Eur. Phys. J. B 64, 365-372 (2008)
https://doi.org/10.1140/epjb/e2008-00113-2

Hubbard model and the origin of ferromagnetism

Department of Physics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan

Corresponding author: ^a hal.tasaki@gakushuin.ac.jp

Received: 13 September 2007
Revised: 12 February 2008
Published online: 19 March 2008

Abstract

It is believed that strong ferromagnetic orders in some solids are generated by subtle interplay between quantum many-body effects and spin-independent Coulomb interactions between electrons. Here we describe our rigorous and constructive approach to ferromagnetism in the Hubbard model, which is a standard idealized model for strongly interacting electrons in a solid.