Quantized Thermal Transport in the Fractional Quantum Hall Effect

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 $\nu =3/5$.

6 pages REVTeX, 2 postscript figures (uuencoded and compressed)

References in corpus (3)

• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Thermal transport in a Luttinger liquid
• The Structure of Fractional Edge States: A Composite Fermion Approach

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