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We provide a critical discussion concerning the claim of topological valleycurrents, driven by a global Berry curvature and valley Hall effect proposed inrecent literature. After pointing out a major inconsistency of the theoreticalscenario proposed to interpret giant nonlocal resistance, we discuss variouspossible alternative explanations and open directions of research to solve themystery of nonlocal transport in graphene superlattices.

Have Mysterious Topological Valley Currents Been Observed in Graphene Superlattices?