Detail:

Abstract:
　　During this talk, I will give an overview of a subset of transport phenomena typically encountered in graphene. I will introduce the concept of quantum interference and associated localization effects that can be engineered by covalently functionalizing the material through, for instance, hydrogenation or oxygenation. I will go back to some of the basics of the quantum Hall effect discovered in the eighties in conventional 2D electron gases, to further bridge the gap with recent experiment and simulation results suggesting some radically different behavior in graphene. The quantum Hall effect is often considered to be insensitive to disorder, which turns out to be only part of the picture. I will also show some recent results on the Hofstadter butterfly by depositing graphene on boron nitride, focusing mostly on a pedagogical introduction to this remarkable phenomenon. A small part of the talk will be devoted to the real space Kubo formalism that I've been using and developing throughout my research.