Strong-Coupling Perturbation Theory of the Hubbard Model
Abstract
The strong-coupling perturbation theory of the Hubbard model is presented and carried out to order (t/U)^5 for the one-particle Green function in arbitrary dimension. The spectral weight A(k,omega) is expressed as a Jacobi continued fraction and compared with new Monte-Carlo data of the one-dimensional, half-filled Hubbard model. Different regimes (insulator, conductor and short-range antiferromagnet) are identified in the temperature--hopping integral (T,t) plane. This work completes a first paper on the subject (Phys. Rev. Lett. 80, 5389 (1998)) by providing details on diagrammatic rules and higher-order results. In addition, the non half-filled case, infinite resummations of diagrams and the double occupancy are discussed. Various tests of the method are also presented.
Keywords
Cite
@article{arxiv.cond-mat/9905242,
title = {Strong-Coupling Perturbation Theory of the Hubbard Model},
author = {Stephane Pairault and David Senechal and A. -M. S. Tremblay},
journal= {arXiv preprint arXiv:cond-mat/9905242},
year = {2009}
}
Comments
28 pages, 19 figures