Boundary problems for Dirac electrons and edge-assisted Raman scattering in graphene

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, we discuss effective models for translationally invariant and rough edges. Second, we employ these models in the calculation of the edge-activated Raman D peak intensity and its dependence on the polarization of the incident/scattered light, as well as on the position of the excitation spot. Manifestations of the quasiclassical character of electron motion in Raman scattering are discussed.