Electronic structure of magic-angle graphene superlattices

Twisted bilayer graphene has attracted much attention lately because interesting physics, such as superconductivity and strongly correlated states, have been observed in the Moiré superlattices that occur at small twist angles. These effects are attributed to the formation of flat electronic mini-bands at a discrete set of magic angles.

In this project we will study the electronic structure of bilayer graphene and related structures at different twist angles. We will a develop computational framework based on tight-binding modeling and learn how to compute the electronic bands and density of states. Our aim is to identify the (nearly) flat bands in these materials.

The candidate should ideally have a good knowledge of solid state physics and some experience with Python programming.