A connected-vertex strong-coupling diagrammatic Monte Carlo treats local interactions exactly and matches NLCE results for the infinite-U Hubbard model up to hopping order nine.
Numerical Studies of the 2D Hubbard Model
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abstract
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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Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
A connected-vertex strong-coupling diagrammatic Monte Carlo treats local interactions exactly and matches NLCE results for the infinite-U Hubbard model up to hopping order nine.