Ferromagnetism in the Nearly-Half-Filled-Band Hubbard Model at Nonzero Temperatures
- 1 July 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 4 (1) , 232-235
- https://doi.org/10.1103/physrevb.4.232
Abstract
Nagoaka's result that the ground state of the near-neighbor-hopping Hubbard model, for a nearly half-filled band and for interaction strength much greater than hopping energy, is ferromagnetic, is shown to be valid for bosons with spin, as well as fermions, in a finite system. In the thermodynamic limit, the boson system is shown to be nonmagnetic. Ferromagnetism is argued to exist at nonzero temperatures for fermions in an infinite system, and upper and approximate lower bounds are obtained for the Curie temperature.Keywords
This publication has 7 references indexed in Scilit:
- Theory of Magnetic Properties of Narrow-Band SolidsPhysical Review B, 1970
- Single-Particle Excitations in Magnetic InsulatorsPhysical Review B, 1970
- Antiferromagnetism in Narrow-Band SolidsPhysical Review B, 1970
- Single-Particle Excitations in Narrow Energy BandsPhysical Review B, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- Ferromagnetism in a Narrow, Almost Half-FilledBandPhysical Review B, 1966
- Electron correlations in narrow energy bandsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963