Topological Zero-Energy Modes in Gapless Commensurate Aubry-Andr\'e-Harper Models
Mesoscale and Nanoscale Physics
2013-05-03 v2 Quantum Physics
Abstract
The Aubry-Andr\'e or Harper (AAH) model has been the subject of extensive theoretical research in the context of quantum localization. Recently, it was shown that one-dimensional quasicrystals described by the incommensurate AAH model has a nontrivial topology. In this Letter, we show that the commensurate off-diagonal AAH model is topologically nontrivial in the gapless regime and supports zero-energy edge modes. Unlike the incommensurate case, the nontrivial topology in the off-diagonal AAH model is attributed to the topological properties of the one-dimensional Majorana chain. We discuss the feasibility of experimental observability of our predicted topological phase in the commensurate AAH model.
Keywords
Cite
@article{arxiv.1301.5639,
title = {Topological Zero-Energy Modes in Gapless Commensurate Aubry-Andr\'e-Harper Models},
author = {Sriram Ganeshan and Kai Sun and S. Das Sarma},
journal= {arXiv preprint arXiv:1301.5639},
year = {2013}
}
Comments
5 pages + 1 page supplementary material