Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators

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dc.creatorCornean, H. D.
dc.creatorNenciu, A.
dc.creatorNenciu, G.
dc.date2007-09-21
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:25:44Z
dc.date.available2026-07-07T09:25:44Z
dc.descriptionIt is proved that for general, not necessarily periodic quasi one dimensional systems, the band position operator corresponding to an isolated part of the energy spectrum has discrete spectrum and its eigenfunctions have the same spatial localization as the corresponding spectral projection. As a consequence, an eigenbasis of the band position operator provides a basis of optimally localized (generalized) Wannier functions for quasi one dimensional systems, thus proving the "strong conjecture" of Marzari and Vanderbilt. If the system has some translation symmetries (e.g. usual translations, screw transformations), they are "inherited" by the Wannier basis.
dc.description15 pages, final version. Accepted for publication in J.Phys.A
dc.identifierhttps://arxiv.org/abs/0709.3392
dc.identifierhttp://arxiv.org/abs/0709.3392
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 125202
dc.identifierdoi:10.1088/1751-8113/41/12/125202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156507
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.titleOptimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
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