Superconducting fluctuations at low temperature

V. M. Galitski; A. I. Larkin

doi:10.1103/PhysRevB.63.174506

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Superconducting fluctuations at low temperature

V. M. Galitski, A. I. Larkin

DOI 10.1103/PhysRevB.63.174506 · Physical Review B

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Abstract

The effect of fluctuations on the transport and thermodynamic properties of two-dimensional superconductors in a perpendicular magnetic field is studied at low temperature T≪Tc0. The fluctuation conductivity is calculated in the framework of perturbation theory with the help of the usual diagram technique. It is shown that in the dirty case the Aslamazov-Larkin, Maki-Thompson, and density of states contributions are of the same order. At extremely low temperature T/Tc0≪[H−Hc2(0)]/Hc2(0) the total fluctuation correction to the normal conductivity is negative in the dirty limit and depends on the external magnetic field logarithmically δσ∝ln[H−Hc2(0)]. In the nonlocal clean limit, the Aslamazov-Larkin contribution to conductivity is evaluated with the aid of Helfand-Werthamer theory. The longitudinal and Hall conductivities are found. The fluctuating magnetization is calculated in the one-loop and two-loop approximations.