Evolution from BCS Superconductivity to Bose Condensation: Analytic Results for the crossover in three dimensions

Details Evolution from BCS Superconductivity to Bose Condensation: Analytic Results for the crossover in three dimensions Evolution from BCS Superconductivity to Bose Condensation: Analytic Results for the crossover in three dimensions

1997-03-17

arxiv.org/abs/cond-mat/9703160v1

Eur. Phys. J. 1, 151 (1998)

Physics

Condensed Matter

Superconductivity

9 pages, 5 figures in the text. Uses RevTeX and multicol.sty

Scientific paper

10.1007/s100510050165

We provide an analytic solution for the mean-field equations and for the relevant physical quantities at the Gaussian level, in terms of the complete elliptic integrals of the first and second kinds, for the crossover problem from BCS superconductivity to Bose-Einstein condensation of a three-dimensional system of free fermions interacting via an attractive contact potential at zero temperature. This analytic solution enables us to follow the evolution between the two limits in a particularly simple and transparent way, as well as to verify the absence of singularities during the evolution.

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