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We propose a method to calculate the unbinding of a gas of thermally activated vortex pairs above a critical temperature T₂₃ lying below the bulk transition temperature T₁₂ₒ of thin superconducting films, as a function of temperature and applied magnetic field. We hence determine the phase diagram of the films and their resistivity as a function of field and temperature.
Doniach et al. (Mon,) studied this question.