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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGontier, David
HAL ID: 11393
ORCID: 0000-0001-8648-7910
hal.structure.identifierCentre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
dc.contributor.authorLevitt, Antoine
HAL ID: 8828
hal.structure.identifierCentre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
dc.contributor.authorSiraj-Dine, Sami
dc.date.accessioned2019-04-17T12:19:58Z
dc.date.available2019-04-17T12:19:58Z
dc.date.issued2019
dc.identifier.issn0022-2488
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18673
dc.language.isoenen
dc.subjectWannier functionsen
dc.subjectKane-Mele modelen
dc.subject.ddc520en
dc.titleNumerical construction of Wannier functions through homotopyen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe provide a mathematically proven, simple and efficient algorithm to build localised Wannier functions, with the only requirement that the system has vanishing Chern numbers. Our algorithm is able to build localised Wannier for topological insulators such as the Kane-Mele model. It is based on an explicit and constructive proof of homotopies for the unitary group. We provide numerical tests validating the methods for several systems, including the Kane-Mele model.en
dc.relation.isversionofjnlnameJournal of Mathematical Physics
dc.relation.isversionofjnlvol60en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2019
dc.relation.isversionofdoi10.1063/1.5085753en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01955842en
dc.relation.isversionofjnlpublisherAmerican Institute of Physicsen
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-03-26T15:31:30Z
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