We theoretically investigate the Imbert–Fedorov (IF) shifts of a reflected light beam from the dielectric interface containing a planar anisotropic monolayer graphene sheet that is subject to an external perpendicular magnetic field. We calculate and discuss the dependence of the IF shifts on the intensity of the magnetic field, the incidence angle of the beam, and the central frequency of the beam. It is shown that IF shifts can be controlled by modifying the intensity of the magnetic field and the incidence angle without changing the material and the structure of the dielectric interface. Moreover, there exists an optimum nonzero control magnetic field under which the IF shift can reach maximum value.
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