Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene

Abstract

Transport through edge-channels is responsible for conduction in quantum Hall (QH) phases. Topology dictates quantization of both charge and thermal transport coefficients. These turn out to approach robust quantized values when incoherent equilibration processes become dominant. Here, we report on measurements of both electrical and thermal conductances of integer and fractional quantum Hall (FQH) phases, realized in hBN encapsulated graphite gated bilayer graphene devices. Remarkably, for the complex edge at filling factors $\nu =5/3$ and $\nu =8/3$, which correspond to the paradigmatic hole-conjugate FQH phase $\nu =2/3$ of the partially filled Landau level, we find vanishing thermal equilibration. This is striking, given that, at the same time, our results for the electrical conductance indicate efficient charge equilibration. These results are in accord with our theoretical analysis, pointing to a divergent thermal equilibration length in the limit of strong electrostatic interaction. Our results elucidate the subtle nature of the crossover from mesoscopic to robust topology-dominated transport in electronic two-dimensional topological phases.

47 pages including Supplementary information. There are 3 main figure and 4 extended figures

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Cited by in corpus (41)

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• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
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• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Absence of edge reconstruction for quantum Hall edge channels in graphene devices
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Thermal interferometry of anyons in spin liquids
• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Fluctuations in heat current and scaling dimension
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Absence of heat flow in ν = 0 quantum Hall ferromagnet in bilayer graphene
• Vanishing bulk heat flow in the nu=0 quantum Hall ferromagnet in monolayer graphene
• Measuring Topological Order
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Localization and conductance in fractional quantum Hall edges
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• The Monte Carlo simulation of the topological quantities in FQH systems
• Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Landscapes of an out-of-equilibrium anyonic sea
• Half-integer thermal conductance in the absence of Majorana mode
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Ballistic-to-diffusive transition in engineered counter-propagating quantum Hall channels
• Dc Electrical Current Generated by Upstream Neutral Modes
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Heating Dynamics of Mesoscopic Electron Baths at High Magnetic Field
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Elevated Hall Responses as Indicators of Edge Reconstruction