The Hubbard Model: Some Rigorous Results and Open Problems

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.

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