92-95 Lieb E.H., Loss M.

UNIFORM DENSITY THEOREM FOR THE HUBBARD MODEL (19K, Plain TeX) Jul 25, 92

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Abstract. A general class of hopping models on a bipartite lattice is considered, including the Hubbard model and the Falicov-Kimball model. For the half-filled band, the single-particle density matrix $\uprho (x,y)$ in the ground state and in the canonical and grand canonical ensembles is shown to be constant on the diagonal $x=y$, and to vanish if $x \not= y$ and if $x$ and $y$ are on the same sublattice. Physical implications of this result are discussed.

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