Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states

Abstract

We study transport along interfaced edge segments of fractional quantum Hall states hosting non-Abelian Majorana modes. With an incoherent model approach, we compute, for edge segments based on Pfaffian, anti-Pfaffian, and particle-hole-Pfaffian topological orders, thermal conductances, voltage biased noise, and delta-$T$ noise. We determine how the thermal equilibration of edge modes impacts these observables and identify the temperature scalings of transitions between regimes of differently quantized thermal conductances. In combination with recent experimental data, we use our results to estimate thermal and charge equilibration lengths in real devices. We also propose an experimental setup which permits measuring several transport observables for interfaced fractional quantum Hall edges in a single device. It can, e.g., be used to rule out edge reconstruction effects. In this context, we further point out some subtleties in two-terminal thermal conductance measurements and how to remedy them. Our findings are consistent with recent experimental results pointing towards a particle-hole-Pfaffian topological order at filling $\nu =5/2$ in GaAs/AlGaAs, and provide further means to pin-point the edge structure at this filling and possibly also other exotic fractional quantum Hall states.

17+10 pages; 12+2 figures; Updated Sec. VII and Fig. 12. References added

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Cited by in corpus (14)

• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying non-Abelian anyons with upstream noise
• Localization and conductance in fractional quantum Hall edges
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Landscapes of an out-of-equilibrium anyonic sea
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Colored ${\Delta }_T$ noise probes the topological character of edge modes