Strong-coupling perturbation theory of the Hubbard model |
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| Authors: | S Pairault D Sénéchal A-MS Tremblay |
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| Institution: | (1) Centre de Recherche sur les Propriétés électroniques de Matériaux Avancés et Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1, CA;(2) Institut canadien de recherches avancées, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1, CA |
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| 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 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.
Received 25 October 1999 |
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| Keywords: | PACS 71 10 Fd Lattice fermion models (Hubbard model etc ) - 71 10 Hf Non-Fermi-liquid ground states electron phase diagrams and phase transitions in model systems - 71 10 Ca Electron gas Fermi gas |
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