Stochastic path integral formulation of full counting statistics

We derive a stochastic path integral representation of counting statistics in semiclassical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitra...

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Bibliographic Details
Published in:Physical review letters 2003-05, Vol.90 (20), p.206801-206801, Article 206801
Main Authors: Pilgram, S, Jordan, A N, Sukhorukov, E V, Büttiker, M
Format: Article
Language:English
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Summary:We derive a stochastic path integral representation of counting statistics in semiclassical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitrary number of counting fields and generalized charges. The counting statistics is given by the saddle-point approximation to the path integral, and fluctuations around the saddle point are suppressed in the semiclassical approximation. We use this approach to derive the current cumulants of a chaotic cavity in the hot-electron regime.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.90.206801