How to escape Aharonov-Bohm cages ?

Abstract

We study the effect of disorder and interactions on a recently proposed magnetic field induced localization mechanism. We show that both partially destroy the extreme confinement of the excitations occuring in the pure case and give rise to unusual behavior. We also point out the role of the edge states that allows for a propagation of the electrons in these systems.

22 pages, 20 EPS figures

References in corpus (7)

• Aharonov-Bohm cages in two-dimensional structures
• Interaction induced delocalisation for two particles in a periodic potential
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Transmission through quantum networks
• Double butterfly spectrum for two interacting particles in the Harper model
• Localization Effect in a 2D Superconducting Network without Disorder
• Effects of field modulation on Aharonov-Bohm cages in a two-dimensional bipartite periodic lattice

Cited by in corpus (104)

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• Non-Bloch band collapse and chiral Zener tunneling
• Chiral Flat Bands: Existence, Engineering and Stability
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• Preformed pairs in flat Bloch bands
• Magnetic properties of the $\alpha$-$T_3$ model: magneto-optical conductivity and the Hofstadter butterfly
• Correlated phases of bosons in the flat lowest band of the dice lattice
• Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
• Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
• Rashba effect induced localization in quantum networks
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Nonlinear dynamics of Aharonov-Bohm cages
• Topology-induced phase transitions in quantum spin Hall lattices
• Flatband generator in two dimensions
• Rashba effect in quantum networks
• Coherent control of interacting particles using dynamical and Aharonov-Bohm phases
• Nonlinear caging in All-Bands-Flat Lattices
• Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
• Quantum Interference in Superconducting Wire Networks and Josephson Junction Arrays: Analytical Approach based on Multiple-Loop Aharonov-Bohm Feynman Path-Integrals
• General construction of flat bands with and without band crossings based on wave function singularity
• Nonlinear symmetry breaking of Aharonov-Bohm cages
• Flat band in two-dimensional non-Hermitian optical lattices
• Inverse Anderson transition in photonic cages
• Engineering flat electronic bands in quasiperiodic and fractal loop geometries
• Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands
• Flat Bands and Ferrimagnetic Order in Electronically Correlated Dice-Lattice Ribbons
• Interplay of disorder and interactions in a flat-band supporting diamond chain
• Disorder perturbed Flat Bands I: Level density and Inverse Participation Ratio
• Vortex correlations in a fully frustrated two-dimensional superconducting network
• Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
• Spin transport through a quantum network: Effects of Rashba spin orbit interaction and Aharonov-Bohm flux
• Flat-band-based multifractality in the all-band-flat diamond chain
• Flat bands and long range Coulomb interactions: conducting or insulating?
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Many-Body Effects and Optical Properties of Single- and Double Layer $\alpha$-${\mathcal{T}}_3$ Lattices
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Superfluid-Insulator transitions of bosons on Kagome lattice at non-integer fillings
• Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks
• Flat bands with band crossings enforced by symmetry representation
• Effect of magnetic field and chemical potential on the RKKY interaction in the $\alpha$-${\mathcal{T}}_3$ lattice
• Multi-mode architectures for noise-resilient superconducting qubits
• Magnetoplasmons for the $\alpha$-T${}_3$ model with filled Landau levels
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Decoding flat bands from compact localized states
• Disorder effects in the two-dimensional Lieb lattice and its extensions
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Topological properties of a class of Su-Schrieffer-Heeger variants
• Disorder perturbed Flat Bands II: a search for criticality
• Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction
• Non-Hermitian flatband generator in one dimension
• Kaleidoscopes of Hofstadter Butterflies and Aharonov-Bohm caging from $2^n$-root topology in decorated square lattices
• Metal-insulator transition in infinitesimally weakly disordered flatbands
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Majorana corner states on the dice lattice
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
• Coherent transport in Josephson-Junction rhombi chain with quenched disorder
• Quasiperiodic tilings under magnetic field
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Structure of the superconducting state in a fully frustrated wire network with dice lattice geometry
• Strongly correlated hopping and many-body bound states
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder
• Localization on quantum graphs with random edge lengths
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Critical States Generators from Perturbed Flatbands
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• Level-spectra Statistics in Planar Fractal Tight-Binding Models
• Tunable Aharonov-Bohm-like cages for quantum walks
• Quantum collision theory in flat bands
• Bose-Hubbard model on a star lattice
• Singular flat bands in the modified Haldane-Dice model
• Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
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• Interplay of many-body interactions and quasiperiodic disorder in the all-band-flat diamond chain
• Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages
• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
• Spin-selective Aharonov-Casher caging in a topological quantum network
• Valley Gapless Semiconductor: Models and Applications
• Developing a semiclassical Wentzel-Kramers-Brillouin theory for $\alpha -{\mathcal{T}}_3$ model
• Robustness of Aharonov-Bohm cages in quantum walks
• Interaction-induced chiral-transport inversion
• Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
• Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
• Topological Degeneracy Induced Flat Bands in two-Dimensional Holed Systems
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Non-Hermitian Aharonov-Bohm Cage
• Kicked Hall Systems: Quantum-Dynamical and Spectral Manifestations of Generic Superweak Chaos
• Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band
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• Large Chern numbers in a dissipative dice model
• Localization and Flat Bands in Bond-Inflated Lattices
• Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions
• Compact localized currents in flat bands with broken time-reversal symmetry