Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687

Abstract

We address the interpretation proposed in [S. H. Simon, arXiv:1801.09687] of the thermal conductance data from [M. Banerjee et al., arXiv:1710.00492]. We show that the interpretation is inconsistent with experimental data and the sample structure. In particular, the paper misses the momentum mismatch between contra-propagating modes. Contrary to the claim of the paper, low energy tunneling involves a large momentum change. We consider only the 'small Majorana velocity' mechanism [S. H. Simon, arXiv:1801.09687]. Other mechanisms, interpretations of the experiment, and their difficulties are beyond the scope of this Comment.

accepted version

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• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Geometric responses of the Pfaffian state
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• 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
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• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
• Geometric and computational aspects of chiral topological quantum matter
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• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling