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Nontrivial band topology combined with magnetic ordering can produce quantumanomalous Hall insulator (QAHI), which may lead to advances in device concepts.Here, through first-principles calculations, stable monolayer$\mathrm{Fe_2Br_2}$ is predicted as a room-temperature large-gaphigh-Chern-number QAHI by using generalized gradient approximation plus $U$(GGA+$U$) approach. The large gap is due to correlation-enhanced spin-orbitcoupling (SOC) effect of Fe atoms, which equates with artificially increasingthe strength of SOC without electronic correlation. Out-of-plane magneticanisotropy is very key to produce quantum anomalous Hall (QAH) state becausein-plane magneitization will destroy nontrivial band topology. In the absenceof SOC, $\mathrm{Fe_2Br_2}$ is a half Dirac semimetal state protected by mirrorsymmetry, and the electronic correlation along with SOC effect creates QAHstate with a sizable gap and two chiral edge modes. It is found that the QAHstate is robust against biaxial strain ($a/a_0$: 0.96 to 1.04) in monolayer$\mathrm{Fe_2Br_2}$ with stable ferromagnetic (FM) ordering and out-of-planemagnetic anisotropy. Calculated results show that Curie temperature issensitive to correlation strength and strain. The reduced correlation andcompressive strain are in favour of high Curie temperature. These analysis andresults can be readily extended to other monolayer $\mathrm{Fe_2XY}$ (X/Y=Cl,Br and I), which possesses the same Fe-dominated low-energy states with a$\mathrm{Fe_2Br_2}$ monolayer. These findings open new opportunities to designnew high-temperature topological quantum devices.

Correlation-enhanced spin-orbit coupling and quantum anomalous Hall  insulator with large band gap and stable ferromagnetism in monolayer  $\mathrm{Fe_2Br_2}$