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

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

2011-01-20

arxiv.org/abs/1101.3930v1

Phys. Rev. B 79, 155402 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevB.79.155402

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.

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