An expansion in powers of 1/z is used to study the effect of phase fluctuations on the transition temperature of a granular superconductor, modeled as an array of Josephson junctions. The lowest-order correction to Tc/zJ diverges to negative infinity at the grain diameter {α}=zJ/U=2 and reaches the value -1/2z when {α}={∞}, which corresponds to the classical XY model. The lowest-order correction to the critical grain diameter is also calculated.
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R. S. Fishman (1989) studied this question.
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