Scaling Theory of the Integer Quantum Hall Effect

Abstract

The scaling theory of the transitions between plateaus of the Hall conductivity in the integer Quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in strong magnetic fields the transitions are disorder-induced localization-delocalization transitions. While experimental and analytical approaches are surveyed, the main emphasis is on numerical studies, which successfully describe the experiments. The theoretical models for disordered systems are described in detail. An overview of the finite-size scaling theory and its relation to Anderson localization is given. The field-theoretical approach to the localization problem is outlined. Numerical methods for the calculation of scaling quantities, in particular the localization length, are detailed. The properties of local observables at the localization-delocalization transition are discussed in terms of multifractal measures. Finally, the results of extensive numerical investigations are compared with experimental findings.

96 pages, REVTeX 3, 28 figures, Figs. 8-24, 26-28 appended as uuencoded compressed tarred PostScript files. Submitted to Rev. Mod. Phys.

References in corpus (7)

• Mutifractal Analysis of Broadly Distributed Observables at Criticality
• Relation between the Correlation Dimensions of Multifractal Wavefunctions and Spectral Measures in Integer Quantum Hall Systems
• A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
• The Effects of Electron-Electron Interactions on the Integer Quantum Hall Transitions
• Towards a theory of the integer quantum Hall transition: from the nonlinear sigma model to superspin chains
• Corrections to Scaling in the Integer Quantum Hall Effect
• The Quantum Hall Effect in Drag: Inter-layer Friction in Strong Magnetic Fields

Cited by in corpus (451)

• Random-Matrix Theory of Quantum Transport
• Anderson Transitions
• Robust optical delay lines via topological protection
• Continuous Quantum Phase Transitions
• Quantum phase transitions
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Colloquium: Quantum anomalous Hall effect
• A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
• Non-zero temperature transport near quantum critical points
• Corrections to scaling at the Anderson transition
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• Multifractality and critical fluctuations at the Anderson transition
• The microscopic nature of localization in the quantum Hall effect
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Metal-to-Insulator Switching in Quantum Anomalous Hall States
• Visualization of superparamagnetic dynamics in magnetic topological insulators
• Subsurface charge accumulation imaging of a quantum Hall liquid
• Critical exponent for the quantum Hall transition
• Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with Anderson Localization Model
• Localization in a quantum spin Hall system
• Chiral Surface States in the Bulk Quantum Hall Effect
• Experimental signature of parity anomaly in semi-magnetic topological insulator
• Theory of Anomalous Quantum Hall Effects in Graphene
• Universal Scaling of Quantum Anomalous Hall Plateau Transition
• The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Optical Hall conductivity in ordinary and graphene QHE systems
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Delocalization Transition via Supersymmetry in one Dimension
• Quantum Hall plateau transitions in disordered superconductors
• Observation of the zero Hall plateau in a quantum anomalous Hall insulator
• Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
• A New Transport Regime in the Quantum Hall Effect
• Gravity Dual of a Quantum Hall Plateau Transition
• Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
• Effect of Disorder in a Three-Dimensional Layered Chern Insulator
• Metal-insulator transitions and the effects of electron-electron interactions in two-dimensional electron systems
• Criticality in the two-dimensional random-bond Ising model
• Anderson localization due to random magnetic field in two dimensions
• Electronic transport and the localization length in the quantum Hall effect
• Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian
• Coherent and dissipative dynamics at quantum phase transitions
• Entanglement Entropy of Non Unitary Conformal Field Theory
• A different view of the quantum Hall plateau-to-plateau transitions
• Interaction-induced delocalization of two particles in a random potential: Scaling properties
• Floating of Extended States and Localization Transition in a Weak Magnetic Field
• Multifractality of wavefunctions at the quantum Hall transition revisited
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Quantum Hall effect in a one-dimensional dynamical system
• Topological Weaire-Thorpe models of amorphous matter
• The Effects of Electron-Electron Interactions on the Integer Quantum Hall Transitions
• Ballistic transport in disordered graphene
• Theory of dissipationless Nernst effects
• Hopping conductivity in the quantum Hall effect -- revival of universal scaling
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Suppression of chaotic dynamics and localization of two-dimensional electrons by a weak magnetic field
• Toward a theory of the integer quantum Hall transition: continuum limit of the Chalker-Coddington model
• The nature of localization in graphene under quantum Hall conditions
• Nonzero temperature transport near fractional quantum Hall critical points
• Quantum Hall fluctuations and evidence for charging in the quantum Hall effect
• Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
• Charge Localization in Disordered Colossal-Magnetoresistance Manganites
• Finite Size Effects and Irrelevant Corrections to Scaling near the Integer Quantum Hall Transition
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Disordered Critical Wave functions in Random Bond Models in Two Dimensions -- Random Lattice Fermions at $E=0$ without Doubling
• Numerical estimation of the $\beta$-function in 2D systems with spin-orbit coupling
• Intrinsic and extrinsic decay of edge magnetoplasmons in graphene
• Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum Hall effect
• Universal Multifractality in Quantum Hall Systems with Long-Range Disorder Potential
• Marginal Anderson localization and many body delocalization
• Scaling of the quantum-Hall plateau-plateau transition in graphene
• Many-body localization in incommensurate models with a mobility edge
• Quantum Hall effect at low magnetic fields
• Semiclassical theory of transport in a random magnetic field
• Conductance fluctuations at the integer quantum Hall plateau transition
• Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
• Entanglement entropy and multifractality at localization transitions
• High Temperature Expansion Study of the Nishimori multicritical Point in Two and Four Dimensions
• Dimensional dependence of the metal-insulator transition
• Landau Level Mixing and Levitation of Extended States in Two Dimensions
• Quantized anomalous Hall resistivity achieved in molecular beam epitaxy-grown MnBi2Te4 thin films
• Magnetic properties of Sr_2Fe_1+xMo_1-xO_6 with -1 <= x <= 0.25
• Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
• Surface criticality and multifractality at localization transitions
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Short-Range Interactions and Scaling Near Integer Quantum Hall Transitions
• Imaging Transport Resonances in the Quantum Hall Effect
• Derivation of the Semi-circle Law from the Law of Corresponding States
• Anderson localization and the topology of classifying spaces
• Localization and conductance fluctuations in the integer quantum Hall effect: Real--space renormalization group approach
• Quantum Hall - insulator transitions in lattice models with strong disorder
• The random magnetic flux problem in a quantum wire
• Critical Casimir Effect: Exact Results
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• Non-Universal Behavior of Finite Quantum Hall Systems as a Result of Weak Macroscopic Inhomogeneities
• Topological Insulator in the Presence of Spatially Correlated Disorder
• Non-linear Hall Effects: Mechanisms and Materials
• Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
• Hall Resistivity and Dephasing in the Quantum Hall Insulator
• Planar Hall effect in topological Weyl and nodal line semimetals
• Disordered Dirac Fermions: the Marriage of Three Different Approaches
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Wave function multifractality and dephasing at metal-insulator and quantum Hall transitions
• Wave function statistics and multifractality at the spin quantum Hall transition
• Termination of Multifractal Behaviour for Critical Disordered Dirac Fermions
• $f(\alpha )$ Multifractal spectrum at strong and weak disorder
• Quasiparticle Interference Studies of Quantum Materials
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
• High Frequency Conductivity in the Quantum Hall Regime
• Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity
• Giant spin-orbit splitting in inverted InAs/GaSb double quantum wells
• Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Boundary criticality and multifractality at the 2D spin quantum Hall transition
• Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
• Localization in the quantum Hall regime
• Wave-packet dynamics at the mobility edge in two- and three-dimensional systems
• AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
• Dynamical scaling of the quantum Hall plateau transition
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Effects of random domains on the zero Hall plateau in quantum anomalous Hall effect
• Magic-Angle Semimetals with Chiral Symmetry
• Topological phase transitions in glassy quantum matter
• Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable range hopping transition with Graphene
• Alternative Technique for "Complex" Spectra Analysis
• Integer quantum Hall transition on a tight-binding lattice
• In-Plane Magnetic-Field-Induced Quantum Anomalous Hall Plateau Transition
• Topological quantum phase transition in magnetic topological insulator upon magnetization rotation
• Real Space Renormalization of the Chalker-Coddington Model
• Crossover from the chiral to the standard universality classes in the conductance of a quantum wire with random hopping only
• Scaling Behavior of the Quantum Phase Transition from a Quantum Anomalous Hall Insulator to an Axion Insulator
• The effects of weak disorders on Quantum Hall critical points
• Two scenarios for quantum multifractality breakdown
• Localization length exponent in two models of quantum Hall plateau transitions
• Anderson transition in the three dimensional symplectic universality class
• Multifractality at the spin quantum Hall transition
• Piezoelectricity and Topological Quantum Phase Transitions in Two-Dimensional Spin-Orbit Coupled Crystals with Time-Reversal Symmetry
• Finite Size Scaling Analysis of the Anderson Transition
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Metallic phase of the quantum Hall effect in four-dimensional space
• Boundary multifractality in critical 1D systems with long-range hopping
• Extracting Critical Exponent by Finite-Size Scaling with Convolutional Neural Networks
• Feynman's Propagator Applied to Network Models of Localization
• Multifractal wave functions of simple quantum maps
• Phase Diagram of Integer Quantum Hall Effect
• Multifractality and intermediate statistics in quantum maps
• Single-Particle Mobility Edge without Disorder
• Quantum transport properties of two-dimensional electron gases under high magnetic fields
• Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux
• Magnetic-field-induced dimensional crossover in the organic metal $\alpha$-(BEDT-TTF)${}_2$KHg(SCN)${}_4$
• Point-Contact Conductances from Density Correlations
• Termination of typical wavefunction multifractal spectra at the Anderson metal-insulator transition: Field theory description using the functional renormalization group
• Longitudinal interlayer magnetoresistance in quasi-2D metals
• Coherent tunnelling across a quantum point contact in the quantum Hall regime
• Microscopics of disordered two-dimensional electron gases under high magnetic fields: Equilibrium properties and dissipation in the hydrodynamic regime
• Chalker scaling, level repulsion, and conformal invariance in critically delocalized quantum matter: Disordered topological superconductors and artificial graphene
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Universality in an integer Quantum Hall transition
• Topological and conventional phases of a three dimensional electron glass
• Power-law Localization in 2D, 3D with Off-diagonal Disorder
• Anomalous multifractality in quantum chains with strongly correlated disorder
• Topological Random Fractals
• Spectral Statistics in Chiral-Orthogonal Disordered Systems
• Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
• A unifying model for several two-dimensional phase transitions
• Ballistic-Ohmic quantum Hall plateau transition in graphene pn junction
• Chiral Metal as a Ferromagnetic Super Spin Chain
• Duality Near Quantum Hall Transitions
• Random network models with variable disorder of geometry
• Multifractality of Hamiltonians with power-law transfer terms
• Conductance Correlations Near Integer Quantum Hall Transitions
• Renormalization group approach to energy level statistics at the integer quantum Hall transition
• Chiral Interface States and Related Quantized Transport in Disordered Chern Insulators
• High-temperature quantum Hall effect in finite gapped HgTe quantum wells
• Semi-Poisson statistics in quantum chaos
• Non-Abelian bosonization and modular transformation approach to superuniversality
• Compressibility stripes for mesoscopic quantum Hall samples
• Fractional Chern insulators with a non-Landau level continuum limit
• The ampere and the electrical units in the quantum era
• Integrable random matrix ensembles
• Localization as an entanglement phase transition in boundary-driven Anderson models
• Theory for magnetic-field-driven 3D metal-insulator transitions in the quantum limit
• Puddle-induced resistance oscillations in the breakdown of the graphene quantum Hall effect
• Random Matrices with Correlated Elements: A Model for Disorder with Interactions
• Quantum Hall ice
• Turbulence Hierarchy and Multifractality in the Integer Quantum Hall Transition
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Localization length at the resistivity minima of the quantum Hall effect
• Dynamical scaling at the quantum Hall transition: Coulomb blockade versus phase breaking
• Localization length index in a Chalker-Coddington model: a numerical study
• Logarithmic operators and logarithmic conformal field theories
• Metal-insulator transition in two-dimensional disordered systems with power-law transfer terms
• Critical behavior of two-dimensional random hopping fermions with π-flux
• On the Implications of Discrete Symmetries for the Beta Function of Quantum Hall Systems
• Scaling collapse of longitudinal conductance near the integer quantum Hall transition
• Quantum-Hall to Insulator Transition in Ultra-low-carrier-density Topological Insulator Films and a Hidden Phase of the Zeroth Landau Level
• Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
• Phase transition and anomalous scaling in the quantum Hall transport of topological insulator Sn-Bi1.1Sb0.9Te2S devices
• Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems
• Hall plateau diagram for the Hofstadter butterfly energy spectrum
• An integrable modification of the critical Chalker-Coddington network model
• Integer quantum Hall transition in a $\text{fraction}$ of a Landau level
• Signatures of spin in the n=1/3 Fractional Quantum Hall Effect
• Chiral Metal as a Heisenberg Ferromagnet
• Numerical evidence for marginal scaling at the integer quantum Hall transition
• Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants
• Quantum critical behaviour of the plateau-insulator transition in the quantum Hall regime
• Materials considerations for forming the topological insulator phase in InAs/GaSb heterostructures
• Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Localization and Metal-Insulator Transition in Multi-Layer Quantum Hall Structures
• Correlated quantum percolation in the lowest Landau level
• Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder
• Building programable integrated circuits through disordered Chern insulators
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Liouvillian Approach to the Integer Quantum Hall Effect Transition
• Bond-disordered Anderson model on a two dimensional square lattice - chiral symmetry and restoration of one-parameter scaling
• Geometric scaling in the quantum Hall system
• Quantum Hall Valley Nematics
• Anderson transition in systems with chiral symmetry
• Scaling near random criticality in two-dimensional Dirac fermions
• Chaotic Quantum Transport near the Charge Neutrality Point in Inverted Type-II InAs/GaSb Field-Effect Transistors
• Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
• Multifractality of the quantum Hall wave functions in higher Landau levels
• Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
• Dynamic scaling relation in quantum many-body systems
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Anderson localization in fractional quantum Hall effect
• Conductance fluctuations at the quantum Hall plateau transition
• Quantum Breakdown of the Quantized Hall Insulator
• Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
• Field theory of non-Hermitian disordered systems
• The Quantum Hall Effect in the Absence of Disorder
• $\Gamma (2)$ modular symmetry, renormalization, group flow and the quantum Hall effect
• Quantum Hall plateau transition in the lowest Landau level of disordered graphene
• Fragility of surface states in non-Wigner Dyson topological insulators
• Disorder-induced topological quantum phase transitions in multi-gap Euler semimetals
• Electron correlations and single-particle physics in the Integer Quantum Hall Effect
• Experimental Studies of Scaling Behavior of a Quantum Hall System with a Tunable Landau Level Mixing
• Quantum Hall Criticality, Superconductor-Insulator Transition and Quantum Percolation
• Multifractality of quantum wave packets
• Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor
• Internal Excitations and Dissipative Damping of Quantum Hall Skyrmions
• Current scaling of the topological quantum phase transition between a quantum anomalous Hall insulator and a trivial insulator
• Unusual Metal to Marginal-Metal Transition in Two-Dimensional Ferromagnetic Electron Gases
• Properties of A Class of Topological Phase Transition
• Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction
• On the theory of plateau-plateau transitions in Quantum Hall Effect
• Dynamical scaling analysis of the optical Hall conductivity in the quantum Hall regime
• Quantum Hall network models as Floquet topological insulators
• Anderson Localization and Quantum Hall Effect: Numerical Observation of Two Parameter Scaling
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
• Bilayer splitting versus Fermi-surface warping as an origin of slow oscillations of in-plane magnetoresistance in rare-earth tritellurides
• High frequency conductivity in the quantum Hall effect
• Directed polymer in a random medium of dimension 1+3 : multifractal properties at the localization/delocalization transition
• Conductance distributions in disordered quantum spin-Hall systems
• Scaling of von Neumann entropy at the Anderson transition
• Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals
• A fresh look at the influence of gravity on the quantum Hall effect
• Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
• Landau level broadening, hyperuniformity, and discrete scale invariance
• A Holographic Model of Quantum Hall Transition
• Crossover from the weak to strong-field behavior of the longitudinal interlayer magnetoresistance in quasi-two-dimensional conductors
• Anomalously localized states and multifractal correlations of critical wavefunctions in two-dimensional electron systems with spin-orbital interactions
• The key role of smooth impurity potential in formation of hole spectrum for p-Ge/Ge_{1-x}Si_x heterostructures in the quantum Hall regime
• A New Spin-Orbit Induced Universality Class in the Quantum Hall Regime ?
• Disordered Electrons in a Strong Magnetic Field: Transfer Matrix Approaches to the Statistics of the Local Density of States
• Quantum-Hall physics and three dimensions
• Marginal CFT perturbations at the integer quantum Hall transition
• On the multifractal statistics of the local order parameter at random critical points : application to wetting transitions with disorder
• Integer Quantum Hall Effect in Double-Layer Systems
• Critical Conductance of a Mesoscopic System: Interplay of the Spectral and Eigenfunction Correlations at the Metal-Insulator Transition
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• The scaling behavior of the insulator to plateau transition in topological band model
• Anti-Levitation in the Integer Quantum Hall Systems
• Multifractality beyond the Parabolic Approximation: Deviations from the Log-normal Distribution at Criticality in Quantum Hall Systems
• ${\mathcal{L}}^2$ localization landscape for highly-excited states
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Multifractality of quantum wave functions in the presence of perturbations
• Search for Multiple Step Integer Quantum Hall Transitions
• Dimensional Crossover of Localisation and Delocalisation in a Quantum Hall Bar
• Imaging the breakdown and restoration of topological protection in magnetic topological insulator MnBi${}_2$Te${}_4$
• Correlated random band matrices: localization-delocalization transitions
• Critical behaviour at the metal-insulator transition in 3-dimensional disordered systems in a strong magnetic field
• Electron-electron interactions, quantum Coulomb gap, and dynamical scaling near integer quantum Hall transitions
• Quantum Hall Effect in Three Dimensional Layered Systems
• Gapless helical superconductivity on the surface of a three-dimensional topological insulator
• Integer Quantum Hall Effect: Disorder, temperature, floating, and plateau width
• Localized States and Quantum Spin Hall Effect in Si-Doped InAs/GaSb Quantum Wells
• Charged particles in random magnetic fields and the critical behavior in the fractional quantum Hall effect
• Quasiclassical approach to the weak levitation of extended states in the quantum Hall effect
• Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Disordered topological graphs enhancing nonlinear phenomena
• Classical versus Quantum Transport near Quantum Hall Transitions
• On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential
• Spin-flip scattering in the quantum Hall regime
• Experimental probes of emergent symmetries in the quantum Hall system
• Chern band insulators in magnetic field
• Crossover of conductance and local density of states in a single-channel disordered quantum wire
• On the critical weight statistics of the Random Energy Model and of the Directed Polymer on the Cayley Tree
• Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
• Magneto-transport of graphene and quantum phase transitions in the quantum Hall regime
• Dephasing catastrophe in $4-\epsilon$ dimensions: A possible instability of the ergodic (many-body-delocalized) phase
• Universality in the Crossover between Edge Channel and Bulk Transport in the Quantum Hall Regime
• Numerical Replica Limit for the Density Correlation of the Random Dirac Fermion
• Interaction-induced supercurrent in quantum Hall setups
• Renormalization approach for quantum-dot structures under strong alternating fields
• Metal-insulator transitions in anisotropic 2d systems
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Renormalization group for network models of Quantum Hall transitions
• Coherent information as a mixed-state topological order parameter of fermions
• Random Defect Lines in Conformal Minimal Models
• Quantum computation of multifractal exponents through the quantum wavelet transform
• Quantum and classical localization in the lowest Landau level
• Local Current Distribution and "Hot Spots" in the Integer Quantum Hall Regime
• Real-space renormalization-group approach to the integer quantum Hall effect
• Delocalization and Universality of the Fractional Quantum Hall Plateau-to-Plateau Transitions
• Effect of Landau Level Mixing for Electrons in Random Magnetic Field
• The quantum Hall plateau transition at order 1/N
• Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials
• Quasiparticle Localization Transition in Dirty Superconductors
• Critical properties in long-range hopping Hamiltonians
• Mesoscopic Effects in the Quantum Hall Regime
• N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes
• Random cascade models of multifractality : real-space renormalization and travelling-waves
• Is it possible to observe experimentally a metal-insulator transition in ultra cold atoms?
• Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields
• Possible existence of a band of extended states induced by inter-Landau-band mixing in quantum Hall system
• Mapping the Current-Current Correlation Function Near a Quantum Critical Point
• Classical percolation fingerprints in the high-temperature regime of the integer quantum Hall effect
• Quantum Hall effect and Landau levels without spatial long-range correlations
• Universal scaling, beta function, and metal-insulator transitions
• Nonlocally-Correlated Disorder and Delocalization in One Dimension: Density of States
• Probing breakdown of topological protection: Filling-factor-dependent evolution of robust quantum Hall incompressible phases
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Specific heat in the integer quantum Hall effect: An exact diagonalization approach
• Bulk Tunneling at Integer Quantum Hall Transitions
• Many-body localization in Landau level subbands
• ``Splitting'' of Delocalized States in a Double--Layer System in a Strong Magnetic Field
• Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length
• Correlated mesoscopic fluctuations in integer quantum Hall transitions
• Low-frequency conductivity of a non-degenerate 2D electron liquid in strong magnetic fields
• Hartree-Fock Interactions in the Integer Quantum Hall Effect
• Geometry of random potentials: Induction of 2D gravity in Quantum Hall plateau transitions
• Scaling Behavior and Variable Hopping Conductivity in the Quantum Hall Plateau Transition
• Random-Mass Dirac Fermions in an Imaginary Vector Potential (I): Delocalization Transition and Localization Length
• Multiscaling Anderson localization of cosmic electromagnetic fields
• Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
• Observation of quantum Hall plateau-plateau transition and scaling behavior of the zeroth Landau level in graphene p-n-p junctions
• Effect of Hilbert space truncation on Anderson localization
• Localization Trajectory and Chern-Simons axion coupling for Bilayer Quantum Anomalous Hall Systems
• Topological delocalization in the completely disordered two-dimensional quantum walk
• Composite Fermion Nonlinear Sigma Models
• Green's functions on a renormalized lattice: An improved method for the integer quantum Hall transition
• Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
• Measuring the arrival time of an electron wave packet using a dynamical potential barrier
• Are Directed Waves Multifractal?
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Absence of Many-Body Localization in a Single Landau Level
• Activated resistivities in the integer quantum Hall effect
• Irrelevant corrections at the quantum Hall transition
• Stiff directed lines in random media
• The probability distribution of the conductance in anisotropic systems
• Scaling and Diffusion of Dirac Composite Fermions
• Critical behavior at the integer quantum Hall transition in a network model on the Kagome lattice
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
• Relevant perturbations at the spin quantum Hall transition
• Multifractal analysis of the electronic states in the Fibonacci superlattice under weak electric fields
• Quantum Hall Effect induced by electron-electron interaction in disordered GaAs layers with 3D spectrum
• Exact shape of the lowest Landau level in a spin-1/2 system with uncorrelated disorders
• Exponential suppression of interlayer conductivity in very anisotropic quasi-two-dimensional compounds in high magnetic field
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Resistance fluctuations and Aharonov-Bohm-type oscillations in antidot arrays in the quantum Hall regime
• Conservation laws in the quantum Hall Liouvillian theory and its generalizations
• Visualising the connection between edge states and the mobility edge in adiabatic and non-adiabatic topological charge transport
• Two parameter flow of σ_{xx}(ω) - σ_{xy}(ω) for the graphene quantum Hall system in ac regime
• The integer quantum Hall transition: an $S$-matrix approach to random networks
• An RG potential for the quantum Hall effects
• The microscopic picture of the integer quantum Hall regime
• Quantum Hall criticality in an amorphous Chern insulator
• Superlattice induced electron percolation within a single Landau level
• 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
• The role of a form of vector potential - normalization of the antisymmetric gauge
• Integer Quantum Hall Transition and Random SU(N) Rotation
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Parity Anomalous Semimetal with Minimal Conductivity Induced by an In-Plane Magnetic Field
• Localization and interactions in topological and non-topological bands in two dimensions
• Quantum Hall Effect: the resistivity of a two-dimensional electron gas using a thermodynamic approach
• Connecting polymers to the quantum Hall plateau transition
• Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder
• A solvable model of Landau quantization breakdown
• Mobility edge scaling at semiclassical and dissipative Hall transitions
• Two-terminal conductance fluctuations in the integer quantum Hall regime
• Transport via classical percolation at quantum Hall plateau transitions
• Multifractality in the fidelity of the Toffoli gate
• A Farewell to Liouvillians
• Electronic correlation in the quantum Hall regime
• Multifractality in high-dimensional graphs induced by correlated radial disorder
• Temperature-induced phase transitions in the quantum Hall magnet of bilayer graphene
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Cooling Quantum Gases with Entropy Localization
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition
• Gauge Invariance and the Critical Properties of Quantum Hall Plateaux Transitions
• Single electron magneto-conductivity of a nondegenerate 2D electron system in a quantizing magnetic field
• Scaling in the Integer Quantum Hall Effect: interactions and low magnetic fields
• Mott glass phase in a diluted bilayer Heisenberg quantum antiferromagnet
• Coulomb gap in the quantum Hall insulator
• One-Dimensional Extended States in Partially Disordered Planar Systems
• Spectral weight transfer in a disorder-broadened Landau level
• One Dimensional Localization for Arbitrary Disorder Correlations
• Precision of Quantization of the Hall Conductivity in a Sample of Finite Size: Power Law
• Universal conductance distribution in three dimensional systems in high magnetic fields
• Killing the Hofstadter butterfly, one bond at a time
• Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants
• Intrinsic and extrinsic anomalous Hall effects in disordered magnetic Weyl semimetal
• Anomalous Frequency-Dependent Conductivity near the Quantum Hall Transition
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories
• Quantum Fractality on the Surface of Topological Insulators
• Weak Localization and Integer Quantum Hall Effect in a Periodic Potential
• Short-Time Loschmidt Gap in Dynamical Systems with Critical Chaos
• Symmetry and Topology of Monitored Quantum Dynamics
• The scaling behaviour of localised and extended states in one-dimensional tight-binding models with disorder
• Electronic localization in two dimensions
• Spin adaptation of the cumulant expansions of reduced density matrices
• Anomalous state of a 2DEG in vicinal Si MOSFET in high magnetic fields
• Phenomenological Understanding of a Transport Regime with Reflection Symmetry in the Quantum Hall System in a Composite Fermion Picture
• Magnetic-field-induced cavity protection for intersubband polaritons
• Single Superfield Representation for Mixed Retarded and Advanced Correlators in Disordered Systems
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• The impact of dimensionality on universality of quantum Hall transitions
• Conductance fluctuations at the fractional quantum Hall plateau transitions
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Correlated disorder induced anomalous transport in magnetically doped topological insulators
• Interaction-induced localization-delocalization transition in the double-layer quantum Hall system
• Quantum Critical Dynamics Induced by Topological Zero Modes
• Robust quantum anomalous Hall effect with spatially uncorrelated disorder