Ferromagnetism in Hubbard Models

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.