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We study the ferromagnetism due to orbital degeneracy in the Hubbard model ininfinite dimensions. The model contains the intraorbital repulsion $U$, theinterorbital repulsion $U^\prime$, the exchange $J$ (Hund coupling) and thepair hopping $J^\prime$, where all of them originate from the on-site Coulombinteraction. The ground state of the effective one-site problem was obtained byexact diagonalizations. At the 1/4-filling, we found two insulating phases; oneis a ferromagnetic phase with alternating orbital order and the other isantiferromagnetic one with uniform orbital order. If electrons are doped intothe 1/4-filling, the ferromagnetic phase still survives and becomes metallic,while the antiferromagnetic phase disappears. This result indicates that thedouble-exchange mechanism is relevant to stabilize metallic ferromagnetism ininfinite dimensions.Comment: 4 pages, Revtex, 3 figures, corrected some typos and references, to  be published in Phys. Rev. B (Rapid Communication

Ferromagnetism in the Hubbard model with orbital degeneracy in infinite dimensions