Non-Abelian inverse Anderson transitions

Abstract

Inverse Anderson transitions, where the flat-band localization is destroyed by disorder, have been wildly investigated in quantum and classical systems in the presence of Abelian gauge fields. Here, we report the first investigation on inverse Anderson transitions in the system with non-Abelian gauge fields. It is found that pseudospin-dependent localized and delocalized eigenstates coexist in the disordered non-Abelian Aharonov-Bohm cage, making inverse Anderson transitions depend on the relative phase of two internal pseudospins. Such an exotic phenomenon induced by the interplay between non-Abelian gauge fields and disorder has no Abelian analogy. Furthermore, we theoretically design and experimentally fabricate nonAbelian Aharonov-Bohm topolectrical circuits to observe the non-Abelian inverse Anderson transition. Through the direct measurements of frequency-dependent impedance responses and voltage dynamics, the pseudospin-dependent non-Abelian inverse Anderson transitions are observed. Our results establish the connection between inverse Anderson transitions and non-Abelian gauge fields, and thus comprise a new insight on the fundamental aspects of localization in disordered non-Abelian flat-band systems.

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• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• The fate of disorder in twisted bilayer graphene near the magic angle
• Compact localized currents in flat bands with broken time-reversal symmetry
• Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
• Flux-induced strengthening of the magnetic couplings in a flat-band diamond chain
• Proximity-induced flat bands and topological properties in a decorated diamond chain
• Phase and Photon Number Dependent NOON State Localization in Flat Band Lattices
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands