Electronic Properties of Multilayer Graphene

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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.