Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2

Abstract

Numerical results suggest that the quantum Hall effect at ν = 5/2 is described by the Pfaffian or anti-Pfaffian state in the absence of disorder and Landau level mixing. Those states are incompatible with the observed transport properties of GaAs heterostructures, where disorder and Landau level mixing are strong. We show that the recent proposal of a PH-Pfaffian topological order by Son is consistent with all experiments. The absence of the particle-hole symmetry at ν = 5/2 is not an obstacle to the existence of the PH-Pfaffian order since the order is robust to symmetry breaking.

5 Pages, 3 Figures

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• Particle-hole symmetry and the Pfaffian state
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• Mach-Zehnder interferometer in the Fractional Quantum Hall regime
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Model for Dissipative Conductance in Fractional Quantum Hall States
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry

Cited by in corpus (91)

• Observation of half-integer thermal Hall conductance
• Duality between $(2+1)d$ Quantum Critical Points
• Fractional charge and fractional statistics in the quantum Hall effects
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Transport signatures of Hall viscosity
• Parton construction of a wave function in the anti-Pfaffian phase
• Isolated Ballistic Non-Abelian Interface Channel
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• Novel method distinguishing between competing topological orders
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Non-Abelian Anyon Collider
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Realizing topological surface states in a lower-dimensional flat band
• Imaging anyons with scanning tunneling microscopy
• Particle-Hole Duality in the Lowest Landau Level
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• 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
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• Edge Probes of Topological Order
• Quantum Hall hierarchy from coupled wires
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• Thermal equilibration on the edges of topological liquids
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• The Jain-2/5 parent Hamiltonian: structure of zero modes, dominance patterns, and zero mode generators
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Composite fermion pairing induced by Landau level mixing
• The Pfaffian state in an electron gas with small Landau level gaps
• An Effective Field Theory for Fractional Quantum Hall Systems near $\nu =5/2$
• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Geometric Resonance of Four-Flux Composite Fermions
• Precise Experimental Test of the Luttinger Theorem and Particle-Hole Symmetry for a Strongly Correlated Fermionic System
• Geometric responses of the Pfaffian state
• Paired states in half-filled Landau levels
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• PH-Pfaffian order in a translationally and rotationally invariant system
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Identifying non-Abelian anyons with upstream noise
• Pairing of particle-hole symmetric composite fermions in half-filled Landau level
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Model interactions for Pfaffian paired states based on Chern-Simons field theory description
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Pfaffian paired states for half-integer fractional quantum Hall effect
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• 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
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Energy minimization of paired composite fermion wave functions in the spherical geometry
• Two-component parton fractional quantum Hall state in graphene
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Large composite fermion effective mass at filling factor 5/2
• 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
• Construction of a series of new $\nu =2/5$ fractional quantum Hall wave functions by conformal field theory
• Mean field approximations for short range four body interactions at $\nu =3/5$
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
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• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Anyonic analogue of optical Mach-Zehnder interferometer