Theory of Charge and Heat Polarizations with the Keldysh Formalism

Abstract

We investigate the heat polarization, a heat analog of the charge polarization, by using the gauge-covariant Keldysh formalism. In contrast to the charge-heat analogy naively expected, we find that the heat polarization does not appear spontaneously, since it consists not only of the heat-transfer contribution but of the heat-generation contribution, leading to the Mott rule. Nonetheless, it can be induced by a torsional magnetic field in $(3+1)$-D topological insulators and superconductors, which is described by the temporal part of the Nieh-Yan action.

5 pages, no figures

References in corpus (3)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Theory of orbital magnetoelectric response
• Theory of Non-Equilibirum States Driven by Constant Electromagnetic Fields: Non-Commutative Quantum Mechanics in the Keldysh Formalism

Cited by in corpus (7)

• Heat transport as torsional responses and Keldysh formalism in a curved spacetime
• Theory of orbital magnetic quadrupole moment and magnetoelectric susceptibility
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Current-induced spin polarization of a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Spin-resolved orbital magnetization in Rashba two-dimensional electron gas
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Non-linear response in extended systems: a real-time approach