Electronic properties of bilayer graphene ribbons with Bernal stacking in a strong magnetic field*

We employ the Peierl coupling tight-binding method to study magneto-electronic properties of bilayer graphene ribbons with Bernal stacking. Because of the interlayer interactions, the magnetic energy bands of a bilayer graphene ribbon are different from those of a monolayer ribbon in the Landau-level energies, the energy spacing, the state degeneracy, and the number of the Landau levels. The low-frequency magneto- absorption spectra reveal the characteristics of the electronic properties. The spectra exhibit denser Landau peaks than those of a monolayer ribbon do. Meanwhile, the transition channels of the Landau peaks are also identified. The selection rule is $\Delta {\tilde n}=\pm 1$.