Derivative relation for thermopower in the quantum Hall regime
arXiv:cond-mat/9705079 · doi:10.1103/PhysRevB.56.R7116
Abstract
Recently, Tieke et al (to be published in PRL) have observed the relation S_{yx} = alpha B dS_{xx}/dB for the components of the thermopower tensor in the quantum Hall regime, where alpha is a constant and B is the magnetic field. Simon and Halperin (PRL 73, 3278 (1994)) have suggested that an analogous relation observed for the resistivity tensor R_{xx} = αB dR_{xy}/dB can be explained with a model of classical transport in an inhomogeneous medium where the local Hall resistivity is a function of position and the local dissipative resistivity is a small constant. In the present paper, we show that this new thermopower relation can be explained with a similar model.
This paper supercedes cond-mat/9705001 which was withdrawn. 4 pages, Revtex