UC San Diego

Mono and bilayer graphene are novel carbon materials with many remarkable properties. Their electronic properties, including the basic band structure, can be tuned by electrostatic gating. Calculation of the effect of the gate requires solving self-consistent screening problem. An overview of the electronic properties of graphene system is given in Chapter 1. Chapter 2 illustrates the physics of Dirac fermion on the example of a graphene p-n junction. The results are shown to be essential for experimental verification of Klein tunneling in graphene. Chapter 3 discusses the effect of gating on bilayer graphene and how their signatures have been observed by the IR spectroscopy. Chapter 4 discusses the theory of semiclassical Landau quantization in bilayer subject to both electric and magnetic fields. This explains the role of the Berry phase, valley polarization