Localization in one-dimensional incommensurate lattices beyond the Aubry-Andr\'e model
Quantum Physics
2009-09-08 v1 Other Condensed Matter
Abstract
Localization properties of particles in one-dimensional incommensurate lattices without interaction are investigated with models beyond the tight-binding Aubry-Andr\'e (AA) model. Based on a tight-binding t_1 - t_2 model with finite next-nearest-neighbor hopping t_2, we find the localization properties qualitatively different from those of the AA model, signaled by the appearance of mobility edges. We then further go beyond the tight-binding assumption and directly study the system based on the more fundamental single-particle Schr\"odinger equation. With this approach, we also observe the presence of mobility edges and localization properties dependent on incommensuration.
Cite
@article{arxiv.0907.0252,
title = {Localization in one-dimensional incommensurate lattices beyond the Aubry-Andr\'e model},
author = {J. Biddle and B. Wang and D. J. Priour and S. Das Sarma},
journal= {arXiv preprint arXiv:0907.0252},
year = {2009}
}
Comments
5 pages, 6 figures