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We evaluate the electronic transmission and conductance in bilayer graphenethrough a finite number of potential barriers. Further, we evaluate thedispersion relation in a bilayer graphene superlattice with a periodicpotential applied to both layers. As a model we use the tight-bindingHamiltonian in the continuum approxi- mation. For zero bias the dispersionrelation shows a finite gap for carriers with zero momentum in the directionparallel to the barriers. This is in contrast to single-layer graphene where nosuch gap was found. A gap also appears for a finite bias. Numerical results forthe energy spectrum, conductance, and the density of states are presented andcontrasted with those pertaining to single-layer graphene.

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