Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder

Abstract

We consider electrical and thermal equilibration of the edge modes of the Anti-Pfaffian quantum Hall state at $\nu =5/2$ due to tunneling of the Majorana edge mode to trapped Majorana zero modes in the bulk. Such tunneling breaks translational invariance and allows scattering between Majorana and other edge modes in such a way that there is a parametric difference between the length scales for equilibration of charge and heat transport between integer and Bose mode on the one hand, and for thermal equilibration of the Majorana edge mode on the other hand. We discuss a parameter regime in which this mechanism could explain the recent observation of quantized heat transport [Banerjee et all, Nature 559, 7713 (2018)].

arXiv comment5 pages plus supplement

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Cited by in corpus (31)

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• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
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• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
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• Determination of topological edge quantum numbers of fractional quantum Hall phases
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• Temperature enhancement of thermal Hall conductance quantization
• Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
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• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
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• 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
• Energy minimization of paired composite fermion wave functions in the spherical geometry
• Domain Textures in the Fractional Quantum Hall Effect
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• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations