Tunable topological correlated physics in rhombohedral graphene and beyond

In crystalline solids, the interplay between topology and interactions can lead to various exotic topological correlated states, i.e., the recently discovered fractional Chern insulators (FCIs). Graphene based topological flat-bands provide a clean and highly tunable platform to investigate these states. In this talk, I will introduce our recent experiments on the observation of FCIs and other emergent correlated phenomena in rhombohedral hexalayer graphene (RHG)/hBN moiré superlattices. Such FCIs exhibit unconventional orbital magnetism and are extremely sensitive to in-plane magnetic field, indicating a non-neglectable spin-orbit coupling. Moreover, I will demonstrate how moiré effects and quantum fluctuations shape the RHG/hBN phase diagram.