Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators

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

2007-09-21

arxiv.org/abs/0709.3392v4

J. Phys. A: Math. Theor. 41 (2008) 125202

Physics

Condensed Matter

Other Condensed Matter

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

Scientific paper

10.1088/1751-8113/41/12/125202

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.

Affiliated with

Also associated with

No associations

Rating

Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256631