Derivative relation for thermopower in the quantum Hall regime

Details Derivative relation for thermopower in the quantum Hall regime Derivative relation for thermopower in the quantum Hall regime

1997-05-09

arxiv.org/abs/cond-mat/9705079v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

This paper supercedes cond-mat/9705001 which was withdrawn. 4 pages, Revtex

Scientific paper

10.1103/PhysRevB.56.R7116

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} = \alpha B 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.

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