Coulomb drag by motion of a monolayer polar crystal through graphene nano-constriction

We show that motion of a polar crystalline layer between two graphene planes exerts Coulomb drag on electrons in graphene, inducing DC-drag current. The physical mechanism of the drag relies on the intervalley scattering of charge carriers in graphene by the time-dependent potential of the moving crystalline layer. In turn, the drag of electrons in graphene exercises the back-action on the crystalline layer, which can be expressed in terms of increased dynamic viscosity. The drag effect requires a finite threshold doping of graphene. Estimations of the drag effect for the layer of square ice shows that the doping level needed to observe the drag effect is within the reach of modern experiments.