The phase diagram as a function of the total electron filling N and the crystal field splitting Δ for the three-band Hubbard model with Ising-type Hund’s rule coupling at U/t = 2.80, J_z = 0.25U. The orange area denotes the orbital-selective Mott phase where the lower two orbitals are in a Mott phase while the upper orbital is metallic. The pink area denotes that all orbitals are metallic. The black dashed line indicates that the lower two orbitals are half-filled but still metallic. The black bar at N = 3 indicates that all the three orbitals are half-filled and in a Mott phase.