Bilayer graphene with single and multiple electrostatic barriers: band structure and transmission

Abstract

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to both layers. As a model we use the tight-binding Hamiltonian in the continuum approxi- mation. For zero bias the dispersion relation shows a finite gap for carriers with zero momentum in the direction parallel to the barriers. This is in contrast to single-layer graphene where no such gap was found. A gap also appears for a finite bias. Numerical results for the energy spectrum, conductance, and the density of states are presented and contrasted with those pertaining to single-layer graphene.

7 pages, 6 figures

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• Asymmetry gap in the electronic band structure of bilayer graphene
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Cited by in corpus (8)

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• A Phenomenological Model for the Quantum Capacitance of Monolayer and Bilayer Graphene Devices
• Tunnelling through finite graphene superlattices: resonance splitting effect
• Electronic Bloch oscillation in bilayer graphene gradient superlattices
• A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers
• Spin polarization and magnetoresistance through a ferromagnetic barrier in bilayer graphene