Magnetic field and Fermi energy modulated quantized Imbert–Fedorov shifts in graphene

We theoretically investigate the spatial Imbert–Fedorov (SIF) shifts of a light beam reflected from a graphene–substrate system in the presence of an externally applied magnetic field. We impinge a monochromatic light beam of finite width on the surface of a graphene–substrate system and investigate the reflection and transmission coefficients of the beam. We find that the Fermi energy modulated quantized transverse shifts can be achieved in the graphene–substrate system for incident angles in the vicinity of the Brewster angle and frequencies in the terahertz regime. In the case of partial reflection of the light beam, IF shifts acquire moderate magnitudes, while for the case of total internal reflection in the quantum Hall regime, our results show giant negative and positive SIF shifts. Furthermore, we demonstrate that the Brewster angle changes with changing magnetic field and Fermi energy. Our findings are important from the point of view of tuning the IF shifts with magnetic field and Fermi energy conveniently and effectively, which is required to develop new tunable photonic devices in the terahertz regime.