Superconducting fluctuations at arbitrary disorder strength

Abstract

We study the effect of superconducting fluctuations on the conductivity of metals at arbitrary temperatures $T$ and impurity scattering rates ${\tau }^{-1}$. Using the standard diagrammatic technique but in the Keldysh representation, we derive the general expression for the fluctuation correction to the dc conductivity applicable for any space dimensionality and analyze it the case of the film geometry. We observe that the usual classification in terms of the Aslamazov-Larkin, Maki-Thompson and density-of-states diagrams is to some extent artificial since these contributions produce similar terms, which partially cancel each other. In the diffusive limit, our results fully coincide with recent calculations in the Keldysh technique. In the ballistic limit near the transition, we demonstrate the absence of a divergent term $(T\tau {)}^2$ attributed previously to the density-of-states contribution. In the ballistic limit far above the transition, the temperature-dependent part of the conductivity correction is shown to scale roughly as $T\tau$.

17 pages, 7 figures. A figure illustrating the temperature dependence of the fluctuation correction is added; the sign of the high-temperature asymptote in the ballistic case is fixed

References in corpus (5)

• Electron transport in disordered graphene
• Nature of the Quantum Metal in a Two-Dimensional Crystalline Superconductor
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Fluctuation conductivity in disordered superconducting films
• Subgap states in disordered superconductors with strong magnetic impurities

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• Transport and spectral signatures of transient fluctuating superfluids in the absence of long-range order
• Superconductivity suppression in disordered films: Interplay of two-dimensional diffusion and three-dimensional ballistics
• Critical Viscosity of a Fluctuating Superconductor
• Restoring gauge invariance in conventional fluctuation corrections to a superconductor
• The effect of superconducting fluctuations on the ac conductivity of a 2D electron system in the diffusive regime
• Fluctuation conductivity in ultraclean multicomponent superconductors