Landau levels in graphene

The magnetoelectronic structure of graphene is studied through employing the Peierls tight-binding model. Most subbands are flat Landau levels except for some oscillatory Landau levels at moderate energies. The level spacing declines quickly and then grows gradually in the increase of state energy. The level energies can be characterized by a simple relation in terms of the level index and the magnetic field only for low Landau levels View the MathML source. Level degeneracy associated with the sub-lattice degrees of freedom for the low Landau levels is lifted at high energy. The predicted results could be verified by the optical spectroscopy.