Effect of band structure on ferromagnetism

Abstract
We extend Nagaoka's study of the ferromagnetism of nearly half-filled bands in the infinite-repulsion limit of the Hubbard model by including next-nearest-neighbor tight-binding overlap matrix elements K2. Particles can now get past one another, even in one dimension. We find corroboration of nagaoka;s results, viz., either possibility or impossibility of ferromagnetism depending on the relative sign and magnitude of K2.

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