We study how the electron hopping reduces the Mott-Hubbard band gap in the limit of a large Coulomb interaction U and as a function of the orbital degeneracy N. The results support the conclusion that the hopping contribution grows as roughly √NW, where W is the one-particle bandwidth, but in certain models a crossover to an ~NW behavior is found for sufficiently large N.
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Gunnarsson et al. (1997) studied this question.
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