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Nonperturbative XY-model approach to strong coupling superconductivity in two and three dimensions

1999/07/26 by E. Babaev, H. Kleinert · 1 citation
Physics and Astronomy · #cond-mat #hep-ph

paper · pdf · doi:10.1103/physrevb.59.12083

published as Phys.Rev. B59 (1999) 12083-12089 · Few typos corrected. Emails that were sent to the address [email protected] in June and July 1999 were lost in a computer crash, so if your comments were not answered please send them once more

arxiv created 1999/07/26 · arxiv updated 2009/11/30

Abstract

For an electron gas with delta-function attraction we investigate the crossover from weak- to strong-coupling supercoductivity in two and three dimensions. We derive analytic expressions for the stiffness of phase fluctuations and set up effective XY-models which serve to determine nonperturbatively the temperature of phase decoherence where superconductivity breaks down. We find the transition temperature Tc as a monotonous function of the coupling strength and carrier density both in two and three dimensions, and give analytic formulas for the merging of the temperature of phase decoherence with the temperature of pair formation in the weak-coupling limit.

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