Ginzburg-Landau theory of superconductors with short coherence length

Details Ginzburg-Landau theory of superconductors with short coherence length Ginzburg-Landau theory of superconductors with short coherence length

1997-03-13

arxiv.org/abs/cond-mat/9703129v2

Physics

Condensed Matter

Superconductivity

12 pages, RevTeX, 6 postscript figures, resubmitted with minor changes in section III, to appear in Physical Review B

Scientific paper

10.1103/PhysRevB.56.9004

We consider Fermions in two dimensions with an attractive interaction in the singlet d-wave channel of arbitrary strength. By means of a Hubbard-Stratonovich transformation a statistical Ginzburg-Landau theory is derived, which describes the smooth crossover from a weak-coupling BCS superconductor to a condensate of composite Bosons. Adjusting the interaction strength to the observed slope of H_c2 at T_c in the optimally doped high-T_c compounds YBCO and BSCCO, we determine the associated values of the Ginzburg-Landau correlation length xi and the London penetration depth lambda. The resulting dimensionless ratio k_F xi(0) approx 5-8 and the Ginzburg-Landau parameter kappa=lambda xi approx 90-100 agree well with the experimentally observed values. These parameters indicate that the optimally doped materials are still on the weak coupling side of the crossover to a Bose regime.

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