Exact results for theU=∞ Hubbard model

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Abstract
Several rigorous results are obtained for the U=∞ Hubbard model, including a lower bound on the energy for any finite number of holes relative to half filling. The bound implies that the ferromagnetic state becomes asymptotically degenerate with the exact ground state in the thermodynamic limit, and that added holes do not form bound states. An alternate derivation of Nagaoka’s theorem is obtained.