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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 are observed. The predicted magnetoelectronic properties could be examined by the experimental measurements on transport conductance and absorption spectra. [Copyright &y& Elsevier]

Abstract: The magnetoelectronic properties of one-dimensional AB-stacked bilayer zigzag graphene nanoribbons are investigated by the Peierls tight-binding model. The competition between magnetic and quantum confinement effects induces quasi-Landau levels (QLLs). The interlayer interactions lead to two groups of QLLs, asymmetry of conduction and valence QLLs about the Fermi level, and splitting of the degenerate partial flat bands. The density of states exhibiting many prominent peaks, corresponding to QLLs, could be verified by experiments. [Copyright &y& Elsevier]

Abstract: Magnetic bands of the hydrogen-terminated monolayer zigzag graphene ribbon subject to the spatially inhomogeneous magnetic field () are investigated through the Peierls-coupling tight-binding model. is a constant magnetic field defined on a strip of finite width that is smaller than the ribbon width. , step-function-like magnetic field, can change band shapes, alter band curvature, shift band edge states, and hybridize parabolic bands, sublinear bands, partial Landau levels, and Hall edge states. Such a not only induces Landau levels in the magnetic field but also modifies the parabolic bands along the boundary between the magnetic and nonmagnetic areas. The magnetic bands are strongly dependent on the configuration of the spatially inhomogeneous magnetic field. Density of states, e.g., the position, height and number of dominant strong peaks, feature such interesting characteristics. [Copyright &y& Elsevier]