On the Interpretation of Thermal Conductance of the nu=5/2 Edge

Abstract

Recent experiments [Banerjee et al, arXiv:1710.00492] have measured thermal conductance of the nu=5/2 edge in a GaAs electron gas and found it to be quantized as K \approx 5/2 (in appropriate dimensionless units). This result is unexpected, as prior numerical work predicts that the nu=5/2 state should be the Anti-Pfaffian phase of matter, which should have quantized K=3/2. The purpose of this paper is to propose a possible solution to this conflict: if the Majorana edge mode of the Anti-Pfaffian does not thermally equilibrate with the other edge modes, then K=5/2 is expected. I briefly discuss a possible reason for this nonequilibration, and what should be examined further to determine if this is the case.

4 pages

References in corpus (4)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Quantum limit of heat flow across a single electronic channel
• Infinite density matrix renormalization group for multicomponent quantum Hall systems

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• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
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• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
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• Energetics of Pfaffian-AntiPfaffian Domains
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Fusion channels of non-Abelian anyons from angular-momentum and density-profile measurements
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• Temperature enhancement of thermal Hall conductance quantization
• Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
• 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
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Quantum Hall hierarchy from coupled wires
• Energy relaxation in edge modes in the quantum Hall effect
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
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• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Hong-Ou-Mandel heat noise in the quantum Hall regime
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• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
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• Geometric responses of the Pfaffian state
• 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
• Measuring Topological Order
• Identifying non-Abelian anyons with upstream noise
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• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Localization and conductance in fractional quantum Hall edges
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
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• Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• 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
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions