We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multilayers with different stacking orders. We find, among other results, that electrostatic effects can induce a strongly divergent density of states in bilayers and trilayers, reminiscent of one-dimensional systems. The density of states at the surface of semi-infinite stacks, on the other hand, may vanish at low energies, or show a band of surface states, depending on the stacking order.

• Received 17 April 2006

DOI:https://doi.org/10.1103/PhysRevB.73.245426