Anderson Transitions

Abstract

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type transitions between phases with localized states. The emphasis is put on recent developments, which include: multifractality of critical wave functions, criticality in the power-law random banded matrix model, symmetry classification of disordered electronic systems, mechanisms of criticality in quasi-one-dimensional and two-dimensional systems and survey of corresponding critical theories, network models, and random Dirac Hamiltonians. Analytical approaches are complemented by advanced numerical simulations.

63 pages, 39 figures, submitted to Rev. Mod. Phys

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• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• Resonant inverse Faraday effect in nanorings
• Global critical temperature in inhomogeneous superconductors induced by multifractality
• Non-ergodic delocalized phase with Poisson level statistics
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model
• Duality between two generalized Aubry-Andre models with exact mobility edges
• Observation of many-body Fock space dynamics in two dimensions
• Anderson photon-phonon co-localization in certain random superlattices
• Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions
• Universality in Anderson localization on random graphs with varying connectivity
• Finite-size scaling and multifractality at the Anderson transition for the three Wigner-Dyson symmetry classes in three dimensions
• Generalized Aubry-André-Harper model with modulated hopping and $p$-wave pairing
• On the disorder-driven quantum transition in three-dimensional relativistic metals
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Non-linear Hall Effects: Mechanisms and Materials
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Scaling of energy spreading in strongly nonlinear disordered lattices
• Wave function multifractality and dephasing at metal-insulator and quantum Hall transitions
• Emergent ergodicity at the transition between many-body localized phases
• Spectral properties of the Google matrix of the World Wide Web and other directed networks
• Interaction-mediated surface state instability in disordered three-dimensional topological superconductors with spin SU(2) symmetry
• Classification and symmetry properties of scaling dimensions at Anderson transitions
• Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
• Anderson localization and topological transition in Chern insulators
• Amorphous topological matter: theory and experiment
• Interpretable Machine Learning Study of Many-Body Localization Transition in Disordered Quantum Ising Spin Chains
• Metal-Insulator Transition in Graphene on Boron Nitride
• Does the brain behave like a (complex) network? I. Dynamics
• Quantum Logic between Remote Quantum Registers
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Density of states in graphene with vacancies: midgap power law and frozen multifractality
• Two-particle decay and quantum criticality in dimerized antiferromagnets
• Semiclassical roots of universality in many-body quantum chaos
• Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Quantum percolation and transition point of a directed discrete-time quantum walk
• Ulam method and fractal Weyl law for Perron--Frobenius operators
• Diffusive transport in a quasiperiodic Fibonacci chain: absence of many-body localization at small interactions
• Anderson localization of matter waves in tailored disordered potentials
• Topological quantum transport and spatial entanglement distribution via disordered bulk channel
• Quantum interference effect on exciton transport in monolayer semiconductors
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Symmetries of multifractal spectra and field theories of Anderson localization
• Spin Hall effect of light in a random medium
• Symmetries and the conductance of graphene nanoribbons with long-range disorder
• Universal dynamics of density correlations at the transition to many-body localized state
• Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices
• Lyapunov exponents, one-dimensional Anderson localisation and products of random matrices
• Transport in quantum chains under strong monitoring
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Energy transport in a disordered spin chain with broken U(1) symmetry: Diffusion, subdiffusion, and many-body localization
• Boundary criticality and multifractality at the 2D spin quantum Hall transition
• Coherent error threshold for surface codes from Majorana delocalization
• Creep motion of elastic interfaces driven in a disordered landscape
• Multifractality and quantum-to-classical crossover in the Coulomb anomaly at the Mott-Anderson metal-insulator transition
• Many-body dynamics in long-range hopping model in the presence of correlated and uncorrelated disorder
• Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Thermal conductivity minimum of graded superlattices due to phonon localization
• Subdiffusion in a 1D Anderson insulator with random dephasing: Finite-size scaling, Griffiths effects, and possible implications for many-body localization
• Topological phase transitions in glassy quantum matter
• Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable range hopping transition with Graphene
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Many-Body-Localization Transition : strong multifractality spectrum for matrix elements of local operators
• Loschmidt Echo in Many-Body Localized Phase
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Interacting bosons in a triple well: Preface of many-body quantum chaos
• Magic-Angle Semimetals with Chiral Symmetry
• Large Random Arrowhead Matrices: Multifractality, Semi-Localization, and Protected Transport in Disordered Quantum Spins Coupled to a Cavity
• Local entanglement structure across a many-body localization transition
• Integer quantum Hall transition on a tight-binding lattice
• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Dynamical localization and the effects of aperiodicity in Floquet systems
• Unusual Features of QCD Low-Energy Modes in IR Phase
• Finite-size scaling analysis of localization transition for scalar waves in a 3D ensemble of resonant point scatterers
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Transport, multifractality, and the breakdown of single-parameter scaling at the localization transition in quasiperiodic systems
• Many-body delocalization transition and relaxation in a quantum dot
• Anderson localization transition in disordered hyperbolic lattices
• Nonvanishing sub-gap photocurrent as a probe of lifetime effects
• Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands
• Enhanced, phase coherent, multifractal-like, two-dimensional superconductivity
• Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians
• Electronic Transport in Graphene with Aggregated Hydrogen Adatoms
• Anderson transition and multifractals in the spectrum of the Dirac operator of Quantum Chromodynamics at high temperature
• Localization of eigenvectors in random graphs
• Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
• Disorder-enhanced transport in a chain of lossy dipoles strongly coupled to cavity photons
• Dephasing-induced mobility edges in quasicrystals
• Critical analysis of the re-entrant localization transition in a one-dimensional dimerized quasiperiodic lattice
• Density of states in a two-dimensional chiral metal with vacancies
• High values of disorder-generated multifractals and logarithmically correlated processes
• Localization transition in one dimension using Wegner flow equations
• Universal statistics of vortex lines
• Entanglement scaling of excited states in large one-dimensional many-body localized systems
• Universality of the Anderson transition with the quasiperiodic kicked rotor
• Dimensional Dependence of Critical Exponent of the Anderson Transition in the Orthogonal Universality Class
• Singular Behavior of Eigenstates in Anderson's Model of Localization
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• Two scenarios for quantum multifractality breakdown
• Hilbert-space fragmentation, multifractality, and many-body localization
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Many-body localization in large systems: Matrix-product-state approach
• Localization length exponent in two models of quantum Hall plateau transitions
• Spatially shaping waves to penetrate deep inside a forbidden gap
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Emergent percolation length and localization in random elastic networks
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Localization transition for light scattering by cold atoms in an external magnetic field
• Edge and bulk localization of Floquet topological superconductors
• Diffusion and signatures of localization in stochastic conformal field theory
• The fate of interaction-driven topological insulators under disorder
• Topological Anderson insulators induced by random binary disorders
• Recovery of massless Dirac fermions at charge neutrality in strongly interacting twisted bilayer graphene with disorder
• Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Classification of Quench Dynamical Behaviours in Spinor Condensates
• Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Distinctive response of many-body localized systems to strong electric field
• Temperature enhancement of thermal Hall conductance quantization
• Vibrational polariton transport in disordered media
• Measurement-induced transitions for interacting fermions
• Flat Topological Bands and Eigenstate Criticality in a Quasiperiodic Insulator
• Flat-band-based multifractality in the all-band-flat diamond chain
• Transition from metal to higher-order topological insulator driven by random flux
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Topological phase transition in a stretchable photonic crystal
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• Finite Size Scaling Analysis of the Anderson Transition
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Majorana fermions on a disordered triangular lattice
• Kondo-Anderson Transitions
• Many-body localization in Ising models with random long-range interactions
• What is the right theory for Anderson localization of light?
• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• Dissipation induced extended-localized transition
• Monitored fermions with conserved $\mathrm{U}(1)$ charge
• The general approach to the critical phase with coupled quasiperiodic chains
• Extracting Critical Exponent by Finite-Size Scaling with Convolutional Neural Networks
• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Anderson Localization on the Bethe Lattice using Cages and the Wegner Flow
• Multifractal wave functions of simple quantum maps
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors
• Controlled engineering of extended states in disordered systems
• Metallic phase of the quantum Hall effect in four-dimensional space
• Generic mobility edges in several classes of duality-breaking one-dimensional quasiperiodic potentials
• Critical Metal Phase at the Anderson Metal-Insulator Transition with Kondo Impurities
• Inverse participation ratios in the XXZ spin chain
• Extended topological group structure due to average reflection symmetry
• Level statistics of real eigenvalues in non-Hermitian systems
• Statistics of renormalized on-site energies and renormalized hoppings for Anderson localization models in dimensions d=2 and d=3
• Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
• Single-Particle Mobility Edge without Disorder
• Quantum Walks on Trees with Disorder: Decay, Diffusion, and Localization
• Excited state quantum phase transitions in the bending spectra of molecules
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson Localization models
• Coherent forward scattering as a signature of Anderson metal-insulator transitions
• Superconductivity at the three-dimensional Anderson metal-insulator transition
• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Topological and conventional phases of a three dimensional electron glass
• Krylov fractality and complexity in generic random matrix ensembles
• Chalker scaling, level repulsion, and conformal invariance in critically delocalized quantum matter: Disordered topological superconductors and artificial graphene
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Topological enhancement of non-normality in non-Hermitian skin effects
• Nano-crystalline inclusions as a low-pass filter for thermal transport in a-Si
• Revisiting classical and quantum disordered systems from the unifying perspective of large deviations
• Delayed Thermalization in Mass-Deformed SYK
• Phase Diagrams of Three-Dimensional Anderson and Quantum Percolation Models using Deep Three-Dimensional Convolutional Neural Network
• Anomalous multifractality in quantum chains with strongly correlated disorder
• Quantum chaotic subdiffusion in random potentials
• Termination of typical wavefunction multifractal spectra at the Anderson metal-insulator transition: Field theory description using the functional renormalization group
• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• Enhanced Screening in Chemically Functionalized Graphene
• Topological Random Fractals
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Anderson universality in a model of disordered phonons
• Thermal metal-insulator transition in a helical topological superconductor
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Exact mobility edges for 1D quasiperiodic models
• Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model
• Scale-Invariant Survival Probability at Eigenstate Transitions
• Levy flights and multifractality in quantum critical diffusion and in classical random walks on fractals
• Quantum criticality at the Chern-to-normal insulator transition
• Scaling and renormalization in the modern theory of polarization: application to disordered systems
• Two dimensional metallic phases from disordered QED${}_3$
• Conformal bootstrap for percolation and polymers
• Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
• Holographic Conductivity in Disordered Systems
• Topology and localization of a periodically driven Kitaev model
• Transverse confinement of waves in 3D random media
• Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal $1/f$ noise
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Measurements on an Anderson Chain
• Erratic non-Hermitian skin localization
• Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
• Spread of wave packets in disordered hierarchical lattices
• Generalization of the Haldane conjecture to SU($n$) chains
• Parity-Induced Thermalization Gap in Disordered Ring Lattices
• Random Dirac operators with time-reversal symmetry
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• An Ising-Anderson model of localisation in high-temperature QCD
• Spin and Charge Transport of Multi-Orbital Quantum Spin Hall Insulators
• Spectral Form Factor as an OTOC Averaged over the Heisenberg Group
• Statistics of phase space localization measures and quantum chaos in the kicked top model
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Observation of infinite-range intensity correlations above, at and below the 3D Anderson localization transition
• Scaling perspective on Intramolecular vibrational energy flow: analogies, insights, and challenges
• Chiral Interface States and Related Quantized Transport in Disordered Chern Insulators
• Disorder-driven transition in a chain with power-law hopping
• Flag manifold sigma models: spin chains and integrable theories
• The ampere and the electrical units in the quantum era
• Surface codes, quantum circuits, and entanglement phases
• Nonlinear Spectroscopy of Controllable Many-Body Quantum Systems
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• The metal-insulator transition in disordered solids: How theoretical prejudices influence its characterization. A critical review of analyses of experimental data
• Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class
• Many-body localization as a large family of localized ground states
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Weyl node with random vector potential
• The Renyi Entropy and the Multifractal Spectrum of Systems Near the Localization Transition
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Logarithmic, noise-induced dynamics in the Anderson insulator
• Localization and criticality in antiblockaded 2D Rydberg atom arrays
• Anomalous magneto-transport in disordered structures: classical edge-state percolation
• Many Body Localization Transition in the strong disorder limit : entanglement entropy from the statistics of rare extensive resonances
• Scale-free network topology and multifractality in weighted planar stochastic lattice
• Interaction and disorder effects in 3D topological insulator thin films
• Scale-invariant critical dynamics at eigenstate transitions
• Multifractality in non-unitary random dynamics
• Multifractally-enhanced superconductivity in thin films
• Understanding disorder in 2D materials: the case of carbon doping of Silicene
• Spin-dependent scattering induced negative magnetoresistance in topological insulator Bi2Te3 nanowires
• Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions
• Localization as an entanglement phase transition in boundary-driven Anderson models
• Theory for magnetic-field-driven 3D metal-insulator transitions in the quantum limit
• Power-law energy level-spacing distributions in fractals
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Critical dynamics at the Anderson localization mobility edge
• Symmetry relation for multifractal spectra at random critical points
• Manifestations of dynamical localization in the disordered XXZ spin chain
• Multifractality at non-Anderson disorder-driven transitions in Weyl semimetals and other systems
• Quantum Hall criticality and localization in graphene with short-range impurities at the Dirac point
• On the local nature and scaling of chaos in weakly nonlinear disordered chains
• Universal scaling of spectral fluctuation transitions for interacting chaotic systems
• Multifractality and electron-electron interaction at Anderson transitions
• Spectral properties of Google matrix of Wikipedia and other networks
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Critical Behavior of a Strongly Disordered 2D Electron System: The Cases of Long-Range and Screened Coulomb Interactions
• Turbulence Hierarchy and Multifractality in the Integer Quantum Hall Transition
• Localization challenges quantum chaos in the finite two-dimensional Anderson model
• Deconfinement, chiral transition and localisation in a QCD-like model
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Scaling collapse of longitudinal conductance near the integer quantum Hall transition
• Hilbert space delocalization under random unitary circuits
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
• Glassy properties of Anderson localization: pinning, avalanches and chaos
• Tuning the phase diagram of a Rosenzweig-Porter model with fractal disorder
• Enhancement of critical temperatures in disordered bipartite lattices
• Role of Fock-space correlations in many-body localization
• Localization, phases and transitions in the three-dimensional extended Lieb lattices
• Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
• Coexistence of Localized and Extended States in Disordered Systems
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Transverse confinement of ultrasound through the Anderson transition in 3D mesoglasses
• Finite Cluster Typical Medium Theory for Disordered Electronic Systems
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Physical properties of an Aperiodic monotile: Graphene-like features, chirality and zero-modes
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Graphene with vacancies: supernumerary zero modes
• Sensitivity of (multi)fractal eigenstates to a perturbation of the Hamiltonian
• Probing multi-mobility edges in quasiperiodic mosaic lattices
• Surface transport coefficients for three-dimensional topological superconductors
• Lévy flights due to anisotropic disorder in graphene
• Correlated electrons in the presence of disorder
• Pure scaling operators at the integer quantum Hall plateau transition
• Quantum Multicriticality in Disordered Weyl Semimetal
• Stability of two-dimensional asymmetric materials with a quadratic band crossing point under four-fermion interaction and impurity scattering
• Anisotropy-mediated reentrant localization
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Multifractal dimensions for critical random matrix ensembles
• Metal-Insulator Transition and Emergent Gapped Phase in the Surface-Doped 2D Semiconductor 2H-MoTe${}_2$
• Multifractality in quasienergy space of coherent states as a signature of quantum chaos
• Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires
• Vacancy-induced low-energy states in undoped graphene
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Many-body Localization Transition in Rokhsar-Kivelson-type wave functions
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Effective versus Floquet theory for the Kerr parametric oscillator
• Random Cantor sets and mini-bands in local spectrum of quantum systems
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Signatures of a critical point in the many-body localization transition
• Numerical evidence for marginal scaling at the integer quantum Hall transition
• Delocalized charge carriers in strongly disordered t-J model
• Disorder perturbed Flat Bands II: a search for criticality
• Quantitative study of two- and three-dimensional strong localization of matter waves by atomic scatterers
• Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Metal-Insulator-Transition in a Weakly interacting Disordered Electron System
• Enhancing the effect of quantum many-body scars on dynamics by minimising the effective dimension
• Disorder-assisted excitation localization in chirally coupled quantum emitters
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Quantum localization measures in phase space
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Effective thermalization of a many-body dynamically localized Bose gas
• Quantum Hall transitions: An exact theory based on conformal restriction
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Quantum criticality in the disordered Aubry-André model
• Multifractality of the kicked rotor at the critical point of the Anderson transition
• Localization-delocalization transitions in a two-dimensional quantum percolation model: von Neumann entropy studies
• Building programable integrated circuits through disordered Chern insulators
• Statistical properties of the Green function in finite size for Anderson Localization models with multifractal eigenvectors
• Efficient Linear Scaling Approach for Computing the Kubo Hall Conductivity
• Quantum correlations of localized atomic excitations in a disordered atomic chain
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• Josephson effect in a Fibonacci quasicrystal
• Spectral analysis of Gene co-expression network of Zebrafish
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Localization with overlap fermions
• The Phase Transition in the Ultrametric Ensemble and Local Stability of Dyson Brownian Motion
• Finite-size scaling of the Shannon-Rényi entropy in two-dimensional systems with spontaneously broken continuous symmetry
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Metal-insulator transition in infinitesimally weakly disordered flatbands
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
• Two dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands
• Probing the metallic energy spectrum beyond the Thouless energy scale using the singular value decomposition
• Disorder-driven quantum transition in relativistic semimetals: functional renormalization via the porous medium equation
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Self-organized Limit Cycles in Red-detuned Atom-cavity Systems
• Anderson localization transition with long-ranged hoppings : analysis of the strong multifractality regime in terms of weighted Levy sums
• From eigenstate to Hamiltonian: Prospects for ergodicity and localization
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Phase coexistence at the first-order Mott-transition revealed by pressure-dependent dielectric spectroscopy of $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Random matrix theory for underwater sound propagation
• Topological transitions and Anderson localization of light in disordered atomic arrays
• Fully localized and partially delocalized states in the tails of Erdös-Rényi graphs in the critical regime
• Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties
• Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
• Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Competition between disorder and Coulomb interaction in a two-dimensional plaquette Hubbard model
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
• Dual Fermion Method for Disordered Electronic Systems
• Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems
• Control of a single-particle localization in open quantum systems
• Classical Chaos in Quantum Computers
• Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
• Metal oxide resistive switching: evolution of the density of states across the metal-insulator transition
• Probing the topological Anderson transition with quantum walks
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• Propagation of collective pair excitations in disordered Bose superfluids
• Fast Fourier-Chebyshev approach to real-space simulations of the Kubo formula
• Filling up complex spectral regions through non-Hermitian disordered chains
• An Anderson-like model of the QCD chiral transition
• Multifractality of random eigenfunctions and generalization of Jarzynski equality
• Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical Points
• Entanglement Features of Random Neural Network Quantum States
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Single-particle localization in dynamical potentials
• Localization-delocalization transition for disordered cubic harmonic lattices
• One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
• Dynamic scaling relation in quantum many-body systems
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Non-interacting central site model: localization and logarithmic entanglement growth
• Genuine localisation transition in a long-range hopping model
• Superradiance at the localization-delocalization crossover in tubular chlorosomes
• Statistics of the two-point transmission at Anderson localization transitions
• Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
• Quantum jumps on Anderson attractors
• A critical Dyson hierarchical model for the Anderson localization transition
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Flux mobility delocalization in the Kitaev spin ladder
• Localization landscape for Dirac fermions
• A local theory for Mott-Anderson localization
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Multifractal Magnetoconductance Fluctuations in Mesoscopic Systems
• Quantum signatures of classical multifractal measures
• Many-Body Localization Transition in Random Quantum Spin Chains with Long-Range Interactions
• Measurement-Induced Quantum Synchronization and Multiplexing
• Extended Anderson Criticality in Heavy-Tailed Neural Networks
• Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Quantum transport in chemically functionalized graphene at high magnetic field: Defect-Induced Critical States and Breakdown of Electron-Hole Symmetry
• Quantum boomerang effect for interacting particles
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Field theory of non-Hermitian disordered systems
• Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
• Chaos-Assisted Long-Range Tunneling for Quantum Simulation
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Subdiffusive light transport in three-dimensional subrandom arrays
• Anderson transition for elastic waves in three dimensions
• Towards Google matrix of brain
• Multifractality of quantum wave packets
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
• Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Self-similarity, Aboav-Weaire's and Lewis' laws in weighted planar stochastic lattice
• Colloquium: Synthetic quantum matter in non-standard geometries
• Topological phase transitions in the 1D multichannel Dirac equation with random mass and a random matrix model
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Anomalous Hall metals from strong disorder in class A systems on partite lattices
• Fragility of surface states in non-Wigner Dyson topological insulators
• Superconductivity in two-dimensional disordered Dirac semimetals
• Observation of subdiffusive dynamic scaling in a driven and disordered Bose gas
• Generalized eigenproblem without fermion doubling for Dirac fermions on a lattice
• Multifractality in the generalized Aubry-Andre quasiperiodic localization model with power-law hoppings or power-law Fourier coefficients
• Topological states in disordered arrays of dielectric nanoparticles
• Resolution of the exponent puzzle for the Anderson transition in doped semiconductors
• Spin memory of the topological material under strong disorder
• Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor
• Unusual Metal to Marginal-Metal Transition in Two-Dimensional Ferromagnetic Electron Gases
• Effective Number Theory: Counting the Identities of a Quantum State
• Nonlinear Hall effect on a disordered lattice
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• A numerical study of the localization transition of Aubry-André type models
• Super-Universality in Anderson Localization
• Electronic and Level Statistics Properties of Si/SiO2 Quantum Dots
• Dynamics of spectral correlations in the entanglement Hamiltonian of the Aubry-André-Harper model
• High-resolution real-space evaluation of the self-energy operator of disordered lattices: Gade singularity, spin-orbit effects and p-wave superconductivity
• Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering
• Disordered Quantum Spin Chains with Long-Range Antiferromagnetic Interactions
• The Fock-space landscape of many-body localisation
• Multifractality at the Weyl semimetal-diffusive metal transition for generic disorder
• Localization of disordered bosons and magnets in random fields
• Superconducting coupler with exponentially large on-off ratio
• Magnetic responses of randomly depleted spin ladders
• Liouville field theory and log-correlated Random Energy Models
• Observation of disorder-induced boundary localization
• Delocalization and scaling properties of low-dimensional quasiperiodic systems
• Entropy of entanglement and multifractal exponents for random states
• Poincaré recurrences and Ulam method for the Chirikov standard map
• Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
• Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction
• Quantum Hall criticality in Floquet topological insulators
• Localization, fractality, and ergodicity in a monitored qubit
• Identifying localized and spreading chaos in nonlinear disordered lattices by the Generalized Alignment Index (GALI) method
• Time-dependent reflection at the localization transition
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential
• Spectral statistics of a pseudo-integrable map: the general case
• Localized and propagating excitations in gapped phases of spin systems with bond disorder
• Metal-insulator transition in a 2D system of chiral unitary class
• Quantum walks on random lattices: Diffusion, localization and the absence of parametric quantum speed-up
• Quasidisorder Induced Topology
• Fractal Weyl law for Linux Kernel Architecture
• Localization transition in random Levy matrices : multifractality of eigenvectors in the localized phase and at criticality
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Persistent homology analysis of a generalized Aubry-André-Harper model
• Distribution of conductance for Anderson Insulators: A theory with a single parameter
• Third-order topological insulator induced by disorder
• Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Edge states versus diffusion in disordered graphene flakes
• Transition between localized and extended states in the hierarchical Anderson model
• Tunneling into the localized phase near Anderson transitions with Coulomb interaction
• Quantum Gibbs distribution from dynamical thermalization in classical nonlinear lattices
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• An attractive critical point from weak antilocalization on fractals
• Spectral statistics of Toeplitz matrices
• Scaling of von Neumann entropy at the Anderson transition
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Survival Probability of the Néel State in Clean and Disordered Systems: an Overview
• Enhanced quantum metric due to vacancies in graphene
• Temperature-driven gapless topological insulator
• Unconventional delocalization in a family of 3D Lieb lattices
• Distribution of velocities and acceleration for a particle in Brownian correlated disorder: inertial case
• Nonequilibrium DMFT+CPA for Correlated Disordered Systems
• Quantum percolation transition in 3d: density of states, finite size scaling and multifractality
• Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
• Visualizing the multifractal wavefunctions of a disordered two-dimensional electron gas
• Typical-medium, multiple-scattering theory for disordered systems with Anderson localization
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
• Anatomy of the eigenstates distribution: a quest for a genuine multifractality
• Statistical properties of structured random matrices
• Error analysis of free probability approximations to the density of states of disordered systems
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Anderson transition and mobility edges on hyperbolic lattices with randomly connected boundaries
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Quantum transport in a one-dimensional quasicrystal with mobility edges
• Many-body localization in one dimensional optical lattice with speckle disorder
• Diffusion in the Anderson model in higher dimensions
• Multifractality in random networks with power-law decaying bond strengths
• Quartic multifractality and finite-size corrections at the spin quantum Hall transition
• Exponential Orthogonality Catastrophe at the Anderson Metal-Insulator Transition
• Stability of Disordered Topological Superconducting Phases in Magnet--Superconductor Hybrid Systems
• Multifractality of open quantum systems
• Generalized multifractality at spin quantum Hall transition
• Fredholm Homotopies for Strongly-Disordered 2D Insulators
• Quantum subdiffusion with two- and three-body interactions
• Marginal CFT perturbations at the integer quantum Hall transition
• Dynamical mean-field theory of the Anderson-Hubbard model with local and non-local disorder in tensor formulation
• How to recognize the universal aspects of Mott criticality?
• Controlling the interactions in a cold atom quantum impurity system
• Phonon driven transport in amorphous semiconductors: Transition probabilities
• Criticality in Brownian ensembles
• Anomalous diffusion in the Long-Range Haken-Strobl-Reineker model
• Topological quantum criticality of the disordered Chern insulator
• Kibble-Zurek scaling in one-dimensional localization transitions
• Eigenvector Correlations Across the Localisation Transition in non-Hermitian Power-Law Banded Random Matrices
• Many-body Localization in Clean Chains with Long-Range Interactions
• Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
• Multifractality of many-body non-Hermitian skin effect
• Topological effect on the Anderson transition in chiral symmetry classes
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Stark localization near Aubry-André criticality
• Network model for higher-order topological phases
• Multifractality of quantum wave functions in the presence of perturbations
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• Beyond universal behavior in the one-dimensional chain with random nearest neighbor hopping
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Generalization of Chiral Symmetry for Tilted Dirac Cones
• Integer Quantum Hall Effect: Disorder, temperature, floating, and plateau width
• Fluctuations of the product of random matrices and generalized Lyapunov exponent
• Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
• Ergodic-localized junctions in periodically-driven systems
• ${\mathcal{L}}^2$ localization landscape for highly-excited states
• Entanglement conductance as a characterization of delocalized-localized phase transition in free fermion models
• Pseudogap and weak multifractality in disordered Mott charge-density-wave insulator
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Quantum walk and Anderson localization of rotational excitations in disordered ensembles of polar molecules
• The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies
• Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
• Competing Bose-Glass physics with disorder-induced Bose-Einstein condensation in the doped $S=1$ antiferromagnet Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at high magnetic fields
• Quantum percolation in quasicrystals using continuous-time quantum walk
• Dephasing catastrophe in $4-\epsilon$ dimensions: A possible instability of the ergodic (many-body-delocalized) phase
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
• Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
• Localized surfaces of three dimensional topological insulators
• The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation
• Intensity of waves inside a strongly disordered medium
• Eigenfunction statistics of Laguerre Brownian ensemble
• Electron-Electron Interactions in 2D Semiconductor InSe
• Disordered two-dimensional electron systems with chiral symmetry
• Anderson localization of walking droplets
• Many-Body Localization: Transitions in Spin Models
• Long-range spectral statistics of the Rosenzweig-Porter model
• Atomic excitation delocalization at the clean to disordered interface in a chirally-coupled atomic array
• A stabilization mechanism for many-body localization in two dimensions
• Fate of localization in coupled free chain and disordered chain
• Narrow depression in the density of states at the Dirac point in disordered graphene
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Absence of localization in two-dimensional Clifford circuits
• Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Localization effects on magnetotransport of a disordered Weyl semimetal
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Shiba Bound States across the mobility edge in doped InAs nanowires
• Sliding phase in randomly stacked 2D superfluids/superconductors
• Disordered O(n) Loop Model and Coupled Conformal Field Theories
• Dynamics of coherence, localization and excitation transfer in disordered nanorings
• Wave-particle Duality in Complex Quantum Systems
• Multifractality of ab initio wave functions in doped semiconductors
• Chern band insulators in magnetic field
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Fluctuation Spectrum of Critical Fermi Surfaces
• The non-stabilizerness of fermionic Gaussian states
• Photon pumping in a weakly-driven quantum cavity-spin system
• Level repulsion exponent $\beta$ for Many-Body Localization Transitions and for Anderson Localization Transitions via Dyson Brownian Motion
• Quantum criticality at the Anderson transition: a TMT perspective
• Diluted banded random matrices: Scaling behavior of eigenfunction and spectral properties
• Integrability of the diffusion pole in the diagrammatic description of noninteracting electrons in a random potential
• Quantum diffusion in two-dimensional random systems with particle-hole symmetry
• Anomalous levitation and annihilation in Floquet topological insulators
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Multifractality in the interacting disordered Tavis-Cummings model
• Classical route to ergodicity and scarring in collective quantum systems
• Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents
• Chaos-assisted tunneling in the presence of Anderson localization
• Polaronic quantum diffusion in dynamic localization regime
• Anderson attractors in active arrays
• Conformal Invariance and Multifractality at Anderson Transitions in Arbitrary Dimensions
• Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature
• Nonequilibrium charge transport through Falicov-Kimball structures connected to metallic leads
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Equivalence and superposition of real and imaginary quasiperiodicities
• Localization in random bipartite graphs: numerical and empirical study
• Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers
• Universality of Anderson transition in two-dimensional systems of symplectic symmetry class
• Cooper instability generated by attractive fermion-fermion interaction in the two-dimensional semi-Dirac semimetals
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Non-Hermitian Quantum Fractals
• Mesoscopic conductance fluctuations and noise in disordered Majorana wires
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Dissipation-induced first-order decoherence phase transition in a non-interacting fermionic system
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Scaling at chiral quantum critical points in two dimensions
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Extensibility of Hohenberg-Kohn Theorem to general quantum systems
• Localisation and finite-size effects in graphene flakes
• Superconductivity in a disordered metal with Coulomb interactions
• Statistics of Conductances and Subleading Corrections to Scaling near the Integer Quantum Hall Plateau Transition
• Generalized surface multifractality in 2D disordered systems
• Topological Boundary States in 1D: An Effective Fabry-Perot Model
• Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition
• Scale-free coordination number disorder and multifractal size disorder in weighted planar stochastic lattice
• Resonances of recurrence time of monitored quantum walks
• Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
• Quantum algorithms for disordered physics
• Critical States Generators from Perturbed Flatbands
• Scale-dependent theory of the disordered electron liquid
• Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
• Dynamical localization in non-Hermitian quasi-crystals
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Interplay of quantum and classical fluctuations near quantum critical points
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Beyond the universal Dyson singularity for 1-D chains with hopping disorder
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals
• Two-parameter scaling theory of the longitudinal magnetoconductivity in a Weyl metal phase: Chiral anomaly, weak disorder, and finite temperature
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Light propagation in a random three-dimensional ensemble of point scatterers in a waveguide: size-dependent switching between diffuse radiation transfer and Anderson localization of light
• Synthetic Random Flux Model in a periodically-driven optical lattice
• Finite-time scaling at the Anderson transition for vibrations in solids
• Localization length versus level repulsion in 1-D driven disordered quantum wires
• Crossover from quantum to classical transport
• Destruction of superconductivity in disordered materials : a dimensional crossover
• Identifying Majorana vortex modes via non-local transport
• Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
• Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization
• Bound state and Localization of excitation in many-body open systems
• Impurities and electronic localization in graphene bilayers
• Characterization of hybrid quantum eigenstates in systems with mixed classical phasespace
• Multifractal analysis of eigenvectors of smallworld networks
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• Level statistics and Anderson delocalization in two-dimensional granular materials
• Wannier-Stark localization in one-dimensional amplitude-chirped lattices
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Quantum Phase Transition in a Clean Two-Dimensional Electron System
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Many-body delocalization with random vector potentials
• Classical percolation fingerprints in the high-temperature regime of the integer quantum Hall effect
• Machine learning of phases and structures for model systems in physics
• Magnetic field effects on one-dimensional Anderson localization of light
• Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Quantum multifractality as a probe of phase space in the Dicke model
• Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current
• Universal hard-edge statistics of non-Hermitian random matrices
• Investigating finite-size effects in random matrices by counting resonances
• High-frequency vibrational density of states of a disordered solid
• Reentrant localization transition induced by a composite potential
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Fractal Surface States in Three-Dimensional Topological Quasicrystals
• Anderson transition for light in three dimensions
• Non-Gaussian effects and multifractality in the Bragg glass
• Renormalization group for Anderson localization on high-dimensional lattices
• Emergent multifractality in power-law decaying eigenstates
• Hartree-Fock study of an Anderson metal-insulator transition in the presence of Coulomb interaction: Two types of mobility edges and their multifractal scaling exponents
• Lifshitz tail states in non-Hermitian disordered photonic lattices
• Multifractality and the distribution of the Kondo temperature at the Anderson transition
• Random cascade models of multifractality : real-space renormalization and travelling-waves
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Controlling Anderson localization in disordered heterostructures with Lévy-type distribution
• On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes
• Localization of spin waves in disordered quantum rotors
• Metal-insulator transition in disordered systems from the one-body density matrix
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
• Critical scaling of polarization waves on a heterogeneous chain of resonators
• Probability of high intensities of the light wave propagating in turbulent atmosphere
• Multi-fractality of the entanglement Hamiltonian eigen-modes
• Renormalization Group Analysis of the Hierarchical Anderson Model
• Transport of Hubbard-Band Quasiparticles in Disordered Optical Lattices
• Chaos in fermionic many-body systems and the metal-insulator transition
• Phase transition in a Aubry-Andre system with rapidly oscillating magnetic field
• Real-Space Visualization of Quantum Phase Transition by Network Topology
• Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model
• Borel-Padé re-summation of the $\beta$-functions describing Anderson localisation in the Wigner-Dyson symmetry classes
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Generalized Survival Probability
• Random matrix model of Kolmogorov-Zakharov turbulence
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Disorder-Induced Strongly Correlated Photons in Waveguide QED
• Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
• Universal Characterization of Quantum Many-Body States through Local Information
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Spectral properties, localization transition and multifractal eigenvectors of the Laplacian on heterogeneous networks
• Critical dynamics of long-range quantum disordered systems
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
• Counting-Based Effective Dimension and Discrete Regularizations
• Entanglement entropy and localization in disordered quantum chains
• Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain
• Renormalization group analysis of Dirac fermions with random mass
• Fate of Algebraic Many-Body Localization under driving
• Barrier billiard and random matrices
• Localisation determines the optimal noise rate for quantum transport
• Universal principles of moiré band structures
• Many-body localization of 1D disordered impenetrable two-component fermions
• Ioffe-Regel criterion and viscoelastic properties of amorphous solids
• Coherent Forward Scattering Peak and Multifractality
• Van Hove bound states in the continuum: Localised subradiant states in finite open lattices
• Randomness-Assisted Exponential Hierarchies
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Non-Abelian gauge potential driven localization transition in quasiperiodic optical lattices
• Duality between disordered nodal semimetals and systems with power-law hopping
• Eigenvalue and Eigenvector Statistics in Time Series Analysis
• Many-body localization in Landau level subbands
• Statistical diagonalization of a random biased Hamiltonian: the case of the eigenvectors
• Operator Product Expansion in Liouville Field Theory and Seiberg type transitions in log-correlated Random Energy Models
• Flexural phonons in supported graphene: from pinning to localization
• Local Density of the Bose Glass Phase
• Husimi function and phase-space analysis of bilayer quantum Hall systems at $\nu =2/\lambda$
• Anderson Localization for Very Strong Speckle Disorder
• Localization due to interaction-enhanced disorder in bosonic systems
• Investigating disordered many-body system with entanglement in momentum space
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices
• Towards rigorous analysis of the Levitov-Mirlin-Evers recursion
• Multifractal analysis of electronic states on random Voronoi-Delaunay lattices
• The renormalization flow of the hierarchical Anderson model at weak disorder
• Dynamical symmetry breaking in a 2D electron gas with a spectral node
• Spin quantum Hall effect and plateau transitions in multilayer network models
• Scattering and transport statistics at criticality
• Phase transitions of wave packet dynamics in disordered non-Hermitian systems
• Symmetry classification of typical quantum entanglement
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Ring-localized states, radial aperiodicity and quantum butterflies on a Cayley tree
• Supervised and unsupervised learning of the many-body critical phase, phase transitions, and critical exponents in disordered quantum systems
• Fractal states of the Schwinger model
• Vertex corrections to the mean-field electrical conductivity in strongly disordered electron systems
• Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model
• How the site degree influences quantum probability on inhomogeneous substrates
• Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
• Universal scaling near band-tuned metal-insulator phase transitions
• Linear level repulsions near exceptional points of non-Hermitian systems
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Interplay of many-body interactions and quasiperiodic disorder in the all-band-flat diamond chain
• Surface quantum critical phenomena in disordered Dirac semimetals
• Partial preservation of chiral symmetry and colossal magnetoresistance in adatom doped graphene
• Green's functions on a renormalized lattice: An improved method for the integer quantum Hall transition
• "Rare" Fluctuation Effects in the Anderson Model of Localization
• Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Quantum Transports in Two-Dimensions with Long Range Hopping: Shielding, Localization and the Extended Isolated State
• Wiedemann-Franz laws and $Sl(2,\mathbb{Z})$ duality in AdS/CMT holographic duals and one-dimensional effective actions for them
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays
• Phase diagram and the strong-coupling fixed point in the disordered O(n) loop model
• Transport of Dirac electrons in a random magnetic field in topological heterostructures
• Effect of Hilbert space truncation on Anderson localization
• Anderson localization induced by structural disorder
• Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Accurate densities of states for disordered systems from free probability: Live Free or Diagonalize
• Early-Time and Late-Time Quantum Chaos
• Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Observation of geometry dependent conductivity in two-dimensional electron systems
• Quantum phase transitions and a disorder-based filter in a Floquet system
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
• Many-body localized to ergodic transitions in a system with correlated disorder
• Wave functions in the Critical Phase: a Planar \textit{Sierpiński} Fractal Lattice
• Localization measures of parity adapted U($D$)-spin coherent states applied to the phase space analysis of the $D$-level Lipkin-Meshkov-Glick model
• Optical response in Weyl semimetal in model with gapped Dirac phase
• Mobility edge of two interacting particles in three-dimensional random potentials
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Scaling of critical wavefunctions at topological Anderson transitions in 1D
• Mode Delocalization in Disordered Photonic Chern Insulator
• Theory of metal-insulator transitions in graphite under high magnetic field
• Relevant perturbations at the spin quantum Hall transition
• Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Hammerstein equations for sparse random matrices
• An exactly solvable model for Dynamic Nuclear polarization
• Interpretation of high-dimensional numerical results for Anderson transition
• Characteristic polynomials for random band matrices near the threshold
• Anti-Localization in Oxides: Effective Spin-3/2 Model
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Critical behavior at the integer quantum Hall transition in a network model on the Kagome lattice
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
• Reversible modulation of metal-insulator transition in VO2 via chemically-induced oxygen migration
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping
• Low-Dimensional Life of Critical Anderson Electron
• Wavefunction extreme value statistics in Anderson localization
• Disordered Graphene Ribbons as Topological Multicritical Systems
• Localization landscape for interacting Bose gases in one-dimensional speckle potentials
• Beta-functions of non-linear $\sigma$-models for disordered and interacting electron systems
• Dynamical quantum phase transitions in Stark quantum spin chains
• Irrelevant corrections at the quantum Hall transition
• Many-body localization of ${\mathbb{Z}}_3$ Fock parafermions
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Comment on "Super-universality in Anderson localization"
• Perturbative Analysis of Quasi-periodic Patterning of Transmon Quantum Computers: Enhancement of Many-Body Localization
• Anderson transitions : multifractal or non-multifractal statistics of the transmission as a function of the scattering geometry
• Relaxation of imbalance in a disordered XX model with on-site dephasing
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Suppression of one-dimensional weak localization by band asymmetry
• The One-dimensional Chiral Anomaly and its Disorder Response
• Topological zero-modes of the spectral localizer of trivial metals
• Extended states in one-dimensional aperiodic lattices with linearly varying patches
• Multifractal Properties of Tribonacci Chains
• Characterizing quantum chaoticity of kicked spin chains
• Universal stability of coherently diffusive 1D systems with respect to decoherence
• Level number variance and spectral compressibility in a critical two-dimensional random matrix model
• Multifractal analysis of the electronic states in the Fibonacci superlattice under weak electric fields
• Non-Hermitian off-diagonal disordered optical lattices
• Fractal x-ray edge problem at the critical point of the Aubry-André model
• Effective delocalization in the one-dimensional Anderson model with stealthy disorder
• Nonlocal correlations of the local density of states in disordered quantum Hall systems
• Density Wave States in the Presence of an External Magnetic Field
• Log-correlated Random Energy Models with extensive free energy fluctuations: pathologies caused by rare events as signatures of phase transitions
• Quantum logarithmic multifractality
• Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocomposites
• Spectral description of the dynamics of ultracold interacting bosons in disordered lattices
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Study of the localization-delocalization transition for phonons via transfer matrix method techniques
• A Floquet analysis perspective of driven light-matter interaction models
• Multifractality in monitored single-particle dynamics
• Anderson Metal-Insulator Transitions With Classical Magnetic Impurities
• The integer quantum Hall transition: an $S$-matrix approach to random networks
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
• Dynamics of Anderson localization in disordered wires
• Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Disordered cold atoms in different symmetry classes
• An oscillating Casimir potential between two impurities in a spin-orbit coupled Bose-Einstein condensate
• Scaling Theory of a Compressibility-Driven Metal-Insulator Transition in a Two-Dimensional Electron Fluid
• Local Density of States Correlations in the Lévy-Rosenzweig-Porter random matrix ensemble
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Spin-dependent localization of spin-orbit and Rabi-coupled Bose-Einstein condensates in a random potential
• Anderson localization of Bogoliubov excitations on quasi-1D strips
• Eigenvalue spectral tails and localization properties of asymmetric networks
• Time-domain interferometry of electron weak localization through terahertz nonlinear response
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Scaling analysis and renormalization group on the mobility edge in the quantum random energy model
• Transport via classical percolation at quantum Hall plateau transitions
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Kosterlitz-Thouless transition in disordered two-dimensional topological insulators
• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model
• Localization properties of one-dimensional speckle potentials in a box
• Impact of disorder and phonons on the Hubbard bands of Mott insulators in strong electric fields
• Stability of topologically protected slow light against disorder
• Topology of ultra-localized insulators and superconductors
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Localization in periodically modulated speckle potentials
• Lattice models with long-range and number-non-conserving interactions with Zeeman excitations of ultracold magnetic atoms
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• Enhanced wave localization in multifractal scattering media
• Disorder Suppression in Topological Semiconductor-Superconductor Junctions
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Out-of-equilibrium one-dimensional disordered dipole chain
• Subsystem localization in a two-leg ladder system
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Strong localization in a suspended monolayer graphene by intervalley scattering
• Random lasing from Anderson attractors
• Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
• Criticality without self-similarity: a 2D system with random long-range hopping
• Multi-multifractality and dynamic scaling in stochastic porous lattice
• Quantum $k$-core conduction on the Bethe lattice
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Anisotropy of localized states in an anisotropic disordered medium
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Topological Dimensions from Disorder and Quantum Mechanics?
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Quantum Hall criticality in an amorphous Chern insulator
• A re-formulization of the transfer matrix method for calculating wave-functions in higher dimensional disordered open systems
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Phenomenological theory of nonergodic phenomena in dipole- and spin-glasses
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Quantum transition between magnetically ordered and Mott glass phases
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Phase classification in the long-range Harper model using machine learning
• Two parameter scaling in the crossover from symmetry class BDI to AI
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Anderson localization without eigenstates in photonic quantum walks
• Band-center metal-insulator transition in bond-disordered graphene
• Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
• Localization properties of a two-channel 3D Anderson model
• Quantum Coulomb glass on the Bethe lattice
• Boltzmann electronic dc transport in multiorbital weakly-disordered crystals
• Localization and slow-thermalization in a cluster spin model
• Disordered impenetrable two-component fermions in one dimension
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Memory effects in the density-wave imbalance in delocalized disordered systems
• Seeing Quantum Fractals
• A functional renormalization group approach to electronic structure calculations for systems without translational symmetry
• Non-Rayleigh signal of interacting quantum particles
• Cooperative photon emission rates in random atomic clouds
• Multiscaling in the 3D critical site-diluted Ising ferromagnet
• Extended critical phase in quasiperiodic quantum Hall systems
• Nature of single-particle states in disordered graphene
• Critical quantum dynamics of observables at eigenstate transitions
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Spectral Multifractality and Emergent Energyscales Across the Many-Body Localisation Transition
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity
• Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Anderson transition for Google matrix eigenstates
• Making s-wave superconductors topological with magnetic field
• Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
• Multifractality in the fidelity of the Toffoli gate
• Pedestrian fluxes in confined geometric networks: entropic measures and robustness of accessibility in a university campus
• Experimental observation of exact quantum critical states
• Power-law banded random matrix ensemble as a model for quantum many-body Hamiltonians
• Classes of non-Gaussian random matrices: long-range eigenvalue correlations and non-ergodic extended eigenvectors
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• Emergent fractals in dirty topological crystals
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Multifractality in high-dimensional graphs induced by correlated radial disorder
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach
• Statistical properties of power-law random banded unitary matrices in the delocalization-localization transition regime
• Spatial Coherence of a polariton condensate in 1D acoustic lattice
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition
• Localized Floquet modes in arrays of out-of-phase curved waveguides with a quasiperiodic modulation
• Localization effects from local phase shifts in the modulation of waveguide arrays
• Unfolding a composed ensemble of energy spectra using singular value decomposition
• Anosov-Katok constructions for quasi-periodic $\mathrm{SL}(2,R)$ cocycles
• Multifractality in aperiodic quantum spin chains
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Superbosonization in disorder and chaos: The role of anomalies
• Diverging conductance at the contact between random and pure quantum XX spin chains
• Spin excitations in systems with hopping electron transport and strong position disorder in a large magnetic field
• Diffusion at the Surface of Topological Insulators
• Localisation and transport in bidimensional random models with separable Hamiltonians
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Crossover from renormalized to conventional diffusion near the 3D Anderson localization transition for light
• Family of self-dual quasicrystals with critical Phases
• Quantum Hall Effect without Chern Bands
• Holographic nature of critical quantum states of proteins
• Killing the Hofstadter butterfly, one bond at a time
• Analysis of localization-delocalization transitions in corner-sharing tetrahedral lattices
• Reentrant localization in a quasiperiodic chain with correlated hopping sequences
• Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models
• Self-consistent T-matrix approach to Bose-glass in one dimension
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• Influence of structural disorder and Coulomb interactions in the superconductor-insulator transition applied to boron doped diamond
• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
• Quantum transitions from superfluid to insulating phases in disordered Bose systems
• Short-Time Loschmidt Gap in Dynamical Systems with Critical Chaos
• Density of reflection resonances in one-dimensional disordered Schrödinger operators
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Isotropic 3D topological phases with broken time reversal symmetry
• Two-particle excitations under coexisting electron interaction and disorder
• Level statistics for quantum $k$-core percolation
• Cross-Over between universality classes in a magnetically disordered metallic wire
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Anomalous impurity-induced charge modulations in black phosphorus
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
• Anderson localisation in spatially structured random graphs
• Recent progress on disorder-induced topological phases
• Dynamics of bright solitons and soliton arrays in the nonlinear Schrodinger equation with a combination of random and harmonic potentials
• Dynamical thermalization and turbulence in social stratification models
• The $D_3^{(2)}$ spin chain and its finite-size spectrum
• Localization Properties of a Disordered Helical Chain
• Quantum Fractality on the Surface of Topological Insulators
• Modal complexity as a metric for Anderson localization
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models
• Anderson localization and Supersymmetry
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Anderson localization at large disorder
• Numerical methods for localization
• Random Magnetic Field and the Dirac Fermi Surface
• Comment on "Reentrant Localization Transition in a Quasiperiodic Chain"
• Inhomogeneous Fixed Point Ensembles Revisited
• Critical behavior of the specific heat in Ti-Si amorphous alloys at the metal-insulator transition
• Characterizing the delocalized-localized Anderson phase transition based on the system's response to boundary conditions
• Formation of superscar waves in plane polygonal billiards
• Localization and delocalization in one-dimensional systems with translation-invariant hopping
• Some mathematical aspects of Anderson localization: boundary effect, multimodality, and bifurcation
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Photonic Simulation of Localization Phenomena Using Boson Sampling
• Diffusion, Long-Time Tails, and Localization in Classical and Quantum Lorentz Models: A Unifying Hydrodynamic Approach
• Disorder-induced delocalization and reentrance in a Chern-Hopf insulator
• Investigating Stark many-body localization with continuous unitary transformation flows
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Symmetry and Topology of Monitored Quantum Dynamics
• Quantum transport under oscillatory drive with disordered amplitude
• Higher-order localization landscape theory of Anderson localization
• Multifractality and quantum diffusion from self-consistent theory of localization
• Two-strand ladder network variants: localization, multifractality, and quantum dynamics under an Aubry-André-Harper kind of quasiperiodicity
• Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
• Markov Inequality as a Tool for Linear-Scaling Estimation of Local Observables
• Topological transition induced by selective random defects on a honeycomb lattice
• Spectral properties of three-dimensional Anderson model
• Enhanced spin Hall effect in strong magnetic disorder
• Magnetic instability and spin-glass order beyond the Anderson-Mott transition in interacting power-law random banded matrix fermions
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Crystalline Spectral Form Factors
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
• Hyperfine interaction in atomically thin transition metal dichalcogenides
• Information Bounds on phase transitions in disordered systems
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation
• Dipole trap model for the metallic state in gated silicon-inversion layers
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Localization and fractality in disordered Russian Doll model
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Disordered Parity Anomalous Semimetal
• Boundary critical behavior of the Gross-Neveu-Yukawa model
• Extreme-Value Criticality and Gain Decomposition at the Integer Quantum Hall Transition
• Robust Correlation-Induced Localization Under Time-Reversal Symmetry Breaking
• Finite-size scaling properties of classical random walk on various two-dimensional lattices
• Identifying mobility edge from finite temperature spectral form factor
• Quantum Boomerang Effect in Time-Crystalline Structures
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices
• Metal-Insulator Coexistence and Gap-Crossing Domain-Wall Modes in an Aubry-André Model with Nonlocal Hopping
• q-Gaussian Crossover in Overlap Spectra towards 3D Edwards-Anderson Criticality
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling
• Disorder averaging in random lattice models with periodic boundary conditions: Application to models with uncorrelated and correlated disorder
• Spectroscopic evidence of disorder-induced quantum phase transitions in monolayer Fe(Te,Se) superconductor
• Half metals at intermediate energy scales in Anderson-type insulators
• Disordered statistical physics in low dimensions: extremes, glass transition, and localization
• Topological edge states and disorder robustness in one-dimensional off-diagonal mosaic lattices
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Fidelity plateaus from correlated noise in isolated few-level quantum systems
• Virial expansion of the non-linear sigma model in the strong coupling limit
• Volume-law entanglement entropy of typical pure quantum states
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Path Counting on Tree-like Graphs with a Single Entropic Trap: Critical Behavior and Finite Size Effects
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Evolution of grammatical forms: some quantitative approaches
• Measurement resolution enhanced coherence for lattice fermions
• Relaxation mechanisms in a disordered system with the Poisson level statistics
• Phase Transitions and Critical Behavior in Quasi-One-Dimensional Two-Channel Systems with Quasiperiodic Disorder
• Quantum walkers in a disordered lattice with power-law hopping
• Internal wave crystals
• Solvable random matrix ensemble with a logarithmic weakly confining potential
• On the initial value of PageRank
• Observation of multifractality of light in prime number arrays
• 2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
• Adiabatic Dynamics of Entanglement
• Scaling Theory of Few-Particle Delocalization
• Critical Dynamics of the Anderson Transition on Small-World Graphs
• Rashba Spin-Orbit Coupling and Nonlocal Correlations in Disordered 2D Systems
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
• Universal fluctuations of localized two interacting particles in one dimension
• Gaplessness from disorder and quantum geometry in gapped superconductors
• Quantum phase coherence in non-Markovian and reaction-diffusive transport
• Critical States of Fermions with ${\mathbb{Z}}_2$ Flux Disorder
• Universal transition of spectral fluctuation in particle-hole symmetric system
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Electron transport in a weakly disordered Weyl semimetal
• Universal Relation between Spectral and Wavefunction Properties at Criticality
• Can a quantum critical state represent a blackbody?
• On the extremal spectral properties of random graphs
• Effects of critical correlations on quantum percolation in two dimensions
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions
• Disorder and Interactions in Graphene and other Quantum Systems
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables
• Unsupervised Techniques to Detect Quantum Chaos
• Efficient detection of localization transitions using predictability
• Large Disorder Renormalization Group Study of the Anderson Model of Localization
• Supermetal-insulator transition in a non-Hermitian network model
• Observation of gapless collective charge fluctuations in an Anderson insulating state
• Conductivity scaling and absence of localization in disordered nodal line semimetals
• Lattice-induced wavefunction effects on trapped superfluids
• Effects of dilution in a 2D topological magnon insulator
• Localization and topological signatures under periodic twisting
• Localization with non-Hermitian off-diagonal disorder
• Quantum Critical Dynamics Induced by Topological Zero Modes
• Anderson localization: a density matrix approach
• The impact of dimensionality on universality of quantum Hall transitions
• Quantum localization in incommensurate tight-binding chains
• Electrons flow like falling cats: Deformations and emergent gravity in quantum transport
• Deconfinement of classical Yang-Mills color fields in a disorder potential
• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos
• Exact mobility edges in a slowly varying quasiperiodic ladder model
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• Multifractal correlations of the local density of states in dirty superconducting films
• Enhancement of the superconducting transition temperature from the competition between electron-electron correlations and electron-phonon interactions
• Engineering Anderson Localization in Arbitrary Dimensions with Interacting Quasiperiodic Kicked Bosons
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene
• Many-body spectral transitions through the lens of the variable-range SYK2 model
• Non-linear sigma models on constant curvature target manifolds: a functional renormalization group approach
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• Realizing Unitary $k$-designs with a Single Quench
• Statistical properties of two-particle transmission at Anderson transition
• Exact Mobility Edges in One-Dimensional Mosaic Lattices Inlaid with Slowly Varying Potentials
• Dephasing-induced Quantum Hall Criticality in the Quantum Anomalous Hall system