Chiral Superconductivity and Fractional Quantum Anomalous Hall Effect in Graphene

Fractional quantum Hall effect and superconductivity are two famous examples of emergent quantum phenomena driven by electron topology and correlations. They usually happen in very different materials and experimental settings. In this talk, I will discuss how they can be unified in one crystalline material, known as rhombohedral graphene. More than being hosted by the same materials, the settings challenge the conventional understandings of these phenomena: the fractional quantum Hall effect happens at zero magnetic field, while the superconductor behaves as a spin and orbital magnet. I will also discuss the implications of these phenomena in the context of non-Abelian quasiparticles and topological quantum computation.