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

D. Feinberg ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2003, vol. 36, issue 3, 419-422

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 $\tilde{\xi}=\sqrt{\hbar D/\Delta}$ , instead of the BCS coherence length $\xi_0$ . Moreover, in three dimensions, the algebraic prefactor scales as 1/r instead of 1/r 2 . The calculation involves the virtual diffusion probability of quasiparticles below the superconducting gap, in the normal and the anomalous channel. Copyright Springer-Verlag Berlin/Heidelberg 2003

Date: 2003
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DOI: 10.1140/epjb/e2003-00361-6

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