Tuning quantum reflection in graphene with an external magnetic field

Abstract

We theoretically demonstrate that an external magnetic field can be used to control quantum reflection of matter waves in graphene due to its extraordinary magneto-optical properties. We calculate the quantum reflection probabilities in graphene for three experimentally relevant atomic species (He, Na, and Rb) using the full Casimir-Polder potential computed by Lifshitz formula valid at all distance regimes, going beyond the traditional approach to quantum reflection, based on power law potentials, which are known to be valid only in the short distance (non-retarded van der Waals) or in the large distance (retarded) regimes. We predict the energy range for which quantum reflection is more likely to occur as a function of the magnetic field, and show that the quantum reflection probabilities exhibit discontinuities that reflect the structure of Landau levels in graphene. Altogether our findings suggest an alternative way to control quantum reflection at the nanoscale, and pave the way for the design of alternative, magnetically tuned reflective diffraction elements for matter waves.