Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states

Abstract

Non-abelian quantum Hall states are characterized by the simultaneous appearance of charge and neutral gapless edge modes, with the structure of the latter being intricately related to the existence of bulk quasi-particle excitations obeying non-abelian statistics. In general, it is hard to probe the neutral modes in charge transport measurements and a thermal transport measurement seems to be inevitable. Here we propose a setup which can get around this problem by having two point contacts in series separated by a distance set by the thermal equilibration length of the charge mode. We show that by using the first point contact as a heating device, the excess charge noise measured at the second point contact carries a non-trivial signature of the presence of the neutral mode hence leading to its indirect detection. We also obtain explicit expressions for the thermal conductance and corresponding Lorentz number for transport across a quantum point contact between two edges held at different temperatures and chemical potentials.

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• Minimal excitation states for heat transport in driven quantum Hall systems
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• Edge Probes of Topological Order
• Enhanced thermoelectric response in the fractional quantum Hall effect
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Energy transport by neutral collective excitations at the quantum Hall edge
• Neutral mode heat transport and fractional quantum Hall shot noise
• Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
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