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The Hubbard Model: Some Rigorous Results and Open Problems

Elliott Lieb
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Abstract

Paper: cond-mat/9311033 The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many ``real world'' features, but it is much more difficult to analyze qualitatively than the Ising model. After a third of a century of research, we are still not sure about many of its basic properties. This mini-review will explore what is known rigorously about the model and it will attempt to describe some open problems that are possibly within the range of rigorous mathematical analysis.

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Elliott Lieb. 1993-11-15. The Hubbard Model: Some Rigorous Results and Open Problems. https://arxiv.org/abs/cond-mat/9311033

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