Quantized Thermal Transport in the Fractional Quantum Hall Effect

Дата и время публикации : 1996-03-15T19:08:04Z

Авторы публикации и институты :
C. L. Kane
Matthew P. A. Fisher

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 6 pages REVTeX, 2 postscript figures (uuencoded and compressed)
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: 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 $nu=3/5$.

Category: Physics