Electronic Properties of Multilayer Graphene

Abstract. In this chapter, we study the electronic structure of arbitrarily stacked multilayer graphene in the absence or presence of magnetic field. The energy band structure and the Landau level spectrum are obtained using a π-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling terms. Using degenerate state perturbation theory, we analyze the low-energy effective theory and show that the low-energy electronic structure of arbitrarily stacked graphene multilayers consists of chiral pseudospin doublets with a conserved chirality sum. We discuss the implications of this for the quantum Hall effect, optical conductivity and electrical conductivity.