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.

accepted version

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Cited by in corpus (44)

• Fractional charge and fractional statistics in the quantum Hall effects
• Novel method distinguishing between competing topological orders
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Topological classification of shot noise on fractional quantum Hall edges
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Energetics of Pfaffian-AntiPfaffian Domains
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• 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
• Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Edge Probes of Topological Order
• 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
• 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
• Boundary central charge from bulk odd viscosity - chiral superfluids
• An Effective Field Theory for Fractional Quantum Hall Systems near $\nu =5/2$
• 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
• Identifying non-Abelian anyons with upstream noise
• Measuring Topological Order
• 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
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
• Energy minimization of paired composite fermion wave functions in the spherical geometry
• Integrability of the $\nu =4/3$ fractional quantum Hall edge states
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Geometric and computational aspects of chiral topological quantum matter
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Interacting 1D Chiral Fermions with Pairing: Transition from Integrable to Chaotic