Floquet topological spin filters

Floquet topological insulators (FTIs) are materials which undergo topological phase transitions under a time periodic perturbation causing time reversal symmetry breaking. In this Letter, we propose a spin filter model based on a FTI realized by irradiating a honeycomb lattice with circularly polarized light, in the presence of intrinsic spin-orbit coupling. The main ingredient of our proposed mechanism of Floquet topological spin filter (FTSF) implementation is the presence of an on-site staggered potential which controls independently the topological phases of the two existent spin states. After giving a numerical example of the occurrence of the FTSF phase, we argue that the origin of the FTSF phase resides in the spatial inversion symmetry breaking due to the presence of a staggered potential. The light helicity degree of freedom may be used to select the filtered spin state. Moreover, due to the topological properties of our model, the spin will be purely filtered in a Hall transport experiment. We discuss also the experimental feasibility.