Linear to quadratic crossover of Cooper pair dispersion relation
Abstract
Cooper pairing is studied in three dimensions to determine its binding energy for all coupling using a general separable interfermion interaction. Also considered are Cooper pairs (CPs) with nonzero center-of-mass momentum (CMM). A coupling-independent {\it linear} term in the CMM dominates the pair excitation energy in weak coupling and/or high fermion density, while the more familiar quadratic term prevails only in the extreme low-density (i.e., vacuum) limit for any nonzero coupling. The linear-to-quadratic crossover of the CP dispersion relation is analyzed numerically, and is expected to play a central role in a model of superconductivity (and superfluidity) simultaneously accommodating a BCS condensate as well as a Bose-Einstein condensate of CP bosons.
Keywords
Cite
@article{arxiv.cond-mat/0008478,
title = {Linear to quadratic crossover of Cooper pair dispersion relation},
author = {S. K. Adhikari and M. Casas and A. Puente and A. Rigo and M. Fortes and M. A. Solis and M. de Llano and A. A. Valladares and O. Rojo},
journal= {arXiv preprint arXiv:cond-mat/0008478},
year = {2009}
}
Comments
13 pages plus 2 figures