Localization, topology and quantized transport in disordered Floquet systems

Abstract

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic driving plays a fundamental role in delocalizing Floquet states over the whole system, henceforth allowing for a steady state nearly-quantized current. Remarkably, this is linked to a localization/delocalization transition in the Floquet states of a one dimensional driven Anderson insulator, which occurs for periodic driving corresponding to a nontrivial loop in the parameter space. As a consequence, the Floquet spectrum becomes continuous in the delocalized phase, in contrast with a pure-point instantaneous spectrum.

arXiv comment6 pages, 4 figures

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Cited by in corpus (29)

• Thouless pumping and topology
• Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Quantized Topological Anderson-Thouless Pump
• Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor
• Prethermalization and entanglement dynamics in interacting topological pumps
• Effects of Disorder On Thouless Pumping In Higher-Order Topological Insulators
• Anatomy of topological Anderson transitions
• Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Localization of matter waves in lattice systems with moving disorder
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Disorder-induced topology in quench dynamics
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• Asymmetric topological pumping in nonparaxial photonics
• Absence of disordered Thouless pumps at finite frequency
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• Topology, oxidation states, and charge transport in ionic conductors