Point defects

Abstract

We discuss scattering theory for massless Dirac fermions and for a new type of wave equation describing low-energy electrons in bilayer graphene. After that, we present a general theory of defects in solids via Green's function formalism. We apply it to consider mid-gap states due to vacancies or adatoms in graphene and calculate interaction energy between these adatoms. The basic physics of scanning tunneling spectroscopy as an experimental tool to study defect states in solids is presented.