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Physical review. B, Condensed matter

Validity of the strong-coupling expansion of the two-dimensional Hubbard model

Barry Friedman, X. Y. Chen, W. P. Su

Published Sep 1, 1989• 8 citations
Publisher

Abstract

The validity of the strong-coupling expansion of the two-dimensional Hubbard model is questioned. We present evidence of disagreement between the strong-coupling expansion and the exact solution of the Hubbard model on small lattices.
DOI
10.1103/physrevb.40.4431

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The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems and serves as the paradigmatic model of the field. Despite its simplicity, it exhibits a strikingly rich phenomenology reminiscent of that observed in quantum materials. Nevertheless, much of its phase diagram remains controversial. Here, we review a subset of what is known about the Hubbard model based on exact results or controlled approximate solutions in various limits, for which there is a suitable small parameter. Our primary focus is on the ground state properties of the system on various lattices in two spatial dimensions, although both lower and higher dimensions are discussed as well. Finally, we highlight some of the important outstanding open questions.
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