1996/03/15 by C. L. Kane, Matthew P. A. Fisher · 2 citations
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevb.55.15832
6 pages REVTeX, 2 postscript figures (uuencoded and compressed)
arxiv created 1996/03/15 · arxiv updated 2009/11/30
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, KH, 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 ν=2/3 and ν=3/5.