Physics – Condensed Matter – Superconductivity
Scientific paper
2001-09-26
Phys. Rev. B 66, 054515 (2002)
Physics
Condensed Matter
Superconductivity
11 pages, 5 figures. Two appendices and new references added
Scientific paper
10.1103/PhysRevB.66.054515
We study the evolution of the superconducting coherence length $\xi_0$ from weak to strong coupling, both within a s-wave and a d-wave lattice model. We show that the identification of $\xi_0$ with the Cooper-pair size $\xi_{pair}$ in the weak-coupling regime is meaningful only for a fully-gapped (e.g., s-wave) superconductor. Instead in the d-wave superconductor, where $\xi_{pair}$ diverges, we show that $\xi_0$ is properly defined as the characteristic length scale for the correlation function of the modulus of the superconducting order parameter. The strong-coupling regime is quite intriguing, since the interplay between particle-particle and particle-hole channel is no more negligible. In the case of s-wave pairing, which allows for an analytical treatment, we show that $\xi_0$ is of order of the lattice spacing at finite densities. In the diluted regime $\xi_0$ diverges, recovering the behavior of the coherence length of a weakly interacting effective bosonic system. Similar results are expected to hold for d-wave superconductors.
Benfatto Lara
Caprara Sergio
Castellani Claudio
Toschi Alessandro
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