The Cooperon and the Random Matrix Model for Type-II Superconductors

Abstract

We derive the connection between the Cooperon problem in weak localization theory and the random matrix description of type-II superconductors. As magnetic field and disorder increase, an extreme type-II superconductor crosses over from a state in which the low energy quasiparticles are primarily localized and the density of states is determined by the electronic structure of individual vortices, to a `chaotic' state, in which quasiparticles are primarily extended and the density of states is determined by the random matrix description.