Ferromagnetism in a Narrow, Almost Half-Filled s Band

Yosuke Nagaoka
Phys. Rev. 147, 392 – Published 8 July 1966
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Abstract

We consider conduction electrons in a narrow s band with a strong repulsive potential which acts when two electrons are at the same atomic site. It is assumed that the electron-transfer matrix elements are nonvanishing only between nearest-neighbor sites, and that the band is almost half-filled, or |NNe|N, N and Ne being, respectively, the number of atoms and electrons in the crystal. Then it is proved quite rigorously that, if the repulsive potential is sufficiently strong, the ferromagnetic state with the maximum total spin is the ground state for simple cubic and body centered cubic structures as well as for face centered cubic and hexagonal closed packed structures with Ne>N, and is not the ground state for face centered cubic and hexagonal closed packed structures with Nc<N. For the former case, it is also shown that it is not the ground state if the repulsive potential is weaker than some critical value which is of the order (bandwidth)×N|NNe|.

  • Received 17 January 1966

DOI:https://doi.org/10.1103/PhysRev.147.392

©1966 American Physical Society

Authors & Affiliations

Yosuke Nagaoka*

  • Department of Physics, University of California, San Diego, La Jolla, California

  • *On leave of absence from Research Institute for Fundamental Physics, Kyoto University, Kyoto, Japan. Present address: Department of Physics, Nagoya University, Nagoya, Japan.

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Issue

Vol. 147, Iss. 1 — July 1966

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