Anisotropic superconductivity in the two-dimensional Hubbard model
Marcin Mierzejewski, J. Zieliński
We address the problem of superconductivity in a system where the only many-body interactions are repulsive. The Eliashberg equations have been generalized to account for possible pairing correlations in the two-dimensional Hubbard model. Details of the two-dimensional band structure have been explicitly taken into account when considering the symmetry of the superconducting state. The pairing kernels have been discussed at low doping and at temperatures close to the superconducting transition temperature. We have proved that local Coulomb repulsion leads to attractive pairing correlations in the $d$-wave channel. Extended $s$-wave superconductivity is less likely to occur within this purely electronic model, at least in the physically interesting region of doping.
Physical review. B, Condensed matter•Nov 1, 1997•17 citations