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Thouless energy of a superconductor from non local conductance fluctuations

Author

Listed:
  • S. Duhot
  • R. Mélin

Abstract

We show that a spin-up electron from a normal metal entering a superconductor propagates as a composite object consisting of a spin-down hole and a pair in the condensate. This leads to a factorization of the non local conductance as two local Andreev reflections at both interfaces and one propagation in the superconductor, which is tested numerically within a one dimensional toy model of reflectionless tunneling. Small area junctions are characterized by non local conductance fluctuations. A treatment ignoring weak localization leads to a Thouless energy inverse proportional to the sample size, as observed in the numerical simulations. We show that weak localization can have a strong effect, and leads to a coupling between evanescent quasiparticles and the condensate by Andreev reflections “internal” to the superconductor. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • S. Duhot & R. Mélin, 2006. "Thouless energy of a superconductor from non local conductance fluctuations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(2), pages 257-266, September.
  • Handle: RePEc:spr:eurphb:v:53:y:2006:i:2:p:257-266
    DOI: 10.1140/epjb/e2006-00372-9
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