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Two-dimensional (2D) magnetic materials empowered with nontrivial bandtopology may lead to the emergence of exotic quantum states with significantapplication potentials. Here we predict a family tree of 2D magnetic materialswith tunable topological properties, starting from the parental materials ofCrI3 and CrBr3. The underlying design principle is that, by substituting thealternating sites of the Cr honeycomb lattice sandwiched between the halogenlayers with V or Mn, the parental materials of trivial ferromagnetic insulatorsare ripe to be converted into topological systems. Specifically, ourfirst-principles calculations show that, due to the elegant interplay betweenbandgap narrowing and spin-orbital coupling, CrI3 branches intohigh-temperature quantum anomalous Hall insulators of CrVI6 and CrMnI6 withdifferent topological invariants, while CrBr3 branches into topologicalhalf-metals of CrVBr6 and CrMnBr6. Those novel 2D magnets are also shown to beeasily exfoliated from their bulk counterparts. The present study is thusgeared to advance the field of 2D magnetic materials into the topologicallynontrivial realm.

A family tree of two-dimensional magnetic materials with tunable topological properties