Moiré fractional Chern insulators. II. First-principles calculations and continuum models of rhombohedral graphene superlattices

The observation of fractional Chern insulators in rhombohedral pentalayer graphene twisted on hexagonal boron nitride has initiated a flurry of theoretical work seeking its explanation. As a step towards understanding the origin of these phases, the authors undertake here a first-principles study of the large family of multilayer rhombohedral graphene/boron nitride superlattices, including structural relaxation. The moir\'e models they obtain faithfully capture the microscopic band structure and are the starting point for understanding the observed topological phases and predicting new ones.