Scaling theory of conduction through a normal-superconductor microbridge

C. W. J. Beenakker; B. Rejaei; J. A. Melsen

doi:10.1103/PhysRevLett.72.2470

Scaling theory of conduction through a normal-superconductor microbridge

C. W. J. Beenakker, B. Rejaei, and J. A. Melsen

Phys. Rev. Lett. 72, 2470 – Published 11 April 1994

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.