Demonstration of magnetic confinement in graphene with Fano-type resonances

We demonstrate the magnetic confinement in graphene by investigating the Fano-type resonant features in the transmission spectra. The Fano-type resonance occurs due to the interference between extended states and magnetically-bound states as a result of the interaction of Dirac fermions with the oscillating field. We also find another type of resonance that results from the quasi-bound states induced by the oscillating field. In contrast to the magnetically-bound states, the quasibound states generally have complex eigenenergies whose imaginary parts are associated with finite lifetimes. The results may inspire experimental research on magnetic confinement in graphene.