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Superconducting fluctuations at low temperature

2000/11/09 by Victor Galitski, A. I. Larkin · 2 citations
Physics and Astronomy · #Condensed matter physics #Conductivity #Magnetic field #Magnetization #Order (exchange) #Perturbation theory (quantum mechanics) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Theoretical and Computational Physics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.63.174506

published as Phys. Rev. B 63, 174506 (2001) · 12 pages, 4 figures, submitted to Phys. Rev. B

arxiv created 2000/11/09 · openalex publication_date 2001/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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\ensuremath≪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\ensuremath≪[H\ensuremath-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 \ensuremathδ\ensuremathσ\ensuremath∝ln[H\ensuremath-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.

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