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Massless Dirac fermions in graphene under an external periodic magnetic field
Shuanglong Liu1, Argo Nurbawono, Na Guo
1Department of Physics, National University of Singapore, 2 Science Drive 3, 117542, Singapore.
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.
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