Quantum superconductor-metal transition in a proximity array

Abstract

A theory of the zero-temperature superconductor-metal transition is developed for an array of superconductive islands (of size d) coupled via a disordered two-dimensional conductor with the dimensionless conductance g>>1. At T=0 macroscopically superconductive state of the array with the lattice spacing b>>d is destroyed at g < gc ≈ 0.1 ln2(b/d). At high temperatures the normal-state resistance between neighboring islands at b=bc is much smaller than h/4e2.

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