title: Massless Dirac fermions in graphene under an external periodic magnetic field.
abstract: By solving the two-component spinor equation for massless Dirac fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum. At low energies, Dirac fermions are localized inside the magnetic region with discrete Landau energy levels, while at higher energies, Dirac fermions are mainly found in non-magnetic regions with continuous energy bands originating from wavefunctions analogous to particle-in-box states of electrons. These findings offer a new methodology for the control and tuning of massless Dirac fermions in graphene.
authors.affiliation: Department of Physics, National University of Singapore, 2 Science Drive 3, 117542, Singapore.
authors.forename: Shuanglong
authors.initials: S
authors.lastname: Liu
authors.forename: Argo
authors.initials: A
authors.lastname: Nurbawono
authors.forename: Na
authors.initials: N
authors.lastname: Guo
authors.forename: Chun
authors.initials: C
authors.lastname: Zhang