Magnetic properties of the three-dimensional Hubbard model at half filling

Details Magnetic properties of the three-dimensional Hubbard model at half filling Magnetic properties of the three-dimensional Hubbard model at half filling

1999-09-16

arxiv.org/abs/cond-mat/9909243v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex, 9 pages +10 figures

Scientific paper

10.1103/PhysRevB.61.4567

We study the magnetic properties of the 3d Hubbard model at half-filling in the TPSC formalism, previously developed for the 2d model. We focus on the N\'eel transition approached from the disordered side and on the paramagnetic phase. We find a very good quantitative agreement with Dynamical Mean-Field results for the isotropic 3d model. Calculations on finite size lattices also provide satisfactory comparisons with Monte Carlo results up to the intermediate coupling regime. We point out a qualitative difference between the isotropic 3d case, and the 2d or anisotropic 3d cases for the double occupation factor. Even for this local correlation function, 2d or anisotropic 3d cases are out of reach of DMF: this comes from the inability of DMF to account for antiferromagnetic fluctuations, which are crucial.

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