Floquet topological phase transitions induced by uncorrelated or correlated disorder

Fuente: arXiv
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Autori principali: Zheng, Jun-Hui, Dutta, Arijit, Aidelsburger, Monika, Hofstetter, Walter
Natura: Preprint
Pubblicazione: 2023
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author Zheng, Jun-Hui
Dutta, Arijit
Aidelsburger, Monika
Hofstetter, Walter
author_facet Zheng, Jun-Hui
Dutta, Arijit
Aidelsburger, Monika
Hofstetter, Walter
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_07035
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Floquet topological phase transitions induced by uncorrelated or correlated disorder
Zheng, Jun-Hui
Dutta, Arijit
Aidelsburger, Monika
Hofstetter, Walter
Quantum Physics
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Materials Science
Quantum Gases
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.
title Floquet topological phase transitions induced by uncorrelated or correlated disorder
topic Quantum Physics
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Materials Science
Quantum Gases
url https://arxiv.org/abs/2309.07035