BCS to Bose Crossover in Anisotropic Superconductors

Details BCS to Bose Crossover in Anisotropic Superconductors BCS to Bose Crossover in Anisotropic Superconductors

1999-09-03

arxiv.org/abs/cond-mat/9909043v1

Physics

Condensed Matter

Superconductivity

20 pages inc. 13 figures

Scientific paper

10.1103/PhysRevB.61.1433

In this work we use functional integral techniques to examine the nearest neighbour attractive Hubbard model on a quasi-2D lattice. It is a simple phenomenological model for the high-Tc cuprates that allows both extended (non-local) s- and d-wave singlet superconductivity as well as mixed symmetry states. The Hartree-Gor'kov mean field theory of the model has a finite temperature phase diagram which shows a transition from pure s-wave to pure d-wave superconductivity, via a mixed symmetry s+id state, as a function of doping. Including Gaussian fluctuations we examine the crossover from weak-coupling BCS superconductivity to the strong-coupling Bose-Einstein condensation of composite s- or d-wave bosons and comment on the origin and symmetry of the pseudogap.

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