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arxiv: 1310.8043 · v5 · pith:XHGGGHKBnew · submitted 2013-10-30 · ❄️ cond-mat.mes-hall

Heat transport as torsional responses and Keldysh formalism in a curved spacetime

classification ❄️ cond-mat.mes-hall
keywords heatresponsesthermalconductivityframeworkgaugehallkeldysh
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We revisit a theory of heat transport in the light of a gauge theory of gravity and find the proper heat current with a corresponding gauge field, which yields the natural definitions of the heat magnetization and the Kubo-formula contribution to the thermal conductivity as torsional responses. We also develop a general framework for calculating gravitational responses by combining the Keldysh and Cartan formalisms. By using this framework, we explicitly calculate these two quantities and reproduce the Wiedemann-Franz law for the thermal Hall conductivity in the clean and non-interacting case. Finally, we discuss an effective action for the quantized thermal Hall effect in $(2 + 1)$-D topological superconductors.

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