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A three band model containing the essential physics of transition metaloxides with partially filled t_2g shells is solved in the single-site dynamicalmean field approximation, using the full rotationally invariant Slater-Kanamoriinteractions. We compute the metal-Mott insulator phase diagram in the space ofchemical potential and interaction strength, determine the response of thedifferent phases to perturbations which break the orbital symmetry, andestablish the regimes in which an orbital selective Mott phase occurs. Theresults are compared to data on titanates, ruthenates, vanadates and C_60.

Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling