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.

arXiv comment12 pages, 4 figures

References in corpus (40)

• Topolectrical circuit realization of topological corner modes
• Topolectrical circuits
• Topological Anderson Insulator
• Theory of the topological Anderson insulator
• Aharonov-Bohm cages in two-dimensional structures
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Disorder-induced Floquet Topological Insulators
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Detangling Flat Bands into Fano Lattices
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Topological Anderson Insulator in Three Dimensions
• End states, ladder compounds, and domain wall fermions
• Interaction induced delocalisation for two particles in a periodic potential
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Flat Bands Under Correlated Perturbations
• Circuit Implementation of a Four-Dimensional Topological Insulator
• How to escape Aharonov-Bohm cages ?
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Band structure engineering and reconstruction in electric circuit networks
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
• Anderson localisation in tight-binding models with flat bands
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Realization of the square-root higher-order topological insulator in electric circuits
• Observation of novel topological states in hyperbolic lattices
• Quantum criticality of quasi one-dimensional topological Anderson insulators
• Correlated phases of bosons in the flat lowest band of the dice lattice
• Topolectrical-circuit realization of 4D hexadecapole insulator
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Nonlinear dynamics of Aharonov-Bohm cages
• Bound states at partial dislocation defects in multipole higher-order topological insulators
• Coherent control of interacting particles using dynamical and Aharonov-Bohm phases
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
• Inverse Anderson transition in photonic cages
• Custodial chiral symmetry in a Su-Schrieffer-Heeger electrical circuit with memory
• Influence of different disorder types on Aharonov-Bohm caging in the diamond chain

Cited by in corpus (15)

• Non-Abelian inverse Anderson transitions
• Anomalous fractal scaling in two-dimensional electric networks
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Topological inverse Anderson insulator
• Engineering topological states and quantum-inspired information processing using classical circuits
• 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