Berry phase effect in anomalous thermoelectric transport

Details Berry phase effect in anomalous thermoelectric transport Berry phase effect in anomalous thermoelectric transport

2006-04-24

arxiv.org/abs/cond-mat/0604561v3

Phys. Rev. Lett. 97, 026603 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version in PRL

Scientific paper

10.1103/PhysRevLett.97.026603

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to the orbital magnetization rather than from the anomalous velocity which does not exist in the absence of a mechanical force. A finite-temperature formula for the orbital magnetization is derived, which enables us to provide an explicit expression for the off-diagonal thermoelectric conductivity, to establish the Mott relation between the anomalous Nernst and Hall effects, and to reaffirm the Onsager relations between reciprocal thermoelectric conductivities. A first-principles evaluation of our expression is carried out for the material CuCr$_2$Se$_{4-x}$Br$_x$, obtaining quantitative agreement with a recent experiment.

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