Particle-hole symmetry and the Pfaffian state

Abstract

We consider the properties of the Moore-Read Pfaffian state under particle-hole conjugation. We show that the particle-hole conjugate of the Pfaffian state - or "anti-Pfaffian" state - is in a different universality class from the Pfaffian state, with different topological order. The two states can be distinguished by both their bulk and edge physics though the difference is most dramatic at the edge: the edge of the anti-Pfaffian state has a composite structure that leads to a different thermal Hall conductance and different tunneling exponents than the Pfaffian state. At the same time, the two states are exactly degenerate in energy for a $\nu =5/2$ quantum Hall system in the idealized limit of zero Landau level mixing. Thus, both are good candidates for the observed $\nu =5/2$ quantum Hall plateau.

arXiv comment5 pages

References in corpus (9)

• Topological orders and Edge excitations in FQH states
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• On transport in quantum Hall systems with constrictions

Cited by in corpus (353)

• Non-Abelian Anyons and Topological Quantum Computation
• New directions in the pursuit of Majorana fermions in solid state systems
• Majorana Zero Modes and Topological Quantum Computation
• Topological Flat Band Models and Fractional Chern Insulators
• Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
• Observation of half-integer thermal Hall conductance
• Is the Composite Fermion a Dirac Particle?
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Quantum Hall Physics - hierarchies and CFT techniques
• Observation of neutral modes in the fractional quantum Hall regime
• Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Even denominator fractional quantum Hall state in bilayer graphene
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Plasma Analogy and Non-Abelian Statistics for Ising-type Quantum Hall States
• Quantum Hall system in Tao-Thouless limit
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Non-Abelian Quantum Hall Effect in Topological Flat Bands
• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• Real-Space Entanglement Spectrum of Quantum Hall States
• The non-Abelian Interferometer
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Fractional charge and fractional statistics in the quantum Hall effects
• Particle-Hole Symmetry and the Composite Fermi Liquid
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Proliferation of neutral modes in fractional quantum Hall states
• Transport signatures of Hall viscosity
• Paired composite fermion wavefunctions
• Parton construction of a wave function in the anti-Pfaffian phase
• Isolated Ballistic Non-Abelian Interface Channel
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Novel method distinguishing between competing topological orders
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Landau Level Mixing in the Perturbative Limit
• A Stable Pfaffian State in Bilayer Graphene
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
• Experimental probe of topological orders and edge excitations in the second Landau level
• The nature of composite fermions and the role of particle hole symmetry: A microscopic account
• Composite fermi liquids in the lowest Landau level
• Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• What Determines the Fermi Wave Vector of Composite Fermions?
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Pairing in Luttinger Liquids and Quantum Hall States
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Implementing arbitrary phase gates with Ising anyons
• Chargeless heat transport in the fractional quantum Hall regime
• Is the charge determined via shot noise measurements unique?
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Optical Probing of the Spin Polarization of the nu=5/2 Quantum Hall State
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Particle-Hole Symmetry Breaking and the 5/2 Fractional Quantum Hall Effect
• Measurement-Only Topological Quantum Computation via Tunable Interactions
• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Mirror symmetry and the half-filled Landau level
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Quasi-Topological Phases of Matter and Topological Protection
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Luttinger theorem for the strongly correlated Fermi liquid of composite fermions
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• Non-Abelian fractionalization in topological minibands
• Observable Bulk Signatures of Non-Abelian Quantum Hall States
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Spontaneous Particle-Hole Symmetry Breaking in the $\nu =5/2$ Fractional Quantum Hall Effect
• Topological classification of shot noise on fractional quantum Hall edges
• Metaplectic Anyons, Majorana Zero Modes, and their Computational Power
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Fractional quantum Hall effect in a tilted magnetic field
• Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
• Collective states of non-abelian quasiparticles in a magnetic field
• Quantum Hall Phase Diagram of Second Landau-level Half-filled Bilayers: Abelian versus Non-Abelian States
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Anyons in Quantum Hall Interferometry
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Transition from Abelian to non-Abelian quantum liquids in the second Landau level
• Striped quantum Hall state in a half-filled Landau level
• Charge tunneling in fractional edge channels
• Fibonacci Topological Superconductor
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Fractional Quantum Hall States at 1/3 and 5/2 Filling: the Density-Matrix Renormalization Group Calculations
• Tunable Electron Interactions and Fractional Quantum Hall States in Graphene
• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Telegraph noise and the Fabry-Perot quantum Hall interferometer
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Non-Abelian anyons: when Ising meets Fibonacci
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Non-Abelian Anyon Collider
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Energetics of Pfaffian-AntiPfaffian Domains
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• The $\nu =\frac{1}{2}$ Landau level: Half-full or half-empty?
• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest Landau Level
• Emergent particle-hole symmetry in the half-filled Landau level
• Environmental induced renormalization effects in quantum Hall edge states
• Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Imaging anyons with scanning tunneling microscopy
• Fusion channels of non-Abelian anyons from angular-momentum and density-profile measurements
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Long-Distance Entanglement of Spin Qubits via Quantum Hall Edge States
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Charge-statistics separation and probing non-Abelian states
• Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect
• Odd-Even Crossover in a non-Abelian $\nu =5/2$ Interferometer
• Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
• Coulomb Blockade Doppelgangers in Quantum Hall States
• The Dirac Composite Fermion of the Fractional Quantum Hall Effect
• Why a noninteracting model works for shot noise in fractional charge experiments
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Temperature enhancement of thermal Hall conductance quantization
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Particle-hole symmetry and electromagnetic response of a half-filled Landau level
• Entangled Pauli Principles: the DNA of Quantum Hall Fluids
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Edge Probes of Topological Order
• Traits and Characteristics of Interacting Dirac fermions in Monolayer and Bilayer Graphene
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Quantum Hall hierarchy from coupled wires
• Non-equilibrium transport through a point contact in the $\nu =5/2$ non-Abelian quantum Hall state
• Energy relaxation in edge modes in the quantum Hall effect
• Spectral noise for edge states at filling factor $\nu =5/2$
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• Thermal equilibration on the edges of topological liquids
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
• Long tunneling contact as a probe of fractional quantum Hall neutral edge modes
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• An exactly soluble model with tunable p-wave paired fermion ground states
• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Quasihole condensates in quantum Hall liquids
• Multiple Chiral Majorana Fermion Modes and Quantum Transport
• Partition Functions of Non-Abelian Quantum Hall States
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states
• The Jain-2/5 parent Hamiltonian: structure of zero modes, dominance patterns, and zero mode generators
• Geometric Fluctuation of Conformal Hilbert Spaces and Multiple Graviton Modes in Fractional Quantum Hall Effect
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Composite fermion pairing induced by Landau level mixing
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Mapping of Parent Hamiltonians: from Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Chirality-Protected Majorana Zero Modes at the Gapless Edge of Abelian Quantum Hall States
• Possible realization of a chiral p-wave paired state in a two component system
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Transport in line junctions of $\nu =5/2$ quantum Hall liquids
• Momentum resolved tunneling into the Pfaffian and anti-Pfaffian edges
• The Pfaffian state in an electron gas with small Landau level gaps
• Signatures of neutral quantum Hall modes in transport through low-density constrictions
• Neutral mode heat transport and fractional quantum Hall shot noise
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Fractional quantum Hall effect arising from repulsive three body interaction
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Theoretical phase diagram of two-component composite fermions in double layer graphene
• An Effective Field Theory for Fractional Quantum Hall Systems near $\nu =5/2$
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• One-dimensional itinerant interacting non-Abelian anyons
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Lowest Landau Level Stress Tensor and Structure Factor of Trial Quantum Hall Wave Functions
• Non-Abelian spin Hall insulator
• Adiabatic Cooling with Non-Abelian Anyons
• Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
• Entanglement Measures for Quasi-Two-Dimensional Fractional Quantum Hall States
• Incompressible States of the Interacting Composite Fermions in Negative Effective Magnetic Fields at $\nu =4/13$, 5/17, and 3/10
• Signatures of non-Abelian statistics in non-linear coulomb blockaded transport
• Topological blockade and measurement of topological charge
• Fractionalization of itinerant anyons in one dimensional chains
• Origin of the $\nu =1/2$ fractional quantum Hall effect in wide quantum wells
• The Dirac composite fermion of the fractional quantum Hall effect
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• The Gaffnian and Haffnian: physical relevance of non-unitary CFT for incompressible fractional quantum Hall effect
• Optical emission spectroscopy study of competing phases of electrons in the second Landau level
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Paired states in half-filled Landau levels
• Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Signatures of Supersymmetry in the $\nu =5/2$ Fractional Quantum Hall Effect
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Fluctuation theorems without time-reversal symmetry
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Microwave Absorption by a Mesoscopic Quantum Hall Droplet
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Coulomb blockade with neutral modes
• PH-Pfaffian order in a translationally and rotationally invariant system
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• 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
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Identifying non-Abelian anyons with upstream noise
• Topological invariants for the fractional quantum Hall states
• Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
• Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds
• Adiabatic Construction of Hierarchical Quantum Hall States
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Particle-hole Asymmetry of Fractional Quantum Hall States in the Second Landau Level of a Two-dimensional Hole System
• Measuring Topological Order
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• Pairing of particle-hole symmetric composite fermions in half-filled Landau level
• Paired parton quantum Hall states: a coupled wire construction
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Stability of the k=3 Read-Rezayi state in chiral two-dimensional systems with tunable interactions
• Model interactions for Pfaffian paired states based on Chern-Simons field theory description
• Tunnelling current through fractional quantum Hall interferometers
• Distribution of Conductances in Chiral Topological Superconductor Junctions
• Non-Abelian Fermionization and the Landscape of Quantum Hall Phases
• Freezing of an unconventional two-dimensional plasma
• Localization and conductance in fractional quantum Hall edges
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Pfaffian paired states for half-integer fractional quantum Hall effect
• Majorana Zero Modes in Semiconductor Nanowires in Contact with Higher-$T_c$ Superconductors
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Dynamics of Quantum Hall Interfaces
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• In-plane electric fields and the $\nu =\frac{5}{2}$ fractional quantum Hall effect in a disk geometry
• Identification of the Fractional quantum Hall edge modes by density oscillations
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
• Effect of inter-edge Coulomb interactions on transport through a point contact in a ν= 5/2 quantum Hall state
• Geometric bound on structure factor
• Chiral topologically ordered insulating phases in arrays of interacting integer quantum Hall islands
• Energy minimization of paired composite fermion wave functions in the spherical geometry
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Two-component parton fractional quantum Hall state in graphene
• The composite fermion theory revisited: a microscopic derivation without Landau level projection
• Characterization and Classification of Fermionic Symmetry Enriched Topological Phases
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Stability of the 5/2 Fractional Quantum Hall State in a Corbino Disc Sample with In-plane Electric Fields
• Splitting of roton minimum in the ν=5/2 Moore-Read state
• Heat-bath approach to anomalous thermal transport: effects of inelastic scattering
• Charged spin textures over the Moore-Read quantum Hall state
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Gauge-Invariant Variables Reveal the Quantum Geometry of Fractional Quantum Hall States
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
• Fractional quantum Hall state at $\nu =1/2$ with energy gap up to 6 K, and possible transition from one- to two-component state
• Large composite fermion effective mass at filling factor 5/2
• Generalization of Laughlin's Theory for the Fractional Quantum Hall Effect
• Dihedral twist liquid models from emergent Majorana fermions
• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Integrability of the $\nu =4/3$ fractional quantum Hall edge states
• Topological pairing of composite fermions via criticality
• Determination of many-electron basis functions for a Quantum Hall ground state using Schur polynomials
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Braiding properties of paired spin-singlet and non-abelian hierarchy states
• Construction of a series of new $\nu =2/5$ fractional quantum Hall wave functions by conformal field theory
• Non-Abelian phases from the condensation of Abelian anyons
• Partial fillings of the bosonic $E_8$ quantum Hall state
• Conformal field theory construction for nonabelian hierarchy wave functions
• Halperin states can produce any filling fractions
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• Nonperturbative emergence of Dirac fermion in strongly correlated composite fermions of fractional quantum Hall effects
• Twisted Interferometry
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Solvable models for neutral modes in fractional quantum Hall edges
• Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Optimal confinement potential in quantum Hall droplets
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Dipole representation of composite fermions in graphene quantum Hall systems
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Orbital Description of Landau Levels
• Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Cotunneling in the ν= 5/2 fractional quantum Hall regime
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions
• Interacting 1D Chiral Fermions with Pairing: Transition from Integrable to Chaotic
• Spin texture readout of a Moore-Read topological quantum register
• Fractional Quantum Hall Effects in HgTe Quantum Wells
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene