Expansion in 1/z for the transition temperature of granular superconductors
R. S. Fishman
DOI 10.1103/PhysRevLett.63.89 · Physical Review Letters
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Abstract
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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