Abstract
The role of electronic correlations in the interplay of magnetism and superconductivity represents one of the major problems in the theory of high temperature superconductors. The two-dimensional single-band Hubbard model provides the simplest framework for discussing this fundamental question1. It has been argued that this model catches the essential physics of a CuO2 plane2, but there is presently no agreement on this point3. There is no doubt, however, that the model is well suited for displaying a rich variety of phenomena such as the metal-insulator transition, the competition between ferromagnetism and antiferromagnetism or superconductivity.
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