Tunable electron wave filter and Goos–Hänchen shift in asymmetric graphene double magnetic barrier structures

Abstract

Electronic transmission and Goos–Hänchen shift for Dirac fermions in asymmetric graphene double magnetic barrier structure are investigated theoretically. Numerical results for rectangular barriers demonstrate that a transmission gap appears owing to the magnetic confinement and the width of gap is dependent on the incident angle and changed by the width of barrier and the distance between the double barriers. At the edge of the transmission gap, the Goos–Hänchen shifts of electrons have strong peaks and are tuned by the structure parameters. Furthermore, for the real magnetic structure induced by ferromagnetic strips, the transmission gap and GH shift remain. The tunable transmission gap indicates that the graphene magnetic structure can be use as electron wave filter and the tunable GH shift shows that the structure can be applied to laterally manipulate Dirac fermions in graphene.