Metallic Ferromagnetism in the Hubbard Model: A Rigorous Example
Akinori Tanaka, Hal Tasaki
We present the first rigorous example of the Hubbard model in any dimension which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping and on-site Coulomb repulsion, and has many 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.
arXiv:cond-mat/0611318•Physical Review Letters•Mar 16, 2007•36 citations