Analytical Results for the Grand-Canonical Partition Function for Unidimensional Hubbard Model up to Order $\beta^5$

I. C. Charret; E. V. Correa Silva; S. M. de Souza; M. T. Thomaz

Analytical Results for the Grand-Canonical Partition Function for Unidimensional Hubbard Model up to Order $\beta^5$

Strongly Correlated Electrons 2008-02-03 v1 Statistical Mechanics

Authors: I. C. Charret , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

Abstract

We calculate the exact analytical coefficients of the $\beta$ expansion of the grand-canonical partition function of the unidimensional Hubbard model up to order $\beta^5$ , using an alternative method, based on properties of the Grassmann algebra. The results derived are non-perturbative and no restrictions on the set of parameters that characterize the model are required. By applying this method we obtain analytical results for the thermodynamical quantities, in the high-temeprature limit, for arbitrary density of electrons in the unidimensional chain.

Keywords

Hubbard model grand-canonical partition function Grassmann algebra high-temperature expansion one-dimensional system thermodynamic quantities

Cite

@article{arxiv.cond-mat/9705241,
  title  = {Analytical Results for the Grand-Canonical Partition Function for Unidimensional Hubbard Model up to Order $\beta^5$},
  author = {I. C. Charret and E. V. Correa Silva and S. M. de Souza and M. T. Thomaz},
  journal= {arXiv preprint arXiv:cond-mat/9705241},
  year   = {2008}
}

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Plin TeX, 30 pages, 7 Encapsulated PostScript figures (uses epsf and rotate)

Analytical Results for the Grand-Canonical Partition Function for Unidimensional Hubbard Model up to Order $\beta^5$

Abstract

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