Microscopic derivation of the Ginzburg-Landau equations for a d-wave superconductor

The Ginzburg-Landau (GL) equations for a dx2-y2 superconductor are derived within the context of two microscopic lattice models used to describe the cuprates: the extended Hubbard model and the antiferromagnetic–van Hove model. Both models have pairing on nearest-neighbor links, consistent with theories for d-wave superconductivity mediated by spin fluctuations. Analytical results obtained for the extended Hubbard model at low electron …