Disorder-induced Floquet Topological Insulators
Abstract
We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish that a disorder-induced trivial-to-topological transition indeed occurs, and characterize it by computing the disorder averaged Bott index, suitably defined for the time-dependent system. The presence of edge states in the topological state is confirmed by exact numerical time-evolution of wavepackets on the edge of the system. We consider the optimal driving regime for experimentally observing the Floquet-Anderson topological insulator, and discuss its possible realization in photonic lattices.
Cite
@article{arxiv.1403.0592,
title = {Disorder-induced Floquet Topological Insulators},
author = {Paraj Titum and Netanel H. Lindner and Mikael C. Rechtsman and Gil Refael},
journal= {arXiv preprint arXiv:1403.0592},
year = {2015}
}
Comments
Version accepted to PRL