Band topology and electron correlation are two central themes of quantum condensed matter physics. Band topology arises from the wave nature of electron, as manifested in Chern insulators by the presence of extended chiral states at the edge. On the other hand, correlation effects are associated with the particle nature of electron, which enable Mott insulators at half band filling. Motivated by recent experiments on semiconductor moire heterostructures, I will describe a theory of interaction-induced topological Chern insulator that emerges from an antiferromagnetic Mott insulator. By tuning the electric field to invert the charge transfer gap, a continuous Mott to Chern insulator transition is achieved, leading to the appearance of a chiral spin structure and the quantum anomalous Hall effect.