Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits

Abstract

It is well known that Anderson transition is a disorder-induced metal-insulator transition.Contrary to this conventional wisdom, some investigations have shown that disorders could destroy the phase coherence of localized modes in flatbands, making the localized states melt into extended states. This phenomenon is called the inverse Anderson transition. While, to date, the experimental observation of inverse Anderson transitions is still lacking. In this work, we report the implementation of inverse Anderson transitions based on Aharonov-Bohm topolectrical circuits. Different types of disorders, including symmetric-correlated, antisymmetric-correlated and uncorrelated disorders, can be easily implemented in Aharonov-Bohm circuits by engineering the spatial distribution of ground settings. Through the direct measurements of frequency-dependent impedance responses and time-domain voltage dynamics, the inverse Anderson transitions induced by antisymmetric-correlated disorders are clearly observed. Moreover, the flat bands and associated spatial localizations are also fulfilled in clean Aharonov-Bohm circuits or Aharonov-Bohm circuits sustaining symmetric-correlated and uncorrelated disorders, respectively. Our proposal provides a flexible platform to investigate the interplay between the geometric localization and Anderson localization, and could have potential applications in electronic signal control.

12 pages, 4 figures

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• Critical States Generators from Perturbed Flatbands
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Resonant cavity-QED with chiral flat bands
• Flux-induced strengthening of the magnetic couplings in a flat-band diamond chain
• The fate of disorder in twisted bilayer graphene near the magic angle
• Compact localized currents in flat bands with broken time-reversal symmetry
• Proximity-induced flat bands and topological properties in a decorated diamond chain