Landau levels of multilayer graphene ribbons

Abstract

The low-energy Landau levels of multilayer graphene ribbons with AB-stacking in the presence of a uniform perpendicular magnetic field ( B) are investigated by the Peierls coupling tight-binding model. They are dominated by the B-field strength, the interlayer interactions, and the ribbon width. Many dispersionless Landau levels and parabolic energy bands exist along k x and k z directions respectively. The former are doubly degenerate, while state degeneracy is absent for the latter. The occupied valence bands are asymmetric to the unoccupied conduction bands about the Fermi level ( E F). Such features are directly reflected in density of states (DOS). DOS exhibits a lot of asymmetric prominent peaks because of 1D curving bands. Meanwhile, the Landau-level energies following the simple relation E c , v ∝ B are observed. The predicted magnetoelectronic properties could be examined by the experimental measurements on transport conductance and absorption spectra.