Thermodynamics of Energy Magnetization

Abstract

We construct the thermodynamics of energy magnetization in the presence of gravitomagnetic field. We show that the free energy must be modified to account for the modification of the energy current operator in the presence of a confining potential. The explicit expression of the energy magnetization is derived for a periodic system, and the Streda formula for the thermal Hall conductivity is rigorously established. We demonstrate our theory of the energy magnetization and the Streda formula in a Chern insulator.

arXiv comment10 pages, 3 figures, fixed reference list

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Cited by in corpus (8)

• Thermal transport, geometry, and anomalies
• Quantum Theory of Nonlinear Thermal Response
• Microscopic formulas for thermoelectric transport coefficients in lattice systems
• Torsion, energy magnetization and thermal Hall effect
• Extrinsic contribution to bosonic thermal Hall transport
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Theory of thermopolarization effect
• Vortical currents and reciprocal relations for transport coefficients in the electron hydrodynamic regime