Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators

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It 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.
15 pages, final version. Accepted for publication in J.Phys.A

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Other Condensed Matter, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/156507

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.3392
 http://arxiv.org/abs/0709.3392
 J. Phys. A: Math. Theor. 41 (2008) 125202
 doi:10.1088/1751-8113/41/12/125202

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