Full counting statistics of multiple Andreev reflections |
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Authors: | Cuevas J C Belzig W |
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Affiliation: | Institut für Theoretische Festk?rperphysik, Universit?t Karlsruhe, D-76128 Karlsruhe, Germany. |
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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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