Linear to quadratic crossover of Cooper pair dispersion relation

Details Linear to quadratic crossover of Cooper pair dispersion relation Linear to quadratic crossover of Cooper pair dispersion relation

2000-08-31

arxiv.org/abs/cond-mat/0008478v1

Physica C 351 (2001) 341-348

Physics

Condensed Matter

Superconductivity

13 pages plus 2 figures

Scientific paper

10.1016/S0921-4534(00)01638-5

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.

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