Floquet topological phase transitions induced by uncorrelated or correlated disorder

• URL: http://arxiv.org/abs/2309.07035v1
• Date: Wed, 13 Sep 2023 15:44:50 GMT
• Title: Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Authors: Jun-Hui Zheng, Arijit Dutta, Monika Aidelsburger, and Walter Hofstetter
• Abstract summary: We investigate a model closely related to a two-dimensional Floquet system. In the absence of disorder, we identify a new phase characterized by edge states with alternating chirality in adjacent gaps.
• Score: 0.7999703756441756
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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