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Two-dimensional (2D) magnetic materials with nontrivial topological stateshave drawn considerable attention recently. Among them, 2D metal-organicframeworks (MOFs) are standing out due to their advantages, such as the easysynthesis in practice and less sensitivity to oxidation that are distinctlydifferent from inorganic materials. By means of density-functional theorycalculations, we systematically investigate the electronic and topologicalproperties of a class of 2D MOFs X(C21H15N3) (X = transition metal element from3d to 5d). Excitingly, we find that X(C21H15N3) (X = Ti, Zr, Ag, Au) are Cherninsulators with sizable band gaps (~7.1 meV). By studying a four-band effectivemodel, it is revealed that the Chern insulator phase in X(C21H15N3) (X = Ti,Zr, Ag, Au) is caused cooperatively by the band inversion of the p orbitals ofthe C21H15N3 molecule and the intrinsic ferromagnetism of X(C21H15N3).Additionally, Mn(C21H15N3) is a Dirac half-metal ferromagnet with a high Curietemperature up to 156 K. Our work demonstrates that 2D MOFs X(C21H15N3) aregood platforms for realizing Quantum anomalous Hall effect and designing novelspintronic devices based on half-metals with high-speed and long-distance spintransport.

Chern insulators and high Curie temperature Dirac half-metal in two-dimensional metal-organic frameworks