S- and D-Wave Pairing in Short Coherence Length Superconductors

We derive an appropriate Landau-Ginzburg-Wilson effective action to describe the nearest neighbour attractive Hubbard model. This allows us to discuss both the small V (BCS) limit and the large V (Bose-Einstein) limit within the same framework. The model is particularly interesting as it exhibits both extended s-wave and d-wave solutions as well as an intermediate s+id phase and an unstable p-wave phase. We note that in the large V limit, as pairs become localised on bonds, the s- and d-wave solutions become degenerate.