Zero and Finite Energy Dirac Points in the Energy Band Structure of Magnetic Bilayer Graphene Superlattices

Abstract

Energy band structure of the bilayer graphene superlattices with $\delta$-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer matrix method. The periodic magnetic potential effects on the zero-energy Dirac point of pristine bilayer graphene are exactly analyzed. Magnetic potential is shown also to generate finite-energy Dirac points at the edges of Brillouin zone the positions of which and the related dispersions are determined in the case of symmetric potentials.

Submitted to APL

References in corpus (9)

• The electronic properties of bilayer graphene
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Cited by in corpus (3)

• Tunnelling through finite graphene superlattices: resonance splitting effect
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Protected Fermionic Zero Modes in Periodic Gauge Fields