Evolution from BCS superconductivity to Bose condensation: Analytic results for the crossover in three dimensions. Marini, M., Pistolesi, F., & Strinati, G. C. European Physical Journal B, 1(2):151–159, 1998. doi abstract bibtex 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.
@article{Marini1998,
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.},
archivePrefix = {arXiv},
arxivId = {cond-mat/9703160},
author = {Marini, M. and Pistolesi, F. and Strinati, G. C.},
doi = {10.1007/s100510050165},
eprint = {9703160},
issn = {14346028},
journal = {European Physical Journal B},
keywords = {67.40.-w Boson degeneracy and superfluidity of 4He,74.20.-z Theories and models of superconducting st,74.20.Fg BCS theory and its development},
number = {2},
pages = {151--159},
primaryClass = {cond-mat},
title = {{Evolution from BCS superconductivity to Bose condensation: Analytic results for the crossover in three dimensions}},
volume = {1},
year = {1998}
}
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