Random Scattering Matrices and the Circuit Theory of Andreev Conductances

Details Random Scattering Matrices and the Circuit Theory of Andreev Conductances Random Scattering Matrices and the Circuit Theory of Andreev Conductances

1996-08-20

arxiv.org/abs/cond-mat/9608084v1

Physics

Condensed Matter

12 pages, RevTeX, including 2 figures with epsf

Scientific paper

10.1209/epl/i1997-00230-6

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The junctions are each ascribed a scattering matrix which is averaged over the circular orthogonal ensemble, using recently-developed techniques. The results for the electrical conductance reproduce and extend Nazarov's circuit theory, thus bridging between the scattering and the bulk approaches. The method is also applied to the heat conductance.

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