Topological orders and Edge excitations in FQH states

Abstract

Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which represent a whole new kind of ordering. We discuss characterization and classification of the new orders (which is called topological orders). We also discuss the edge excitations in FQH liquids, which form the so-called chiral Luttinger liquids. The chiral Luttinger liquids at the edges also have very rich structures as a reflection of the rich topological orders in the bulk. Thus, edge excitations provide us a practical way to measure topological orders in experiments.

67 pages, plain-tex, 3 figures. The section about spin vector was rewritten to make it more readable

References in corpus (6)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Chiral Operator Product Algebra Hidden in Certain Fractional Quantum Hall Wave Functions
• Chiral Operator Product Algebra and Edge Excitations of a Fractional Quantum Hall Droplet
• Orbital spins of the collective excitations in Hall liquids

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• Decomposition of split-step quantum walks for simulating Majorana modes and edge states
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• From Quantum Wires to the Chern-Simons Description of the Fractional Quantum Hall Effect
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Wave Functions for Fractional Chern Insulators on Disk Geometry
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• Observability of counterpropagating modes at fractional-quantum-Hall edges
• Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
• Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at $m=\frac{2}{3}$ magnetization
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Local convertibility of the ground state of the perturbed Toric code
• Evolution of Dynamical Signature in the X-cube Fracton Topological Order
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Ab initio optimization principle for the ground states of translationally invariant strongly correlated quantum lattice models
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Trapping Abelian anyons in fractional quantum Hall droplets
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Binding Transition in Quantum Hall Edge States
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Photonic Dirac Nodal Line Semimetals Realized by Hyper-crystal
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Ferromagnetic phase transition in topological crystalline insulator thin films: interplay of anomalous Hall angle and magnetic anisotropy
• Josephson Coupled Moore-Read States
• Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
• Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II -- Cutting through the boundary
• Gapped domain walls between 2+1D topologically ordered states
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
• Topological Orders, Braiding Statistics, and Mixture of Two Types of Twisted $BF$ Theories in Five Dimensions
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• On classification of modular tensor categories
• Observation of chiral edge transport in a rapidly-rotating quantum gas
• Engineering topological states and quantum-inspired information processing using classical circuits
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
• Statistical transmutation in doped quantum dimer models
• Spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet with strong breathing anisotropy
• Topological ${\mathbb{Z}}_2$ RVB quantum spin liquid on the ruby lattice
• Matrix product state representation of quasielectron wave functions
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Transport properties of a two-dimensional electron liquid at high magnetic field
• Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
• Parafermions, induced edge states and domain walls in the fractional quantum Hall effect spin transitions
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Gaining insights on anyon condensation and 1-form symmetry breaking across a topological phase transition in a deformed toric code model
• The Neutral Excitations in the Gaffnian State
• Momentum-Resolved Tunneling into Fractional Quantum Hall Edges
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Nondissipative Drag Conductance as a Topological Quantum Number
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Low energy effective field theories of fermion liquids and mixed $U(1)\times {\mathbb{R}}^d$ anomaly
• Translation invariant topological superconductors on lattice
• Magnetism-induced massive Dirac spectra and topological defects in the surface state of Cr-doped Bi${}_2$Se${}_3$-bilayer topological insulators
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
• Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU($N$) symmetry
• Ising anyonic topological phase of interacting Fermions in one dimension
• Is the composite fermion state of Graphene a doped Chern insulator?
• Mass-deformed $\mathcal{N}=3$ Supersymmetric Chern-Simons-Matter Theory
• Criticality in Two-Dimensional Quantum Systems: Tensor Network Approach
• Hall Viscosity of Composite Fermions
• SU(3) and SU(4) singlet quantum Hall states at $\nu =2/3$
• Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state
• Criteria for protected edge modes with ${\mathbb{Z}}_2$ symmetry
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model
• Delta-T noise for fractional quantum Hall states at different filling factor
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Unified hydrodynamics theory of the lowest Landau level
• $Z_3$ generalization of the Kitaev's spin-1/2 model
• Critical charge instability on verge of the Mott transition and the origin of quantum protection in high-$T_c$ cuprates
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Bulk Versus Edge in the Quantum Hall Effect
• Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
• Signatures of broken parity and time-reversal symmetry in generalized string-net models
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Superconducting Topological Fluids in Josephson Junction Arrays
• Topological Order in Frustrated Josephson Junction Arrays
• 3+1d Boundaries with Gravitational Anomaly of 4+1d Invertible Topological Order for Branch-Independent Bosonic Systems
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• Entanglement Area Law for Shallow and Deep Quantum Neural Network States
• 2D Superconductivity: Classification of Universality Classes by Infinite Symmetry
• Topological order in Josephson junction ladders with Mobius boundary conditions
• Topological BF description of 2D accelerated chiral edge modes
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Topological aspects of $\pi$ phase winding junctions in superconducting wires
• Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
• Non-local order parameters for states with topological electromagnetic response
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Boundary Modes in the Chamon Model
• Symmetry-induced anyon "breeding" in fractional quantum Hall states
• Dyon condensation in topological Mott insulators
• Non-equilibrium tunneling into general quantum Hall edge states
• Edge properties of principal fractional quantum Hall states in the cylinder geometry
• Photocurrent-driven transient symmetry breaking in the Weyl semimetal TaAs
• A Novel CFT Approach to Bulk Wave Functions in the Fractional Quantum Hall Effect
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• Conductivity of a two-dimensional HgTe layer near the critical width: The role of developed edge states network and random mixture of $p$- and $n$-domains
• Finite width of anyons changes their braiding signature
• Coulomb Blockade in the Fractional Quantum Hall Effect Regime
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Realization of Topological Quantum Computation with surface codes
• Non-Abelian fractional quantum Hall states and chiral coset conformal field theories
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Current cross-correlations in a quantum Hall collider at filling factor two
• Topological order and Fractons from Gauging Exponential Symmetries
• Identifying non-Abelian anyons with upstream noise
• Emergent fermionic gauge theory and foliated fracton order in the Chamon model
• Unitary Designs of Symmetric Local Random Circuits
• Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
• Extracting the Luttinger parameter from a single wave function
• Phase transition in a noisy Kitaev toric code model
• Measuring Topological Order
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Topological invariants for the fractional quantum Hall states
• Edge states for topological insulators in two dimensions and their Luttinger-like liquids
• Topological line in frustrated Toric code models
• Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Topological Order in the (2+1)D Compact Lattice Superconductor
• Effective Chern-Simons Theories of Pfaffian and Parafermionic Quantum Hall States, and Orbifold Conformal Field Theories
• No End of Tricks: Electrons in the Fractional Quantum Hall Regime
• Boundary conditions and anomalies of conformal field theories in 1+1 dimensions
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• Fractional Hall Conductivity and Spin-c Structure in Solvable Lattice Hamiltonians
• Characterization of randomness in quantum circuits of continuous gate sets
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• A quantum phase transition from $Z_2\times Z_2$ to $Z_2$ topological order
• Topological bands in one-dimensional periodic potentials
• Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
• Classical criticality establishes quantum topological order
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Rotational Symmetry Protected Edge and Corner States in Abelian topological phases
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Correlators and fractional statistics in the quantum Hall bulk
• Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics
• Parafermions in Hierarchical Fractional Quantum Hall States
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• Topological Mid-gap States of px+ipy Topological Superconductor with Vortex superlattice
• Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of $Ad{S}_3$
• Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
• Shallow Water Memory: Stokes and Darwin Drifts
• Adiabatic Heuristic Principle on a Torus and Generalized Streda Formula
• Jain states on a torus: an unifying description
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Non-Abelian Fermionization and the Landscape of Quantum Hall Phases
• Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
• Orbital Frustration and Emergent Flat Bands
• Kinetic derivation of generalized phase space Chern-Simons theory
• On Quantum Entanglement in Topological Phases on a Torus
• Aspects of Emergent Symmetries
• Topological symmetry breaking: Domain walls and partial instability of chiral edges
• Tunnelling current through fractional quantum Hall interferometers
• Generalized Kramers-Wannier Duality from Bilinear Phase Map
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Localization and conductance in fractional quantum Hall edges
• Lattice Chern-Simons-Maxwell Theory and its Chirality
• A New Recursion Relation for the 6j-Symbol
• Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux
• Distinguish modular categories and 2+1D topological orders beyond modular data: Mapping class group of higher genus manifold
• Generalized toric codes on twisted tori for quantum error correction
• Effective Field Theory for a p-wave Superconductor in the Subgap Regime
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• The Monte Carlo simulation of the topological quantities in FQH systems
• Dynamics of Quantum Hall Interfaces
• Solvable Lattice Hamiltonians with Fractional Hall Conductivity
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Predicting Topological Entanglement Entropy in a Rydberg analog simulator
• Effective field theory and tunneling currents in the fractional quantum Hall effect
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
• Quantum Hall effects of exciton condensate in topological flat bands
• Entanglement in 3D Kitaev Spin Liquids
• Minimal alternating current injection into carbon nanotubes
• Incidence of the boundary shape in the effective theory of fractional quantum Hall edges
• The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
• Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Quantum 2-Body Hamiltonian for Topological Color Codes
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Theory of suppressed shot-noise at $\nu =2/(2p+\chi )$
• Finite frequency noise for edge states at filling factor $\nu =2/5$
• Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
• Quasi-particle propagation in quantum Hall systems
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• K-matrices for 2D conformal field theories
• Fractional Quantum Hall Effect Based on Weyl Orbits
• Foliated order parameter in a fracton phase transition
• Time reversal invariant gapped boundaries of the double semion state
• Solitons and Quasielectrons in the Quantum Hall Matrix Model
• Fractional statistics and duality: strong tunneling behavior of edge states of quantum Hall liquids in the Jain sequence
• Universal edge information from wave-function deformation
• Ungappable edge theories with finite dimensional Hilbert spaces
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Experimental Preparation of Topologically Ordered States via Adiabatic Evolution
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
• Topological phase transition in the periodically forced Kuramoto model
• Topological states in strongly correlated systems
• Effective Theories for 2+1 Dimensional Non-Abelian Topological Spin Liquids
• Topological bulk states and their currents
• Mirror anomaly in fermionic topological orders
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Floquet Flux Attachment in Cold Atomic Systems
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Composite quasiparticles and the "hidden" quantum critical point in the topological transition scenario of high-$T_c$ cuprates
• General scheme for preparation of different topological states on the cluster states
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Anyon braiding on the single edge of a fractional quantum Hall state
• Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
• Classification of Metaplectic Fusion Categories
• Levitons in correlated nano-scale systems
• Electron and Quasiparticle Exponents of Haldane-Rezayi state in Non-abelian Fractional Quantum Hall Theory
• Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Umklapp scattering at reconstructed quantum-Hall edges
• Fermionic symmetry-protected topological state in strained graphene
• Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
• Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
• Finite frequency noise in chiral Luttinger liquid coupled to phonons
• Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
• Correlated transport of FQHE quasiparticles in a double-antidot system
• Many-body study of a quantum point contact in the fractional quantum Hall regime at v=5/2
• Entanglement in topological systems
• Flat Bands Arising from Spin-Orbit Assisted Orbital Frustration
• The Fate of the Photon in Topological Matter: Superconductivity, Confinement and the Vortex Quantum Hall Effect
• Phase-Coherent Transport through a Mesoscopic System: A New Probe of Non-Fermi-Liquid Behavior
• On transport in quantum Hall systems with constrictions
• Dual Response Models for the Fractional Quantum Hall Effect
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Topological Superconductor from the Quantum Hall Phase: Effective Field Theory Description
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Pseudo-topological Quasi-local Energy of Torsion Gravity
• Towards unambiguous calculation of the topological entropy for mixed states
• Reply to "Comment on "Galilean invariance at quantum Hall edge""
• Correlated two-Leviton states in the fractional quantum Hall regime
• The Tomonaga-Luttinger Model and the Chern-Simons Theory for the Edges of Multi-layer Fractional Quantum Hall Systems
• Chiral topological states in Bose-Fermi mixtures
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• Experimental realization of Laughlin quasiparticle interferometers
• Edge Theories for Polarized Quantum Hall States
• Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
• Hybrid interacting quantum Hall thermal machine
• Dihedral twist liquid models from emergent Majorana fermions
• Stability and Activation Gaps of Parafermionic Hall States in the Second Landau Level
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Gauge-Invariant Variables Reveal the Quantum Geometry of Fractional Quantum Hall States
• Twisted Conformal Field Theories and Morita equivalence
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• String-nets, single and double-stranded quantum loop gases for non-Abelian anyons
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Characterizing Topological Order in Superconducting Systems
• Quantum Hall droplet laterally coupled to a quantum ring
• CSBIon -- a charged soliton of the 3-dimensional CS + BI Abelian gauge theory
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Generalization of Laughlin's Theory for the Fractional Quantum Hall Effect
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Duality and topology
• Fractional Quantum Hall Edge Electrons, Chiral Anomaly and the Berry Phase
• Interlayer correlated fractional quantum Hall state in the ν = 4/5 bilayer system
• Fusion Structure from Exchange Symmetry in (2+1)-Dimensions
• Adiabatic Continuity of the Spinful Quantum Hall States
• Universal properties of the FQH state from the topological entanglement entropy and disorder effects
• Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system
• Integer and fractional charge solitons in modulated strips in the fractional quantum Hall regime
• The Universe as a Set of Topological Fluids with Hierarchy and Fine Tuning of Coupling Constants in Terms of Graph Manifolds
• Partially topological phase in a quantum loop gas model with tension and pressure
• Signature of anyonic statistics in the integer quantum Hall regime
• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• A witness for topological order and stable quantum memories in abelian anyonic systems
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
• Topological ground state degeneracy of the two-channel Kondo lattice
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
• Ground-State Degeneracy of Correlated Insulators with Edges
• Engineering of Anyons on M5-Probes via Flux Quantization
• Non-Abelian phases from the condensation of Abelian anyons
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Ordering the topological order in the fractional quantum Hall effect
• Tunneling Qubit Operation on a Protected Josephson Junction Array
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Experiments on the Fermi to Tomonaga-Luttinger liquid transition in quasi-1D systems
• Paired quantum Hall states on noncommutative two-tori
• Instanton method for the electron propagator
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories
• Fractional quantum Hall junctions and two-channel Kondo models
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Braiding properties of paired spin-singlet and non-abelian hierarchy states
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
• Universality Lost: Relation between quantizations of the Hall conductance and the edge exponents in fractional quantum Hall effect
• Even-denominator fractional quantum Hall states with spontaneously broken rotational symmetry
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Variational Monte Carlo Optimization of Topological Chiral Superconductors
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Universal Anyon Tunneling in a Chiral Luttinger Liquid
• Abelian Topological Order on Lattice Enriched with Electromagnetic Background
• On the relation between fractional charge and statistics
• Quantum Mechanics of Plancherel Growth
• Analysis of Shot Noise at Finite Temperatures in Fractional Quantum Hall Edge States
• Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators
• Berry Phases in the Bosonization of Nonlinear Edge Modes
• Three-component fractional quantum Hall effect in topological flat bands
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Fractional quantum Hall interface induced by geometric singularity
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Layer-by-layer disentangling two-dimensional topological quantum codes
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Transgression field theory at the interface of topological insulators
• Superconductivity in a system of interacting spinful semions
• Edge observables of the Maxwell-Chern-Simons theory
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Topological phases in interacting spin-1 systems
• Fractional Quantum Hall States on CP2 Space
• Spatial Chern-Simons Interactions and Complex Magnetic Penetration Depth
• Solvable models for neutral modes in fractional quantum Hall edges
• Effective field theory for the bulk-edge correspondence in a two-dimensional Z_2 topological insulator with Rashba interactions
• Emergent Higgsless Superconductivity
• Proliferation transitions from a topological phase in $2+1$ dimensions
• Self-induced manipulation of biphoton entanglement in topologically distinct modes
• Edge physics and the Casimir interaction in Maxwell-Chern-Simons theory on a strip
• Universal power-law exponents in differential tunneling conductance for planar insulators near Mott criticality at low temperatures
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
• Topological entanglement entropy for torus knot bipartitions and the Verlinde-like formulas
• A superintegrable quantum field theory
• A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}
• Impact of in-situ controlled disorder screening on fractional quantum Hall effects and composite-fermion transport
• Tunneling between two systems of interacting chiral fermions
• Strongly Correlated Transport in Topological Y-Junction Devices
• Standard Temperature and Pressure Superconductivity
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity
• Topological Quantum Phase Transitions in Topological Superconductors
• Jain hierarchy for the Fractional Quantum Hall Effect
• SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states
• Developments in the applications of density functional theory to fractional quantum Hall systems
• Fractional quantum Hall edge polaritons
• Finite frequency noise for Laughlin state investigated by a resonant circuit
• Chiral Edge States in 2+1 Dimensional Topological Phases
• Holographic entanglement renormalisation for fermionic quantum matter
• Distinct topological excitonic insulators characterized by quantum geometry
• Multipartite entanglement in quantum phase transitions
• The Angular momentum aspect of shift in FQHE
• Quantum Phase Liquids-Fermionic Superfluid without Phase Coherence
• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly
• Few-particle systems: An analysis of some strongly correlated states
• Superconductors with Topological Order and their Realization in Josephson Junction Arrays
• Cotunneling in the ν= 5/2 fractional quantum Hall regime
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Edge states and anomalous SUSY in (2+1)-dimensional Maxwell Chern-Simons theory