Strong-coupling perturbation theory of the Hubbard model
| Titre | Strong-coupling perturbation theory of the Hubbard model |
| Type de publication | Journal Article |
| Nouvelles publications | 2000 |
| Auteurs | Pairault S, Sénéchal D, Tremblay A-MS |
| Journal | European Physical Journal B |
| Volume | 16 |
| Pagination | 85–105 |
| Mots clés | Sans titre |
| Résumé | The strong-coupling perturbation theory of the Hubbard model is presented and carried out tu 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. |
