Eur. Phys. J. B 36, 419-422 (2003)
https://doi.org/10.1140/epjb/e2003-00361-6

Andreev scattering and cotunneling between two superconductor-normal metal interfaces: the dirty limit

Laboratoire d'Études des Propriétés Électroniques des Solides, Centre National de la Recherche Scientifique, BP 166, 38042 Grenoble Cedex 9, France

Corresponding author: ^a feinberg@grenoble.cnrs.fr

Received: 17 June 2003
Revised: 10 October 2003
Published online: 23 December 2003

Abstract

Crossed Andreev reflections and cotunneling occur between two neighbouring superconductor- normal metal or superconducting-ferromagnet interfaces. Previous works assumed a clean BCS superconductor. Here the calculation of the corresponding crossed conductance terms is generalized to a dirty superconductor. The range of the effect is shown to be the coherence length , instead of the BCS coherence length . Moreover, in three dimensions, the algebraic prefactor scales as 1/r instead of . The calculation involves the virtual diffusion probability of quasiparticles below the superconducting gap, in the normal and the anomalous channel.