Floquet Majorana fermions in driven hexagonal lattice systems

We propose Floquet chiral topological superconducting systems hosting Floquet Majorana fermions, which consist of hexagonal lattices in proximity to superconductors with shining circularly polarized light. Specially for bilayer graphene system, we demonstrate that there exist three topological phases determined by the system parameters, namely, the amplitude and frequency of the induced light. The number of chiral Floquet Majorana edge states is confirmed by calculating the Chern number analytically and the energy spectrum in ribbon geometry. Moreover, this proposal is generalized to other hexagonal lattice systems, such as the monolayer graphene and silicene. Notably, the parameter range of induced light to achieve the chiral Floquet Majorana edge states is experimentally feasible, and the corresponding Floquet Majorana fermions can be probed utilizing the scanning tunneling spectroscopy.