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Published February 6, 2015 | Submitted + Published
Journal Article Open

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.

Additional Information

© 2015 American Physical Society. Received 19 March 2014; published 4 February 2015. We thank Kun W. Kim, Shu-Ping Lee, Victor Chua and S. M. Bhattacharjee for illuminating discussions. This work was funded by the Packard Foundation, and by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation. NL acknowledges financial support by the Bi-National Science Foundation, and by ICore: the Israeli Excellence Center "Circle of Light".

Attached Files

Published - PhysRevLett.114.056801.pdf

Submitted - 1403.0592v1.pdf

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