Quantized Topological Anderson-Thouless Pump

Abstract

Thouless pump with quantized transports is topologically robust against small perturbations and disorders, while breaks down under sufficiently strong disorders. Here we propose counter-intuitive topological pumps induced by disorders in noninteracting and interacting systems. We first show an extrinsic topological pump driven by the on-site quasiperiodic potential for a two-loop sequence, where the disorder inequivalently suppresses the topology of two pump loops. Moreover, we reveal an intrinsic topological pump induced by the hopping quasiperiodic disorder from a trivial single-loop pump in the clean limit, dubbed the topological Anderson-Thouless pump (TATP) as a dynamical analogue of topological Anderson insulators. We demonstrate that the mechanism of the TATP is the disorder-induced shift of gapless critical points and the TATP can even exhibit in the dynamic disorder and interacting cases. Finally, we extend the TATP to higher-order topological systems with disorder-induced quantized corner transports. Our proposed TATPs present new members of the topological pump family and could be realized with ultracold atoms or photonic waveguides.

13 pages, 13 figures (including supplemental materials)

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Cited by in corpus (15)

• Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• Thouless pumping and trapping of two-component gap solitons
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Structural disorder-induced topological phase transitions in quasicrystals
• Effects of Disorder On Thouless Pumping In Higher-Order Topological Insulators
• Non-Abelian quantum geometric tensor in degenerate topological semimetals
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Synthetic non-Abelian topological charges in ultracold atomic gases
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Finite-temperature topological invariant for higher-order topological insulators
• Absence of disordered Thouless pumps at finite frequency
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Recent progress on disorder-induced topological phases