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Abstract
We use strong-coupling perturbation theory and the extrapolation of small-cluster exact-diagonalization calculations to describe the ground-state properties and possible intermediate-valence transitions of the spinless Falicov-Kimball model with a generalized type of hopping. It is shown that, even for relatively small values of the interaction strength, the Falicov-Kimball model undergoes only a few (discrete) intermediate-valence transitions, and this result is demonstrated to be independent of finite-size effects.
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