Thermal vector potential theory of transport induced by temperature
gradient
release_pdyg5exhgnf4ll2hso43k424bm
by
Gen Tatara
2015
Abstract
A microscopic formalism to calculate thermal transport coefficients is
presented based on a thermal vector potential, whose time-derivative is related
to a thermal force. The formalism is free from unphysical divergences reported
to arise when Luttinger's formalism is applied naively, because the equilibrium
(\textquoteleft diamagnetic\textquoteright) currents are treated consistently.
The mathematical structure for thermal transport coefficients are shown to be
identical with the electric ones if the electric charge is replaced by energy.
The results indicates that the thermal vector potential couples to energy
current via the minimal coupling.
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