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Fluctuations in granular superconductors

R. S. Fishman

DOI 10.1103/PhysRevB.39.7228 · Physical Review B

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Abstract

By expanding the order parameter for an array of Josephson-coupled grains in powers of 1/z, where z is the number of nearest neighbors, I systematically incorporate the effect of phase fluctuations. The correction of order 1/z vanishes when the mean-field solution is known to be exact, for α=zJ/U=∞ and T*=T/zJ=0. For larger T* and smaller α, the first-order correction increases until it diverges at the mean-field transition temperature.

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