Fate of topological states in incommensurate generalized Aubry-Andr\'e models
Quantum Gases
2016-06-24 v1
Abstract
We study one-dimensional optical lattices described by generalized Aubry-Andr\'e models that include both commensurate and incommensurate modulations of the hopping amplitude. This brings together two interesting features of this class of systems: Anderson localization and the existence of topological edge states. We follow changes of the single-particle energy spectrum induced by variations of the system parameters, with focus on the survival of topological states in the localized regime.
Keywords
Cite
@article{arxiv.1606.07100,
title = {Fate of topological states in incommensurate generalized Aubry-Andr\'e models},
author = {J. C. C. Cestari and A. Foerster and M. A. Gusmão},
journal= {arXiv preprint arXiv:1606.07100},
year = {2016}
}
Comments
5 pages, 5 figures