Quantized Thermal Transport in the Fractional Quantum Hall Effect

Details Quantized Thermal Transport in the Fractional Quantum Hall Effect Quantized Thermal Transport in the Fractional Quantum Hall Effect

1996-03-15

arxiv.org/abs/cond-mat/9603118v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.55.15832

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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