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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 2 (1998) pp 151-159
Evolution from BCS superconductivity to Bose condensation: analytic results for the crossover in three dimensions
M. Marini (1), F. Pistolesi (1)(2) (a), G.C. Strinati (1)
(1) Dipartimento di Matematica e Fisica, Sezione INFM, Università di Camerino, 62032 Camerino, Italy
(2) Institut Laue-Langevin, BP 156, 38043 Grenoble Cedex 9, France
Received: 9 May 1997 / Revised: 4 August 1997 / Accepted: 6 November 1997
Abstract: 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.
PACS. 74.20.-zTheories and models of superconducting state - 74.20.FgBCS theory and its development - 67.40.-wBoson degeneracy and superfluidity of 4He
(a) e-mail: pistoles@ill.fr
Online publication: February 17, 1998
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