Goos-Hänchen like Shifts for Graphene Barrier in Constant Magnetic Field

Abstract: We consider a system of Dirac fermions in graphene submitted to a constant perpendicular magnetic field and scattered by a barrier potential. We show that our system can be used to establish a link with quantum optics through the Goos-H\"{a}nchen shifts. This can be done by evaluating the corresponding transmission probability and shift phase. We obtain Goos-H\"{a}nchen like shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. On the light of this relation, we discuss the obtained results and make comparison with literature.