Physics – Condensed Matter – Superconductivity
Scientific paper
2000-04-13
Phys. Rev. B 62, (2000) 8671-8674
Physics
Condensed Matter
Superconductivity
11 pages plus 3 figures, revised version accepted in Physical Review B
Scientific paper
10.1103/PhysRevB.62.8671
Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction. \ Also considered are Cooper pairs (CPs) with nonzero center-of-mass momentum (CMM)--usually neglected in BCS theory--and their binding energy is expanded analytically in powers of the CMM up to quadratic terms. A Fermi-sea-dependent {\it linear} term in the CMM dominates the pair excitation energy in weak coupling (also called the BCS regime) while the more familiar quadratic term prevails in strong coupling (the Bose regime). The crossover, though strictly unrelated to BCS theory {\it per se,} is studied numerically as it is expected to play a central role in a model of superconductivity as a Bose-Einstein condensation of CPs where the transition temperature vanishes for all dimensionality $d\leq 2$ for quadratic dispersion, but is {\it nonzero} for all $d\geq 1$ for linear dispersion.
Adhikari Sadhan K.
Casas M.
de Llano M.
Fortes M.
Puente Antonio
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