Theory of electronic states and transport in graphene

Abstract

Graphene is a monolayer graphite sheet recently fabricated [1-3] and has been attracting attention theoretically and experimentally since the observation of the integer quantum Hall e?ect [4, 5]. Several reviews have already been published [6-9]. Actually, graphene has been a subject of study prior to the experimental realization because of the peculiar electronic structure responsible for intriguing properties of carbon nanotubes [10] and because of theoretical interest in special properties of systems in relativistic limit. The purpose of this chapter is to give a brief review on electronic properties of graphenes mainly from a theoretical point of view. The topics include e?ective-mass description of electronic states, transport and optical properties, and phonons and their interaction with electrons.