Localization, topology and quantized transport in disordered Floquet systems

Matteo M. Wauters; Angelo Russomanno; Roberta Citro; Giuseppe E. Santoro; Lorenzo Privitera

doi:10.1103/physrevlett.123.266601

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arXiv · 1907.02543

Localization, topology and quantized transport in disordered Floquet systems

Matteo M. Wauters·Angelo Russomanno·Roberta Citro·Giuseppe E. Santoro·Lorenzo Privitera

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Abstract

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic driving plays a fundamental role in delocalizing Floquet states over the whole system, henceforth allowing for a steady state nearly-quantized current. Remarkably, this is linked to a localization/delocalization transition in the Floquet states of a one dimensional driven Anderson insulator, which occurs for periodic driving corresponding to a nontrivial loop in the parameter space. As a consequence, the Floquet spectrum becomes continuous in the delocalized phase, in contrast with a pure-point instantaneous spectrum.

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Matteo M. Wauters, Angelo Russomanno, Roberta Citro, Giuseppe E. Santoro, Lorenzo Privitera. 2019-07-17. Localization, topology and quantized transport in disordered Floquet systems. https://doi.org/10.1103/physrevlett.123.266601

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