 9295 Lieb E.H., Loss M.
 UNIFORM DENSITY THEOREM FOR THE HUBBARD MODEL
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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 FalicovKimball model. For the
halffilled band, the singleparticle 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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