TY - RPRT

T1 - Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators

AU - Cornean, Horia

AU - Nenciu, A.

AU - Nenciu, Gheorghe

PY - 2007

Y1 - 2007

N2 - 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. If the system has some translation symmetries (e.g. usual translations, screw transformations), they are "inherited" bythe Wannier basis.

AB - 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. If the system has some translation symmetries (e.g. usual translations, screw transformations), they are "inherited" bythe Wannier basis.

M3 - Report

T3 - Research Report Series

BT - Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators

PB - Department of Mathematical Sciences, Aalborg University

ER -