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Model for the role of oxygen defects in oxygen-defect superconductors.

We propose that oxygen defects provide a mechanism for pairing enhancement in oxide-defect superconductors. A model is formulated and mean-field Gorkov equations are derived and solved numerically for a two-dimensional realization of the model. We show that very high-temperature critical temperatures are not difficult to understand in such models. Several experimental features of the superconducting oxides, including spin-glasslike properties, sensitivity to oxygen concentration and temperature dependence of positron annihilation times, appear to be qualitatively consistent with such a model.