  We study a model of electrons moving in a parent band of uniform Berry
curvature. At sufficiently high parent Berry curvature, we show that strong
repulsive interactions generically lead to the formation of an anomalous Hall
crystal: a topological state with spontaneously broken continuous translation
symmetry. Our results are established via a mapping to a problem of Wigner
crystallization in a regular 2D electron gas. Interestingly, we find that a
periodic electrostatic potential induces a competing state with opposite Chern
number. Our theory offers a unified perspective for understanding several
aspects of the recently observed integer and fractional quantum anomalous Hall
effects in rhombohedral multilayer graphene and provides a recipe for
engineering new topological states.
