Grassmann Algebra and Fermions at Finite Temperature
Statistical Mechanics
2015-06-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9809274,
title = {Grassmann Algebra and Fermions at Finite Temperature},
author = {I. C. Charret and E. V. Corrêa Silva and S. M. de Souza and O. Rojas Santos and M. T. Thomaz},
journal= {arXiv preprint arXiv:cond-mat/9809274},
year = {2015}
}
Comments
Latex, 18 pages, no figures