A randomly diluted lattice of Josephson tunnel junctions is used as a model to generate a replicated Landau-Ginzburg field theory describing the properties of diluted superconductors near the percolation threshold. The model predicts Meissner and Abrikosov phases and a spin-glass phase with frozen currents, a nonvanishing Edwards-Anderson order parameter, and power-law decay of correlations of the magnetic field.
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John et al. (1985) studied this question.
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