We study the ferromagnetism due to orbital degeneracy in the Hubbard model in infinite dimensions. The model contains the intraorbital repulsion U, the interorbital repulsion U^', the exchange J (Hund coupling) and the pair hopping J^', where all of them originate from the on-site Coulomb interaction. The ground state of the effective one-site problem was obtained by exact diagonalizations of finite clusters. At the 1/4 filling, we found two insulating phases; one is a ferromagnetic phase with alternating orbital order and the other is antiferromagnetic with uniform orbital order. If electrons are doped into the 1/4 filling, the ferromagnetic phase still survives and becomes metallic, while the antiferromagnetic phase disappears. This result indicates that a double-exchange mechanism is relevant to stabilize metallic ferromagnetism in infinite dimensions.
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Momoi et al. (1998) studied this question.
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