Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-12-27
European Physical Journal B 43 (2005) 529
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Submitted to Eur. Phys. J. B
Scientific paper
10.1140/epjb/e2005-00087-5
We calculate the distribution of current fluctuations in two simple exclusion models. Although these models are classical, we recover even for small systems such as a simple or a double barrier, the same distibution of current as given by traditionnal formalisms for quantum mesoscopic conductors. Due to their simplicity, the full counting statistics in exclusion models can be reduced to the calculation of the largest eigenvalue of a matrix, the size of which is the number of internal configurations of the system. As examples, we derive the shot noise power and higher order statistics of current fluctuations (skewness, full counting statistics, ....) of various conductors, including multiple barriers, diffusive islands between tunnel barriers and diffusive media. A special attention is dedicated to the third cumulant, which experimental measurability has been demonstrated lately.
Derrida Bernard
Doucot Benoit
Roche Philippe-E.
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