Metallic Ferromagnetism in the Hubbard Model: A Rigorous Example

Akinori Tanaka and Hal Tasaki
Phys. Rev. Lett. 98, 116402 – Published 16 March 2007

Abstract

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.

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  • Received 14 November 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.116402

©2007 American Physical Society

Authors & Affiliations

Akinori Tanaka1,* and Hal Tasaki2,†

  • 1Department of General Education, Ariake National College of Technology, Omuta, Fukuoka 836-8585, Japan
  • 2Department of Physics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan

  • *Electronic address: akinori@ariake-nct.ac.jp
  • Electronic address: hal.tasaki@gakushuin.ac.jp

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Issue

Vol. 98, Iss. 11 — 16 March 2007

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