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-glass-like properties, sensitivity to oxygen concentration, and temperature dependence of positron annihilation times, appear to be qualitatively consistent with such a model.
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