Abstract
We derive the first detailed, rigorous criteria for the stability of saturated ferromagnetism in the most general single-band model of itinerant electrons, valid for arbitrary translationally invariant lattices, at half filling. These conditions are given by inequalities for the model parameters. Of all interactions only the on-site and the exchange interactions are found to be essential. By the same approach we also derive rigorous criteria for the stability of saturated ferromagnetism in the Hubbard model with a magnetic field.
- Received 11 January 1994
DOI:https://doi.org/10.1103/PhysRevLett.72.3425
©1994 American Physical Society
