Magnetoelectronic properties of graphene dressed by a high-frequency field

Solving the Schrodinger problem for electrons in graphene subjected to both a stationary magnetic field and a strong high-frequency electromagnetic wave (dressing field), we found that the dressing field drastically changes the structure of Landau levels in graphene. As a consequence, the magnetoelectronic properties of graphene are very sensitive to the dressing field. Particularly, it is demonstrated theoretically that the dressing field strongly changes the optical spectra and the Shubnikov-de Haas oscillations. As a result, the developed theory opens a way for controlling magnetoelectronic properties of graphene with light.