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Quantized Thermal Transport in the Fractional Quantum Hall Effect

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arxiv cond-mat/9603118 v1 pith:SS7G4RWA submitted 1996-03-15 cond-mat

classification cond-mat
keywords thermalhalltransportfractionaledgeeffectfqhepredicted
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abstract

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and charge transport. The thermal Hall conductance, $K_H$, is shown to provide a new and universal characterization of the FQHE state, and reveals non-trivial information about the edge structure. The Lorenz ratio between thermal and electrical Hall conductances {\it violates} the free-electron Wiedemann-Franz law, and for some fractional states is predicted to be {\it negative}. We argue that thermal transport may provide a unique way to detect the presence of the elusive upstream propagating modes, predicted for fractions such as $\nu=2/3$ and $\nu=3/5$.

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  1. Approximate Quantum Error Correction at Chiral Topological Edges

    quant-ph 2026-08 conditional novelty 7.0 of 10

    Chiral edge codes have local-erasure robustness governed by power-law exponents with hierarchy γ≥α≥min{α,β}, so the 2D code is at least as robust as its 1D CFT reduction.

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