Metal-insulator phase diagram and orbital selectivity in three-orbital models with rotationally invariant Hund coupling

A three-band model containing the essential physics of transition-metal oxides with partially filled t(2g) shells is solved in the single-site dynamical mean-field approximation, using the full rotationally invariant Slater-Kanamori interactions. We compute the metal-Mott insulator phase diagram in the space of chemical potential and interaction strength, determine the response of the different phases to perturbations which break the orbital symmetry, and establish the regimes in which an orbital selective Mott phase occurs. The results are compared to data on titanates, ruthenates, vanadates, and C-60.