Metallic ferromagnetism in the Hubbard model: A rigorous example

Details Metallic ferromagnetism in the Hubbard model: A rigorous example Metallic ferromagnetism in the Hubbard model: A rigorous example

2006-11-13

arxiv.org/abs/cond-mat/0611318v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figues. Minor improvements have been made. This version will appear in Phys. Rev. Lett

Scientific paper

We present the first rigorous example of the Hubbard model in any dimensions which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping and on-site Coulomb repulsion, and has multi single-electron bands. In the limit where the band gap and the Coulomb repulsion become infinite, we prove that the ground states are completely ferromagnetic and at the same time conducting.

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