Statistics of Heat Transfer in Mesoscopic Circuits

Details Statistics of Heat Transfer in Mesoscopic Circuits Statistics of Heat Transfer in Mesoscopic Circuits

2003-12-17

arxiv.org/abs/cond-mat/0312430v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 6 figures

Scientific paper

10.1103/PhysRevB.69.155334

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat dissipation from a biased mesoscopic conductor into the adjacent reservoirs. We then consider energy dissipation in an electrical circuit around a mesoscopic conductor. We derive the conditions under which measurements of the fluctuations of heat dissipation can be used to investigate higher order cumulants of the charge counting statistics of a mesoscopic conductor.

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