Energy-driven drag at charge neutrality in graphene.

Coulomb coupling in graphene heterostructures results in vertical energy transfer between electrons in proximal layers. We show that, in the presence of correlated density inhomogeneity in the layers, vertical energy transfer has a strong impact on lateral charge transport. In particular, for Coulomb drag, its contribution dominates over conventional momentum drag near zero doping. The dependence on doping and temperature, which is different for the two drag mechanisms, can be used to separate these mechanisms in experiments. We predict distinct features such as a peak at zero doping and a multiple sign reversal, which provide diagnostics for this new drag mechanism.