Berry phase effect in anomalous thermoelectric transport

Abstract

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.

Published version in PRL

References in corpus (3)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Orbital magnetization in periodic insulators
• Linear magnetization dependence of the intrinsic anomalous Hall effect

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• Anomalous Nernst effect from a chiral d-density wave state in underdoped cuprate superconductors
• Orbital magnetization and Chern number in a supercell framework: Single k-point formula
• Theoretical Evidence for the Berry-Phase Mechanism of Anomalous Hall Transport: First-principles Studies on CuCr${}_2$Se${}_{4-x}$Br${}_x$
• Intrinsic Spin Hall Effect in s-wave Superconducting State: Analysis of Rashba Model
• Orbital magnetization and its effects in spin-chiral ferromagnetic Kagome lattice
• Orbital magnetization and its effect in antiferromagnets on the distorted fcc lattice
• Theory of AC Anomalous Hall Conductivity in d-electron systems