Generalized Cooper pairing and Bose-Einstein condensation

Details Generalized Cooper pairing and Bose-Einstein condensation Generalized Cooper pairing and Bose-Einstein condensation

2003-06-30

arxiv.org/abs/cond-mat/0306726v1

Physics

Condensed Matter

Superconductivity

Scientific paper

A Bethe-Salpeter treatment of Cooper pairs (CPs) based on an ideal Fermi gas (IFG) "sea"' yields the familiar negative-energy, two-particle bound-state if two-hole CPs are ignored, but is meaningless otherwise as it gives purely-imaginary energies. However, when based on the BCS ground state, legitimate two-particle "moving" CPs emerge but as positive-energy, finite-lifetime resonances for nonzero center-of-mass momentum, with a \textit{linear}dispersion leading term. Bose-Einstein condensation of such pairs may thus occur in exactly two dimensions as it cannot with quadratic dispersion.

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