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.

arXiv commentSubmitted to APL

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Cited by in corpus (6)

• Tunnelling through finite graphene superlattices: resonance splitting effect
• Strain impacts on commensurate bilayer graphene superlattices: distorted trigonal warping, emergence of bandgap and direct-indirect bandgap transition
• Band Structures of Symmetrical Graphene Superlattice with Cells of three Regions
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• The transfer matrix approach to circular graphene quantum dots
• Protected Fermionic Zero Modes in Periodic Gauge Fields