Elastic scattering theory and transport in graphene

Understand

Electron properties of graphene are described in terms of Dirac fermions.

• Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential.
• While the massless limit is relevant for pristine graphene, keeping finite mass allows for generalizations onto situations with broken symmetry between the two sublattices, and provides a link to the scattering theory of electrons in a parabolic band.
• We demonstrate that the Dirac theory requires short-distance regularization for potentials which are more singular than 1/r.