Wake effect in graphene due to moving charged particles

We study the wake effect in a supported graphene layer induced by external charged particles moving parallel to it by using the dynamic polarization function of graphene within the random phase approximation for its pi electrons described as Diracs fermions. We explore the effects of a substrate assuming that graphene is supported by an insulating substrate, such as SiO2, and a strongly polar substrate, such as SiC, under the gating conditions. Strong effects are observed in the wake pattern in the induced density of charge carriers in supported graphene due to finite size of the graphene-substrate gap, as well as due to strong coupling effects, and plasmon damping of graphenes pi electrons. We find that the excitation of surface phonons in the substrate may exert quite strong influences on the wake effect in the total electrostatic potential in the graphene plane at low particle speeds.27th Summer School and International Symposium on the Physics of Ionized Gases (SPIG), Aug 26-29, 2014, Serbian Acad Sci and Arts, Belgrade, Serbi