Graphene, a Material with Exceptional Electronic Properties

In this document we explore graphene, a two-dimensional material with remarkable properties. We center our discussion around its electronic characteristics and their applications. We begin by giving a simple electronic model which will then allow us to discuss its conductivity, electronic mobility and the peculiar situation we find at the Fermi level. We then move to the limitations imposed by the electronic structure, notably, the absence of a gap in the band. Finally, we take a look at a very active research area: medications of the band structure of graphene and its potential applications.