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Transport theory of multiterminal hybrid structures

  • R. Mélin
  • D. Feinberg

Abstract:

We derive a microscopic transport theory of multiterminal hybrid structures in which a superconductor is connected to several spin-polarized electrodes. We discuss the non-perturbative physics of extended contacts, and show that such contacts can be well represented by averaging out the phase of the electronic wave function. The intercontact Andreev reflection and elastic cotunneling conductances are identical if the phase can be averaged out, namely in the presence of at least one extended contact. The maximal conductance of a two-channel contact is proportional to (e2/h)(a0/D)2exp[-D/ξ(ω*)], where D is the distance between the contacts, a0 the lattice spacing, ξ(ω) is the superconducting coherence length, and ω* is the cross-over frequency between a perturbative regime ( ω < ω*) and a non perturbative regime ( ω* < ω < Δ).

PACS. 74.80.Fp Point contacts; SN and SNS junctions – 72.10.Bg General formulation of transport theory 

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Copyright information

© EDP Sciences, Springer-Verlag 2002

Authors and Affiliations

  • R. Mélin
    • 1
  • D. Feinberg
    • 2
  1. 1.Centre de Recherches sur les Très Basses Températures (CRTBT), CNRS BP 166X, 38042 Grenoble Cedex, FranceFR
  2. 2.Laboratoire d'Études des Propriétés Électroniques des Solides, CNRS BP 166X, 38042 Grenoble Cedex, FranceFR

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