The High-Field Superconducting Transition induced by Correlated Disorder

TL;DR

This paper presents an exact model for the high-field superconducting transition influenced by correlated disorder, revealing how the transition's effective dimensionality varies with magnetic field, advancing understanding of disordered superconductors.

Contribution

It introduces an exactly solvable model for the Bose condensation of Cooper pairs in a disordered high-field superconductor, highlighting the field-dependent effective dimensionality of the transition.

Findings

The transition's effective dimensionality depends on the magnetic field.

The model captures the glassy superconducting transition induced by columnar disorder.

Exact thermodynamic solutions for the Bose condensation in this context are provided.

Abstract

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.