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arXiv · 1606.07100

Fate of topological states in incommensurate generalized Aubry-André models

J. C. C. Cestari·A. Foerster·M. A. Gusmão
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Abstract

We study one-dimensional optical lattices described by generalized Aubry-André 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.

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J. C. C. Cestari, A. Foerster, M. A. Gusmão. 2016-06-22. Fate of topological states in incommensurate generalized Aubry-André models. https://doi.org/10.1103/physrevb.93.205441

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