Interacting electrons in disordered wires: Anderson localization and low-temperature transport

Abstract

We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma (T)$ may only be non-zero due to electron-electron scattering. For weak interactions, the weak-localization regime crosses over with lowering $T$ into a dephasing-induced "power-law hopping". As $T$ is further decreased, the Anderson localization in Fock space crucially affects $\sigma (T)$, inducing a transition at $T=T_c$, so that $\sigma (T<T_c)=0$. The critical behavior of $\sigma (T)$ above $T_c$ is $\ln \sigma (T)\propto -(T-T_c{)}^{-1/2}$. The mechanism of transport in the critical regime is many-particle transitions between distant states in Fock space.

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• Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets
• Static Screening and Delocalization Effects in the Hubbard-Anderson Model
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
• Postquench prethermalization in a disordered quantum fluid of light
• Many-body physics with ultracold plasmas: Quenched randomness and localization
• Many-body localization transition through pairwise correlations
• Nucleation of ergodicity by a single mobile impurity in supercooled insulators
• Many-body localization and the area law in two dimensions
• Speedup of the Quantum Adiabatic Algorithm using Delocalization Catalysis
• The Fock-space landscape of many-body localisation
• Eigenstate localization in a many-body quantum system
• A characterization of quantum chaos by two-point correlation functions
• Probability transport on the Fock space of a disordered quantum spin chain
• Localization of disordered bosons and magnets in random fields
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Many-Body Mobility Edge in Quantum Sun models
• Diffusive to non-ergodic dipolar transport in a dissipative atomic medium
• Thermalization Processes in Interacting Anderson Insulators
• Extremal statistics of entanglement eigenvalues can track the many-body localized to ergodic transition
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Critical Level Statistics at the Many-Body Localization Transition Region
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Stable many-body localization under random continuous measurements in the no-click limit
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• A Quantum Breakdown Model: from Many-body Localization to Chaos with Scars
• Level statistics of the one-dimensional ionic Hubbard model
• Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Symmetry breaking and localization in a random Schwinger model with commensuration
• Classical and quantum systems: transport due to rare events
• Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
• Localization transition in random Levy matrices : multifractality of eigenvectors in the localized phase and at criticality
• Generalized Dyson model: nature of zero mode and its implication in dynamics
• Localization in an interacting quasi-periodic fermionic chain
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Tower of quantum scars in a partially many-body localized system
• Many-body localization in one dimensional optical lattice with speckle disorder
• Charge and spin-specific local integrals of motion in a disordered Hubbard model
• Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• On the possibility of many-body localization in a doped Mott insulator
• Very slow heating for weakly driven quantum many-body systems
• Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Identifying Correlation Clusters in Many-Body Localized Systems
• Automatic design of Hamiltonians
• Chaotic dynamics in a quantum Fermi-Pasta-Ulam problem
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization
• Classical simulation of quantum circuits by dynamical localization: analytic results for Pauli-observable scrambling in time-dependent disorder
• Multifractality of many-body non-Hermitian skin effect
• Absence of localization in interacting spin chains with a discrete symmetry
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Quantum simulation using noisy unitary circuits and measurements
• Analyzing many-body localization with a quantum computer
• Localization of a mobile impurity interacting with an Anderson insulator
• Correlated nonequilibrium steady states without energy flux
• ${\mathcal{L}}^2$ localization landscape for highly-excited states
• Local Operator Entanglement in Spin Chains
• Breaking the chains: extreme value statistics and localization in random spin chains
• Ergodic inclusions in many body localized systems
• Hopping conduction in strongly insulating states of a diffusive bent quantum Hall junction
• Renormalization group in quantum critical theories with Harris-marginal disorder
• Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
• Initial State Dependent Dynamics Across Many-body Localization Transition
• Semiclassical theory of strong localization for quantum thermalization
• A stabilization mechanism for many-body localization in two dimensions
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Dephasing catastrophe in $4-\epsilon$ dimensions: A possible instability of the ergodic (many-body-delocalized) phase
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Universal crossover from ground state to excited-state quantum criticality
• Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
• Mott glass from localization and confinement
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Multifractality in the interacting disordered Tavis-Cummings model
• Instability of localization in translation-invariant systems
• The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
• Boltzmann transport theory for many body localization
• Many-Body Localization from Dynamical Gauge Fields
• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• Tower of two-dimensional scar states in a localized system
• Many-body localization in continuum systems: two-dimensional bosons
• Localization transition induced by programmable disorder
• Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition
• Dynamics of pattern-loaded fermions in bichromatic optical lattices
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Step Heat Profile in Localized Chains
• Berezinskii-Kosteriltz-Thouless transition in disordered multi-channel Luttinger liquids
• Thermalization propagation front and robustness against avalanches in localized systems
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• Many-body localization proximity effect in two-species bosonic Hubbard model
• Structural properties of local integrals of motion across the many-body localization transition via a fast and efficient method for their construction
• Stark-Many body localization in interacting infinite dimensional systems
• Coupled identical localized fermionic chains with quasi-random disorder
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Memories of initial states and density imbalance in dynamics of interacting disordered systems
• Many-body-localization protection of eigenstate topological order in two dimensions
• Electron-Phonon Decoupling in Two Dimensions
• Kinetics of the disordered Bose gas with collisions
• Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
• Disordered BKT transition and superinsulation
• Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition
• Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
• Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
• Screening the Coulomb interaction and thermalization of Anderson insulators
• Lifetimes of local excitations in disordered dipolar quantum systems
• Modifying cooperative decay via disorder in atom arrays
• Quantum glass of interacting bosons with off-diagonal disorder
• Extreme many-body scarring in a quantum spin chain via weak dynamical constraints
• Correspondence between many-particle excitations and the entanglement spectrum of disordered ballistic one-dimensional systems
• Localization and integrability breaking in weakly interacting Floquet circuits
• Constrained thermalisation and topological superconductivity
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Emergent multifractality in power-law decaying eigenstates
• Many-body delocalization with random vector potentials
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
• Phenomenology of many-body localization in bond-disordered spin chains
• Transport of charge-density waves in the presence of disorder: Classical pinning vs quantum localization
• Conserved Quantities from Entanglement Hamiltonian
• Metal-insulator transition in a sliding Luttinger liquid with line defects
• Many-Body Localization: Concepts and Simple Models
• Spectral correlations in Anderson insulating wires
• Hidden thermal structure in Fock space
• From the Quantum Breakdown Model to the Lattice Gauge Theory
• Many-body localization regime for cavity induced long-range interacting models
• Statistical diagonalization of a random biased Hamiltonian: the case of the eigenvectors
• Many-body localization on finite generation fractal lattices
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers
• Cat states carrying long-range correlations in the many-body localized phase
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Dynamic scaling of the restoration of rotational symmetry in Heisenberg quantum antiferromagnets
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Entanglement entropy and localization in disordered quantum chains
• Topologically ordered time crystals
• Hamiltonian Dynamics of a Sum of Interacting Random Matrices
• Emergent statistical bubble localization in a Z2 lattice gauge theory
• Ring-localized states, radial aperiodicity and quantum butterflies on a Cayley tree
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Conductance of a quantum dot in the Kondo regime connected to dirty wires
• Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Many-body localized to ergodic transitions in a system with correlated disorder
• Many-body localization and delocalization dynamics in the thermodynamic limit
• Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
• Dynamical potentials for non-equilibrium quantum many-body phases
• Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
• Stable interaction-induced Anderson-like localization embedded in standing waves
• Disorder-Free Localization as a Purely Classical Effect
• Coulomb blockade in a non-thermalized quantum dot
• Beyond Fermi's golden rule with the statistical Jacobi approximation
• Prolonging a discrete time crystal by quantum-classical feedback
• Quantum Fragmentation in the Extended Quantum Breakdown Model
• Arresting Quantum Chaos Dynamically in Transmon Arrays
• Spectral properties of Levy Rosenzweig-Porter model via supersymmetric approach
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model
• Rise and Fall of Anderson Localization by Lattice Vibrations: A Time-Dependent Machine Learning Approach
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Characterizing the many-body localization transition through correlations
• Localization under the effect of randomly distributed decoherence
• Droplet localization in the random XXZ model and its manifestations
• Anderson localisation in steady states of microcavity polaritons
• Topology and many-body localization
• Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors
• Non-Markovian dephasing of disordered, quasi-one-dimensional fermion systems
• Temperature dependence of the zero-bias anomaly in the Anderson-Hubbard model: Insights from an ensemble of two-site systems
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains
• Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
• Response to a local quench of a system near many body localization transition
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Finite steady-state current defies non-Hermitian many-body localization
• Interacting spinning fermions with quasi-random disorder
• Tunable Anderson Localization of Dark States
• Imperfect Many-Body Localization in Exchange-Disordered Isotropic Spin Chains
• Tracking locality in time evolution of disordered systems
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Many-body localization with mobility edges
• Reviving product states in the disordered Heisenberg chain
• Quantum logarithmic multifractality
• Glassy dynamics in strongly anharmonic chains of oscillators
• Dynamical quantum phase transitions in Stark quantum spin chains
• Local Density of States Correlations in the Lévy-Rosenzweig-Porter random matrix ensemble
• Universal properties of single particle excitations across the many-body localization transition
• Inhomogeneous Floquet thermalization
• Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation
• Dynamical conductivity of disordered quantum chains
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Interaction induced spatial correlations in a Disordered Glass
• Universality of smoothness of Density of States in arbitrary higher-dimensional disorder under non-local interactions I. From Viéte--Euler identity to Anderson localization
• Scaling analysis and renormalization group on the mobility edge in the quantum random energy model
• Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Efficient simulation of many-body localized systems
• Long lifetimes of ultra-hot particles in interacting Fermi systems
• Interacting quasiperiodic spin chains in the prethermal regime
• Spreading of a local excitation in a Quantum Hierarchical Model
• Signatures of Anderson localization and delocalized random quantum states
• Trends of information backflow in disordered spin chains
• Exact solution of the minimalist Stark many body localization problem in terms of spin pair hopping
• Accessing eigenstate spin-glass order from reduced density matrices
• Long-range influence of manipulating disordered-insulators locally
• Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
• Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Dynamics of Anderson localization in disordered wires
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
• Spin correlation functions and quasiparticle decay
• Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
• Two-dimensional quantum breakdown model with Krylov subspace many-body localization
• Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Multifractality in high-dimensional graphs induced by correlated radial disorder
• Thermal transport in disordered one-dimensional spin chains
• Coherent backscattering in the Fock space of ultracold bosonic atoms
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Quantized and maximum entanglement from sublattice symmetry
• Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
• Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Superbosonization in disorder and chaos: The role of anomalies
• Spectral Multifractality and Emergent Energyscales Across the Many-Body Localisation Transition
• Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
• Multibody expansion of the local integrals of motion: How many pairs of particle-hole do we really need to describe the quasiparticles in the many-body localized phase?
• Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices
• Memory effects in the density-wave imbalance in delocalized disordered systems
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Weak localization and magnetoresistance in a two-leg ladder model
• Universal properties of the FQH state from the topological entanglement entropy and disorder effects
• Numerical and quantum simulation of a quantum disentangled liquid
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Critical behavior of the specific heat in Ti-Si amorphous alloys at the metal-insulator transition
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• Optically pumped spin polarization as a probe of many-body thermalization
• Low temperature transport in tunnel junction arrays: Cascade energy relaxation
• Delocalization in a partially disordered interacting many-body system
• Localization-Delocalization Transition and Current Fractalization
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Investigating Stark many-body localization with continuous unitary transformation flows
• Neural Networks as Universal Probes of Many-Body Localization in Quantum Graphs
• An Explicit Bound for Dynamical Localisation in an Interacting Many-Body System
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
• Anomalies of global symmetries on the lattice
• Asymptotic Localization in the Bose-Hubbard Model
• Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
• The Wishart--Rosenzweig--Porter random matrix ensemble
• Circular Rosenzweig-Porter random matrix ensemble
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• Unsupervised detection of decoupled subspaces: many-body scars and beyond
• Local insulator-to-superconductor transition in amorphous InO${}_x$ films modulated by e-beam irradiation
• Long-range resonances in quasiperiodic many-body localization
• Probing the many-body localized spin-glass phase through quench dynamics
• Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization
• Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
• Exploring excited eigenstates of many-body systems using the functional renormalization group
• Two-dimensional many-body localized systems coupled to a heat bath
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• Half metals at intermediate energy scales in Anderson-type insulators
• Efficient detection of localization transitions using predictability
• Efficient localization bounds in a continuous multi-particle Anderson model with long-range interaction
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Observation of gapless collective charge fluctuations in an Anderson insulating state
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Nonequilibrium localization and the interplay between disorder and interactions
• Density of states correlations in Lévy Rosenzweig-Porter model via supersymmetry approach
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Unified theory of local integrals of motion
• Construction of asymptotic quantum many-body scar states in the SU($N$) Hubbard model
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
• Design Principles for Enhanced Quantum Transport with Site-Dependent Noise
• Universal fluctuations of localized two interacting particles in one dimension
• Relaxation mechanisms in a disordered system with the Poisson level statistics
• 2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
• AC Conductivity Crossover in Localized Superconductors
• Analytical Description of the Quantum-Mesoscopic-Classical Transition in Systems with Quasi-Discrete Environment
• Many-body localization in a tilted potential in two dimensions
• Heat percolation in many-body flatband localizing systems
• Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Equivalence of dynamics of disordered quantum ensembles and semi-infinite lattices
• Efficient Anderson localization bounds for large multi-particle systems
• Analytical Analysis of Single-Photon Correlations Emitted by Disordered Semiconductor Heterostructures
• Statistical properties of two-particle transmission at Anderson transition
• Information Bounds on phase transitions in disordered systems
• Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition
• Inner structure of the many-body localization transition and the fulfillment of the Harris criterion
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Critical Dynamics of the Anderson Transition on Small-World Graphs
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Density matrix of chaotic quantum systems