Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators

Abstract

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological states coexisting with fully localized bulk states, as in the case of the anomalous Floquet-Anderson insulator. Here, we show the fingerprints of this peculiar topological phase in the transport properties and their dependence on the disorder strength, geometrical configuration (two-terminal and multiterminal setups) and details of the driving protocol.

arXiv comment7 pages, 5 figures

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• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Controlling Exceptional Points with Light
• Generation of higher-order topological insulators using periodic driving
• Interacting topological frequency converter
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Quantum Hall criticality in Floquet topological insulators
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• Topological delocalization in the completely disordered two-dimensional quantum walk
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Floquet boundary states in AB-stacked graphite