English

Effective interactions and superconductivity in the t-J model in the large-N limit

Superconductivity 2009-10-31 v1

Abstract

The feasibility of a perturbation expansion for Green's functions of the t-J model directly in terms of X-operators is demonstrated using the Baym- Kadanoff functional method. As an application we derive explicit expressions for the kernel of the linearized equation for the superconducting order parameter in leading order of a 1/N expansion. The linearized equation is solved numerically on a square lattice. We find that a reasonably strong instability occurs only for even frequency pairing with d-wavelike symmetry. Results for the transition temperature and the effective interaction are given as a function of doping.

Keywords

Cite

@article{arxiv.cond-mat/9808283,
  title  = {Effective interactions and superconductivity in the t-J model in the large-N limit},
  author = {R. Zeyher and A. Greco},
  journal= {arXiv preprint arXiv:cond-mat/9808283},
  year   = {2009}
}

Comments

31 pages, 11 figures