Superconductivity from a long-range repulsive interaction

The lattice model with short-range interactions (exemplified by the Hubbard model) is known to exhibit quite different features from those in the electron gas with the long-range Coulomb interaction. In order to explore how they cross over to each other, we have studied an extended Hubbard model which includes repulsions up to the 12th neighbors with the simplified fluctuation exchange (FLEX) approximation for the square lattice. We have found that (i) in the most dilute density region, spin and charge fluctuations become comparable, and s- and p-waves superconductivity become dominant, in agreement with the result for the electron gas by Takada, while (ii) the dominant spin fluctuation and its reflection on d(x2-y2) and d(xy) pairing, both the effect of lattice structure, persists well away (n greater than or similar to 0.2) from the half filling.