The phase diagram as a function of the total electron filling N and the crystal field splitting Δ for the two-band Hubbard model with Ising-type Hund’s coupling, U/t = 4.90, (a) J_z = 0.25U and (b) J_z = 0.20U. The orange area denotes the orbital-selective Mott phase, where the lower orbital is in a Mott phase while the upper orbital is metallic. The pink area denotes that both orbitals are metallic. The black dashed line denotes that the lower orbital is half-filled but still metallic. The black bar at N = 2 indicates that both orbitals are half-filled and in a Mott phase.