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The quantum anomalous Hall effect(QAHE),originates form a combination of the spin-orbital coupling and the breaking of time-reversal symmetry due to intrinsic ferromagnetic ordering,was recently observed in Cr-and V-doped magnetic topological insulators(TI).However,it was only observed at extremely low temperatures due to the low ferromagnetic Curie temperature and tiny magnetically-induced gap.To fully understand the mechanism of the ferromagnetic ordering whereby improving the ferromagnetism,we investigated 4f transition-metal-doped Bi2Se3,using density-functional-theory approaches.