Two-dimensional hexagonal FeX$_2$ (X=Cl, Br, I) monolayers: stability, magnetism, electronic structures and light-induced chiral edge states

Topological materials are fertile ground for investigating topological phases of matter and topological phase transitions. In particular, the quest for novel topological phases in 2D materials is attracting fast growing attention. Here, using Floquet-Bloch theory, we propose to realize chiral topological phases in 2D hexagonal FeX2 (X=Cl, Br, I) monolayers under irradiation of circularly polarized light. Such 2D FeX2 monolayers are predicted to be dynamical stable, and exhibit both ferromagnetic and semiconducting properties. To capture the full topological physics of the magnetic semiconductor under periodic driving, we adopt ab initio Wannier-based tight-binding methods for the Floquet-Bloch bands, with the light-induced band gap closings and openings being obtained as the light field strength increases. The calculations of slab with open boundaries show the existence of chiral edge states which are robust to disorders. Interestingly, the topological transitions with branches of chiral edge states changing from zero to one and from one to two by tuning the light amplitude are obtained, showing that the topological floquet phase of high Chern number can be induced in the present Floquet-Bloch systems.