From a Hubbard dimer to a Hubbard model in d dimensions: a path integral solution

1 January 1989

journal article
Published by IOP Publishing in Journal of Physics: Condensed Matter

Vol. 1 (1) , 93-108
https://doi.org/10.1088/0953-8984/1/1/008

Abstract

A new analytical method is proposed for solving the Hubbard model in d-dimensions. The method permits, in principle, the study of the Hubbard model at any temperature and any band filling. The accuracy of the method is tested against known Bethe ansatz results of Lieb and Wu (1968), and against known weak- and strong-coupling expansion results. The one-dimensional path integral solution obtained for the ground-state (half-filled band case) is in excellent qualitative agreement with Bethe ansatz results for all couplings and exactly reproduces weak- and strong-coupling expansion results.

Keywords

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