Low-density ferromagnetism in the Hubbard model
- 1 October 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 54 (13) , 9250-9253
- https://doi.org/10.1103/physrevb.54.9250
Abstract
A single-band Hubbard model with nearest and next-nearest neighbor hopping is studied for d=1, 2, 3, using both analytical and numerical techniques. In one dimension, saturated ferromagnetism is found above a critical value of U for a band structure with two minima and for small and intermediate densities. This is an extension of a scenario recently proposed by Müller-Hartmann. For three dimensions and nonpathological band structures, it is proven that such a scenario does not work. © 1996 The American Physical Society.Keywords
All Related Versions
This publication has 13 references indexed in Scilit:
- Ferromagnetism in Hubbard ModelsPhysical Review Letters, 1995
- Ferromagnetism in Hubbard models: Low density routeJournal of Low Temperature Physics, 1995
- Ferromagnetism in the Hubbard modelCommunications in Mathematical Physics, 1993
- Ferromagnetism in the Hubbard model and Hund's rulePhysics Letters A, 1993
- Ferromagnetism in the Hubbard models with degenerate single-electron ground statesPhysical Review Letters, 1992
- Two theorems on the Hubbard modelPhysical Review Letters, 1989
- 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
- Electron Correlation and Ferromagnetism of Transition MetalsProgress of Theoretical Physics, 1963
- Theory of Ferromagnetism and the Ordering of Electronic Energy LevelsPhysical Review B, 1962