Fate of topological states in incommensurate generalized Aubry-Andr\'e models

Autor: Cestari, J. C. C., Foerster, A., Gusmão, M. A.
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. B 93 (2016) 205441
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.93.205441
Popis: 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.
Comment: 5 pages, 5 figures
Databáze: arXiv