Correlation effects in multilayer graphene

Two-dimensional systems of a few layers of graphene, twisted relative to each other or stacked in special ways, display a wide variety of fascinating physical phenomena, originating from the enhancement of electron-electron interactions. 

Topological phases of matter

Many seemingly distinct phenomena in condensed matter physics can be understood by a common framework of an underlying topological structure in the ground-state wavefunction. Examples include the quantum Hall effect, topological insulators and superconductors. In the last decades, and with greater intensity in the last few years, such exotic states have been discovered - or engineered - in the lab. The main challenges for theory are to design physical setups that can realize such topological states and to predict their properties.