Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion

Abstract

Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of electrical current carried through the edge evidences the interplay between these two topological observables. Transport through a structured edge is modeled by a voltage-biased line junction made up of two counter-propagating modes associated with respective filling factors. Specifically, we focus on the edge of a $\nu =2/3$ fractional quantum Hall state. Noise is generated at a point distinctly separated from the hot spot (where most of the Ohmic dissipation takes place) and reflects the competition between ballistically carried downstream current and diffusively carried heat (which can propagate also upstream). We propose specific setups where our predictions can be measured.

5pages, 5 figures, 5-page supplemental material

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Cited by in corpus (30)

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• 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
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Energy relaxation in edge modes in the quantum Hall effect
• Does delta-$T$ noise probe quantum statistics?
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• 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
• Symmetry-related transport on a fractional quantum Hall edge
• Identifying non-Abelian anyons with upstream noise
• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
• Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling
• Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Ballistic-to-diffusive transition in engineered counter-propagating quantum Hall channels
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations