Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-06-11
Phys. Rev. B 76, 245435 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
17 pages, 4 figures. Published version
Scientific paper
10.1103/PhysRevB.76.245435
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. The formalism is then applied to scattering off a smooth short-ranged potential. Next we consider the Coulomb potential scattering, where the Dirac theory is consistent for a point scatterer only for the effective impurity strength below 1/2. From the scattering phase shifts we obtain the exact Coulomb transport cross-section in terms of the impurity strength. The results are relevant for transport in graphene in the presence of impurities that do not induce scattering between the Dirac points in the Brillouin zone.
No associations
LandOfFree
Elastic scattering theory and transport in graphene does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Elastic scattering theory and transport in graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elastic scattering theory and transport in graphene will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-178936