1999/05/17 by Stephane Pairault, David Senechal, A. -M. S. Tremblay · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1007/s100510070253
published as Eur. Phys. J. B 16, 85 (2000) · 28 pages, 19 figures
arxiv created 1999/05/17 · arxiv updated 2009/11/30
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.