paper

Quantum Superconductor-Metal Transition in a 2D Proximity-Coupled Array

arXiv:cond-mat/9803006 · doi:10.1016/S0301-0104(98)00075-5

Abstract

We construct a theory of quantum fluctuatons in a regular array of small superconductive islands connected via low-resistance tunnel contacts to a dirty thin metal film. Electron-electron interaction in the film is assumed to be repulsive. The system is macroscopically superconductive when the distance between neighbouring islands is short enough. The zero-temperature phase transition from superconductive to normal-conductive state is shown to occur with the increase of distance between superconductive islands; the logarithm of the critical distance is proportional to the low-frequency zero-voltage Andreev conductance between the SC island and the film. This critical distance is always much less the than the two-dimensional localization length, so the considered effect develops when weak-localization corrections are still small. The dependence of the critical temperature on the film conductance and inter-island distance is found.

RevTex, 8 pages, to be published in a special issue of "Chemical Physics" in memory of the late Professor V. I. Mel'nikov

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