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

Localization, topology and quantized transport in disordered Floquet systems