Figure 2
From: Multimode Friedel oscillations in monolayer and bilayer graphene
Effective Coulomb potential and induced charge density in monolayer graphene: (a) Effective Coulomb potential \(V^{eff}(r)\) of monolayer graphene at \(E_{F}=0\) and \(E_{F}=0.4\) eV induced by a charged impurity at \(r=0\). The left inset exhibits scaled FOs by \(\pi /k_{F}\), while the right inset illustrates the asymptotic behavior of \(V^{eff}(r)\). (b) Intra-valley, (c) inter-valley (K-K\(^\prime \)), and intra-valley scatterings contributing to the induced charge density N(r), featuring an insert highlighting the oscillation period of \(\pi /k_{F}\) and a \(r^{-3}\) decay.
