Ferromagnetism in Hubbard Models

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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LaTeX, 8 pages with two epsf figures. A short note is added in August 1997

Scientific paper

10.1103/PhysRevLett.75.4678

We present the first rigorous examples of non-singular Hubbard models which exhibit ferromagnetism at zero temperature. The models are defined in arbitrary dimensions, and are characterized by finite-ranged hoppings, dispersive bands, and finite on-site Coulomb interaction U. The picture, which goes back to Heisenberg, that sufficiently large Coulomb interaction can revert Pauli paramagnetism into ferromagnetism has finally been confirmed in concrete examples.

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