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Grand Canonical Partition Function for Unidimensional Systems: Application to Hubbard Model up to Order beta^3

I. C. Charret·S. M. de Souza·M. T. Thomaz·E. V. Correa Silva
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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 β^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.

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I. C. Charret, S. M. de Souza, M. T. Thomaz, E. V. Correa Silva. 1996-07-24. Grand Canonical Partition Function for Unidimensional Systems: Application to Hubbard Model up to Order beta^3. https://arxiv.org/abs/cond-mat/9607171

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