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A two-dimensional (2D) material with piezoelectricity, topological andferromagnetic (FM) orders, namely 2D piezoelectric quantum anomalous hallinsulator (PQAHI), may open new opportunities to realize novel physics andapplications. Here, by first-principles calculations, a family of 2D Janusmonolayer $\mathrm{Fe_2IX}$ (X=Cl and Br) with dynamic, mechanical and thermalstabilities is predict to be room-temperature PQAHI. At the absence ofspin-orbit coupling (SOC), monolayer $\mathrm{Fe_2IX}$ (X=Cl and Br) is a halfDirac semimetal state. When the SOC is included, these monolayers becomequantum anomalous hall (QAH) states with sizable gaps (more than two hundredmeV) and two chiral edge modes (Chern number C=2). It is also found thatmonolayer $\mathrm{Fe_2IX}$ (X=Cl and Br) possesses robust QAH states againstbiaxial strain. By symmetry analysis, it is found that only out-of-planepiezoelectric response can be induced by a uniaxial strain in the basal plane.The calculated out-of-plane $d_{31}$ of $\mathrm{Fe_2ICl}$ ($\mathrm{Fe_2IBr}$)is 0.467 pm/V (0.384 pm/V), which is higher than or comparable with ones ofother 2D known materials. Meanwhile, using Monte Carlo (MC) simulations, theCurie temperature $T_C$ is estimated to be 429/403 K for monolayer$\mathrm{Fe_2ICl}$/$\mathrm{Fe_2IBr}$ at FM ground state, which is above roomtemperature. Finally, the interplay of electronic correlations with nontrivialband topology is studied to confirm the robustness of QAH state. Thecombination of piezoelectricity, topological and FM orders makes monolayer$\mathrm{Fe_2IX}$ (X=Cl and Br) become a potential platform formulti-functional spintronic applications with large gap and high $T_C$. Ourworks provide possibility to use the piezotronic effect to control QAH effects,and can stimulate further experimental works.

Intrinsic room-temperature piezoelectric quantum anomalous hall insulator in Janus monolayer $\mathrm{Fe_2IX}$ (X=Cl and Br)