Abstract

We develop a theory for the vortex unbinding transition in homogeneously disordered superconducting films. This theory allows to incorporate the effects of quantum, mesoscopic and thermal fluctuations stemming from length scales ranging from the superconducting coherence length down to the Fermi wavelength.
In particular, we explain how the renormalization group treatment of the diffusive non-linear sigma model can be extended to the superconducting side of the transition. Furthermore, we derive the mesoscopic fluctuations of paramaters in the Ginzburg Landau functional.

Within our theory, we are in the position to determine the dependence of essential observables
(including the vortex unbindung temperature, the superconducting density and the temperature dependent resistivity) on
microscopic characteristics such as the disorder induced scattering time.