Exponential localization of Wannier functions in insulators

Simple item page
dc.creatorBrouder, Christian
dc.creatorPanati, Gianluca
dc.creatorCalandra, Matteo
dc.creatorMourougane, Christophe
dc.creatorMarzari, Nicola
dc.date2006-06-28
dc.date2007-03-07
dc.date.accessioned2026-07-07T07:50:20Z
dc.date.available2026-07-07T07:50:20Z
dc.descriptionThe exponential localization of Wannier functions in two or three dimensions is proven for all insulators that display time-reversal symmetry, settling a long-standing conjecture. Our proof relies on the equivalence between the existence of analytic quasi-Bloch functions and the nullity of the Chern numbers (or of the Hall current) for the system under consideration. The same equivalence implies that Chern insulators cannot display exponentially localized Wannier functions. An explicit condition for the reality of the Wannier functions is identified.
dc.descriptionFour pages, two figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0606726
dc.identifierhttp://arxiv.org/abs/cond-mat/0606726
dc.identifierPhysical Review Letters 98 (01/2007) 046402
dc.identifierdoi:10.1103/PhysRevLett.98.046402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125131
dc.subjectMaterials Science
dc.subjectMathematical Physics
dc.titleExponential localization of Wannier functions in insulators
dc.typetext

Files

Collections

arXiv