Visualizing flat-band spatial renormalization in rhombohedral graphene superlattices
Rhombohedral graphene/hBN moir\'e superlattices exhibit flat-band-driven emergent phases, including superconductivity and the fractional quantum anomalous Hall effect (FQAHE), yet the microscopic role of the moir\'e potential remains unclear. Here, using scanning tunneling microscopy, we visualize moir\'e-modulated spatial renormalization of flat bands in rhombohedral pentalayer and tetralayer graphene/hBN superlattices. We observe spatially hierarchical filling, manifested as periodic energy shifts of the flat bands at the moir\'e scale, leading to spatial reshaping of correlated states in the interacting regime. Remarkably, this modulation vanishes below a ~10 nm moir\'e period--the same threshold below which the FQAHE is absent. Theoretical modeling attributes this mechanism to atomic-corrugation-induced charge redistribution. Our work provides real-space visualization of moir\'e-engineered flat-band reconstruction, resolving a key link between moir\'e periodic potential and emergent topological order.