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arXiv · 2309.07035

Floquet topological phase transitions induced by uncorrelated or correlated disorder

Jun-Hui Zheng·Arijit Dutta·Monika Aidelsburger·Walter Hofstetter
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Abstract

The impact of weak disorder and its spatial correlation on the topology of a Floquet system is not well understood so far. In this study, we investigate a model closely related to a two-dimensional Floquet system that has been realized in experiments. In the absence of disorder, we determine the phase diagram and identify a new phase characterized by edge states with alternating chirality in adjacent gaps. When weak disorder is introduced, we examine the disorder-averaged Bott index and analyze why the anomalous Floquet topological insulator is favored by both uncorrelated and correlated disorder, with the latter having a stronger effect. For a system with a ring-shaped gap, the Born approximation fails to explain the topological phase transition, unlike for a system with a point-like gap.

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Jun-Hui Zheng, Arijit Dutta, Monika Aidelsburger, Walter Hofstetter. 2023-09-13. Floquet topological phase transitions induced by uncorrelated or correlated disorder. https://doi.org/10.1103/physrevb.109.184201

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