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Full counting statistics of multiple Andreev reflections.

J C Cuevas1, W Belzig

  • 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany.

Physical Review Letters
|November 13, 2003
PubMed
Summary

We present a full distribution for particle transmission through superconducting point contacts. This research details charge transport dominated by multiple Andreev reflections, crucial for understanding quantum phenomena.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Transport

Background:

  • Superconducting point contacts are crucial for studying quantum phenomena.
  • Understanding charge transport mechanisms is key to advancing quantum devices.

Purpose of the Study:

  • To derive the full distribution of transmitted particles through superconducting point contacts.
  • To analyze charge transport dominated by multiple Andreev reflections under voltage bias.

Main Methods:

  • Derivation of the full distribution of transmitted particles.
  • Analysis of counting statistics as a multinomial distribution.
  • Obtaining analytical expressions for multiple Andreev reflection probabilities at zero temperature.

Main Results:

  • The charge transport is dominated by multiple Andreev reflections.

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  • Counting statistics follows a multinomial distribution for transferred charges (n=1,2,3,...).
  • Analytical expressions for multiple Andreev reflection probabilities are derived for zero temperature.

    • Conclusions:

    • The derived distribution provides a comprehensive framework for understanding charge transport in superconducting point contacts.
    • The results enable the calculation of current, shot noise, and high current cumulants.
    • This work offers fundamental insights into quantum transport phenomena in mesoscopic systems.