Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization

TL;DR

This study demonstrates that quantized charge transport can occur in disordered Floquet topological insulators without Anderson localization, with diffusive bulk transport and vanishing dynamic corrections over time.

Contribution

It provides numerical evidence that quantized charge transport persists in temporally disordered Floquet topological insulators without requiring Anderson localization.

Findings

Quantized charge transport coexists with diffusive bulk motion.

Dynamic corrections to pumped charge vanish in the long-time limit.

Transport exhibits two regimes: transient plateau and long-time scaling law.

Abstract

We perform a numerical study of Floquet topological insulators with temporal disorder to investigate the existence of quantized charge transport without Anderson localization. We first argue that in setups with temporal imperfections Anderson localization can not be expected but bulk transport is diffusive in the long-time limit. In a second step we compute the corrections to the cumulative averaged pumped charge due to the temporal disorder and show that transport is characterized by two regimes: the transient regime, represented by a plateau for uncorrelated disorder, and the long-time behavior with a common scaling law for both uncorrelated and correlated disorder. Most notably, our numerical results indicate that the dynamic corrections vanish in the long-time limit such that quantized charge transport and diffusive bulk motion can coexist in temporally disordered Floquet topological insulators.