Correlation-induced valley topology in buckled graphene superlattices

Flat bands emerging in buckled monolayer graphene superlattices have been recently shown to realize correlated states analogous those observed twisted multilayers. Here, we demonstrate the emergence of valley topology driven by competing electronic correlations superlattices. We show, both means atomistic models and a low-energy description, that existence long-range leads competition between antiferromagnetic charge density wave instabilities, can be controlled screening engineering. Interestingly, find emergent has topologically non-trivial structure, leading coexistent quantum Hall insulating state. In similar fashion, phase realizes spin-polarized valley-Hall Our results put forward as new platform interaction-induced topological matter.