Energy Magnetization and Thermal Hall Effect

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevLett.107.236601

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.

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