Grassmann Algebra and Fermions at Finite Temperature

Details Grassmann Algebra and Fermions at Finite Temperature Grassmann Algebra and Fermions at Finite Temperature

1998-09-21

arxiv.org/abs/cond-mat/9809274v1

Physics

Condensed Matter

Statistical Mechanics

Latex, 18 pages, no figures

Scientific paper

For any d-dimensional self-interacting fermionic model, all coefficients in the high-temperature expansion of its grand canonical partition function can be put in terms of multivariable Grassmann integrals. A new approach to calculate such coefficients, based on direct exploitation of the grassmannian nature of fermionic operators, is presented. We apply the method to the soluble Hatsugai-Kohmoto model, reobtaining well-known results.

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