Grand Canonical Partition Function for Unidimensional Systems: Application to Hubbard Model up to Order beta^3
Condensed Matter
2016-08-31 v1
Abstract
We exploit the grassmannian nature of the variables involved in the path integral expression of the grand canonical partition function for self--interacting fermionic models to show, in one-space dimension, a general relation among the terms of it expansion in the high temperature limit and a combination of co-factors of a suitable matrix with commuting entries. As an application, we apply this framework to calculate the exact coefficients, up to order \beta^3, of the expansion of the grand canonical partition function for the Hubbard model in d=(1+1) in the high temperature limit. The results are valid for any set of parameters that characterize the model.
Keywords
Cite
@article{arxiv.cond-mat/9607171,
title = {Grand Canonical Partition Function for Unidimensional Systems: Application to Hubbard Model up to Order beta^3},
author = {I. C. Charret and S. M. de Souza and M. T. Thomaz and E. V. Correa Silva},
journal= {arXiv preprint arXiv:cond-mat/9607171},
year = {2016}
}
Comments
41 pages, plain TeX, no figures