Energy Magnetization and Thermal Hall Effect

Abstract

We obtain a set of general formulae for determining magnetizations, including the usual electromagnetic magnetization as well as the gravitomagnetic energy magnetization. The magnetization corrections to the thermal transport coefficients are explicitly demonstrated. Our theory provides a systematic approach for properly evaluating the thermal transport coefficients of magnetic systems, eliminating the unphysical divergence from the direct application of the Kubo formula. For an anomalous Hall system, the corrected thermal Hall conductivity obeys the Wiedemann-Franz law.

4 pages main text + 7 pages supplemental text, no figure. The revised version corrects quite a number of typos. The details of the derivation is included in the supplemental text

References in corpus (7)

• Observation of the Magnon Hall Effect
• Berry phase effect in anomalous thermoelectric transport
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Nature of the Phonon Hall Effect
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Rotational motion of magnon and thermal Hall effect
• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric

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