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Random scattering matrices and the circuit theory of Andreev conductances

Random scattering matrices and the circuit theory of Andreev conductances

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 …