Spontaneous inhomogeneity Spontaneous inhomogeneity in disordered superconducting filmsin disordered superconducting films

Mikhail SkvortsovMikhail Feigelman

Landau Institute, Moscow

Leiden, 26 Aug 2011

Two mechanism ofTwo mechanism of superconductivitysuperconductivity suppressionsuppression

Coulomb suppression of Coulomb suppression of TTcc & mesoscopic & mesoscopic fluctuationsfluctuations

Can these tiny mesoscopic

fluctuations become important?

OutlineOutline

Coulomb + disorder in 2D Coulomb + disorder in 2D superconducting filmssuperconducting films

Coulomb suppression ofCoulomb suppression of TTcc

clean dirty

Two equivalent approaches (RG or not Two equivalent approaches (RG or not RG)RG)

Mean-field structure of the Mean-field structure of the superconducting statesuperconducting state

Mesoscopic fluctuationsMesoscopic fluctuations

PLAN

Mesoscopic fluctuationsMesoscopic fluctuations

Correlation functionsCorrelation functions

Correlation function of Correlation function of

Correlation function of Correlation function of

Vicinity of Vicinity of TTcc

Vicinity of Vicinity of TTcc

Mesoscopic vs. thermal fluctuations Mesoscopic vs. thermal fluctuations near near TTcc

Low temperaturesLow temperatures

Superconductor with fluctuating Superconductor with fluctuating ((rr))

Superconductor with fluctuating Superconductor with fluctuating ((rr))

ConclusionConclusion

FERMIONICMECHANISM

BOSONICMECHANISM