The Hubbard Model: Some Rigorous Results and Open Problems
Condensed Matter
2008-02-03 v2
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.
Cite
@article{arxiv.cond-mat/9311033,
title = {The Hubbard Model: Some Rigorous Results and Open Problems},
author = {Elliott Lieb},
journal= {arXiv preprint arXiv:cond-mat/9311033},
year = {2008}
}
Comments
13/Nov/1993 This text is the same as in the earlier version, but it has simpler font requirements. Some printers did not have all the fonts specified earlier. Plaintex, 20 pages