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Full Counting Statistics of Multiple Andreev Reflections

2003/08/04 by Juan Carlos Cuevas, J. C. Cuevas, Wolfgang Belzig +1
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.91.187001

published as Phys. Rev. Lett. 91, 187001 (2003). · revtex4, 5 pages, 3 figures

arxiv created 2003/08/04 · openalex publication_date 2003/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations