Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect

Abstract

Since the charged mode is much faster than the neutral modes on quantum Hall edges at large filling factors, the edge may remain out of equilibrium in thermal conductance experiments. This sheds light on the observed imperfect quantization of the thermal Hall conductance at $\nu =8/3$ and can increase the observed thermal conductance by two quanta at $\nu =8/5$. Under certain unlikely but not impossible assumptions, this might also reconcile the observed thermal conductance at $\nu =5/2$ with not only the PH-Pfaffian order but also the anti-Pfaffian order.

arXiv commentaccepted version

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• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
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• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Spectral signatures of non-thermal baths in quantum thermalization
• Temperature enhancement of thermal Hall conductance quantization
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• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
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• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energy relaxation in edge modes in the quantum Hall effect
• The chiral SYK model
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• Thermal equilibration on the edges of topological liquids
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• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
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• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• 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
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• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
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