Ferromagnetism in the large-U Hubbard model

Details Ferromagnetism in the large-U Hubbard model Ferromagnetism in the large-U Hubbard model

1997-08-20

arxiv.org/abs/cond-mat/9708156v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures, accepted for publication in Physical Review B, Rapid Communications

Scientific paper

10.1103/PhysRevB.56.R8479

We study the Hubbard model on a hypercubic lattice with regard to the possibility of itinerant ferromagnetism. The Dynamical Mean Field theory is used to map the lattice model on an effective local problem, which is treated with help of the Non Crossing Approximation. By investigating spin dependent one-particle Green's functions and the magnetic susceptibility, a region with nonvanishing ferromagnetic polarization is found in the limit $U\to\infty$. The $\delta$-T-phase diagram as well as thermodynamic quantities are discussed. The dependence of the Curie temperature on the Coulomb interaction and the competition between ferromagnetism and antiferromagnetism are studied in the large $U$ limit of the Hubbard model.

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