title: Energy magnetization and the thermal Hall effect.
abstract: We obtain a set of general formulas 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 a noninteracting anomalous Hall system, the corrected thermal Hall conductivity obeys the Wiedemann-Franz law.
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Tao
authors.initials: T
authors.lastname: Qin
authors.forename: Qian
authors.initials: Q
authors.lastname: Niu
authors.forename: Junren
authors.initials: J
authors.lastname: Shi