Theoretical interpretation of resistive transition data from arrays of superconducting weak links

Abstract
The effects of a vortex-unbinding phase transition on the properties of a square lattice of superconducting weak links are discussed. Formulas relating bulk static quantities such as the penetration depth and transition temperature to single-junction parameters are given, as well as formulas for the current- and temperature-dependent resistance. Except for temperatures very near the transition temperature, these results can differ significantly from the continuum results of Halperin and Nelson, and thus may be more appropriate for description of junction arrays and some granular films.