Numerical Studies of the 2D Hubbard Model

Details Numerical Studies of the 2D Hubbard Model Numerical Studies of the 2D Hubbard Model

2006-10-25

arxiv.org/abs/cond-mat/0610710v1

Physics

Condensed Matter

Strongly Correlated Electrons

55 pages, 28 figures. To appear as Chapter 13 in the "Handbook of High Temperature Superconductivity", J. R. Schrieffer, edito

Scientific paper

Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard groundstate. When it is doped, a pseudogap appears and at low temperature d-wave pairing and striped states are seen. In addition, there is a delicate balance between these various phases. Here we review evidence for this and then discuss what numerical studies tell us about the structure of the interaction which is responsible for pairing in this model.

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