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

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

1999-07-09

arxiv.org/abs/cond-mat/9907138v2

Phys.Rev. B59 (1999) 12083-12089

Physics

Condensed Matter

Few typos corrected. Emails that were sent to the address egor@teorfys.uu.se in June and July 1999 were lost in a computer cra

Scientific paper

10.1103/PhysRevB.59.12083

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 T_c 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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