The High-Field Superconducting Transition induced by Correlated Disorder

The "glassy" superconducting transition at high magnetic fields can be induced by columnar disorder. A model is proposed in which the thermodynamics of Bose condensation of Cooper pairs into the lowest Landau-level eigenstate of the random potential can be solved exactly. The solution reflects a peculiar character of the high-field limit: for example, the effective dimensionality of the transition is shown to be a function of the magnetic field.