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Full counting statistics of multiple Andreev reflections

J. C. Cuevas·W. Belzig
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Abstract

We derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a multinomial distribution of processes, in which multiple charges ne (n=1,2,3,...) are transferred through the contact. For zero temperature we obtain analytical expressions for the probabilities of the multiple Andreev reflections. The current, shot noise and high current cumulants in a variety of situations can be obtained from our result.

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J. C. Cuevas, W. Belzig. 2003-08-04. Full counting statistics of multiple Andreev reflections. https://doi.org/10.1103/physrevlett.91.187001

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