Limited validity of the Kubo formula for thermal conduction in modular quantum systems

Details Limited validity of the Kubo formula for thermal conduction in modular quantum systems Limited validity of the Kubo formula for thermal conduction in modular quantum systems

2006-02-02

arxiv.org/abs/cond-mat/0602042v1

Phys. Rev. B 73, 104302 (2006)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 10 figures

Scientific paper

10.1103/PhysRevB.73.104302

The Kubo formula describes a current as a response to an external field. In the case of heat conduction there is no such external field. We analyze why and to what extend it is nevertheless justified to describe heat conduction in modular quantum systems by the Kubo formula. Modular we call systems that may be described as consisting of weakly coupled identical subsystems. We explain in what sense this description applies to a large class of systems. Furthermore, we numerically evaluate the Kubo formula for some finite modular systems. We compare the results with data obtained from the direct numerical solution of the corresponding time-dependent Schroedinger equation.

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