/search/cond-mat?searchtype=author&query=Bagnoud%2C+X">X. Bagnoud</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9604028v1-abstract-short" style="display: inline;"> Weakly coupled superconducting layers are described by the three-dimensional XY model with strong coupling in two directions and weak coupling in the third direction. For the usual Josephson-type interplane coupling the coherence between the layers is lost at the same temperature as that within the layers. Thus a low-temperature layer decoupling due to a proliferation of fluxons between planes,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9604028v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9604028v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9604028v1-abstract-full" style="display: none;"> Weakly coupled superconducting layers are described by the three-dimensional XY model with strong coupling in two directions and weak coupling in the third direction. For the usual Josephson-type interplane coupling the coherence between the layers is lost at the same temperature as that within the layers. Thus a low-temperature layer decoupling due to a proliferation of fluxons between planes, as proposed by Friedel, does not occur in this case. However, for a modified interplane coupling there are two phase transitions, one of a Kosterlitz-Thouless type from a disordered high-temperature phase to an intermediate phase with phase coherence only parallel to the layers, the second from this effectively two-dimensional phase to a three-dimensional phase with coherence in all directions and a finite "n-state" order parameter. Thus we do find a "Friedel transition" for this special class of models. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9604028v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9604028v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 April, 1996; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 1996. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 postscript figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9603163">arXiv:cond-mat/9603163</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9603163">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9603163">ps</a>, <a href="https://arxiv.org/format/cond-mat/9603163">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.54.9250">10.1103/PhysRevB.54.9250 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Low density ferromagnetism in the Hubbard model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Pieri%2C+P">P. Pieri</a>, <a href="/search/cond-mat?searchtype=author&query=Daul%2C+S">S. Daul</a>, <a href="/search/cond-mat?searchtype=author&query=Baeriswyl%2C+D">D. Baeriswyl</a>, <a href="/search/cond-mat?searchtype=author&query=Dzierzawa%2C+M">M. Dzierzawa</a>, <a href="/search/cond-mat?searchtype=author&query=Fazekas%2C+P">P. Fazekas</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9603163v1-abstract-short" style="display: inline;"> A single-band Hubbard model with nearest and next-nearest neighbour hopping is studied for $d=1$, 2, 3, using both analytical and numerical techniques. In one dimension, saturated ferromagnetism is found above a critical value of $U$ for a band structure with two minima and for small and intermediate densities. This is an extension of a scenario recently proposed by M眉ller--Hartmann. For three d… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9603163v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9603163v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9603163v1-abstract-full" style="display: none;"> A single-band Hubbard model with nearest and next-nearest neighbour hopping is studied for $d=1$, 2, 3, using both analytical and numerical techniques. In one dimension, saturated ferromagnetism is found above a critical value of $U$ for a band structure with two minima and for small and intermediate densities. This is an extension of a scenario recently proposed by M眉ller--Hartmann. For three dimensions and non-pathological band structures, it is proven that such a scenario does not work. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9603163v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9603163v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 March, 1996; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 1996. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages, 3 postscript figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LQ5935 </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a 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