Scaling theory of conduction through a normal-superconductor microbridge

Abstract
The length dependence of the resistance of a disordered normal-metal wire attached to a superconductor is computed. The scaling of the transmission eigenvalue distribution with length is obtained exactly in the metallic limit by a transformation onto the isobaric flow of a two-dimensional ideal fluid. The resistance has a minimum for lengths near l/Γ, with l the mean free path and Γ the transmittance of the superconductor interface.
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