Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model

Details Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model

1999-11-23

arxiv.org/abs/cond-mat/9911367v1

PRB 56, 3159 (1997)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 7 figures

Scientific paper

10.1103/PhysRevB.56.3159

We investigate the magnetic instabilities of the nondegenerate (s-band) and a degenerate (d-band) Hubbard model in two dimensions using many-body effects due to the particle-particle diagrams and Hund's rule local correlations. The density of states and the position of Van Hove singularity change depending on the value of next-nearest neighbor hopping t'. The Stoner parameter is strongly reduced in the s-band case, and ferromagnetism survives only if electron density is small, and the band is almost flat at small momenta due to next-nearest neighbor hopping. In contrast, for the d-band case the reduction of the Stoner parameter which follows from particle-particle correlations is much smaller and ferromagnetism survives to a large extent. Inclusion of local spin-spin correlations has a limited destabilizing effect on the magnetic states.

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