https://doi.org/10.1007/s100510070253
Strong-coupling perturbation theory of the Hubbard model
1
Centre de Recherche sur les Propriétés Électroniques de Matériaux
Avancés et Département de Physique,
Université de Sherbrooke, Sherbrooke, Québec, Canada J1K
2R1
2
Institut canadien de recherches avancées, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K
2R1
Corresponding author: a dsenech@physique.usherb.ca
Received:
25
October
1999
Published online: 15 July 2000
The strong-coupling perturbation theory of the Hubbard model is presented and
carried out to order 
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
