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arXiv · 1403.0592

Disorder-induced Floquet Topological Insulators

Paraj Titum·Netanel H. Lindner·Mikael C. Rechtsman·Gil Refael
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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.

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Paraj Titum, Netanel H. Lindner, Mikael C. Rechtsman, Gil Refael. 2015-02-10. Disorder-induced Floquet Topological Insulators. https://doi.org/10.1103/physrevlett.114.056801

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