Charge Entrainment by the Solitary Wave in the Graphene Superlattice: Free Carries and Impurity Ionization Cases

The entrainment of charge carriers by a soliton in the graphene-based superlattice is studied. The case of the free carriers entrainment is investigated in the analytical approach. It is shown that taking into account the week interaction between charge carriers leads to the increase of the drag current. Adding the condition of the presence of impurities in the graphene sheet changes the expression of the drag current by modification of the carrier's density. The problem of ionization is solved in the semiclassical approximation. The analysis reveals the dependence of the ionization probability on the electric field density of the soliton and depth of the impurity energy level.