Friedel Oscillations, Impurity Scattering, and Temperature Dependence of Resistivity in Graphene

We show that Friedel oscillations (FO) in grapehene are strongly affected by the chirality of electrons in this material. In particular, the FO of the charge density around an impurity show a faster ($\delta \rho \sim r^{-3}$) decay than in conventional 2D electron systems and do not contribute to a linear temperature-dependent correction to the resistivity. In contrast, the FO of the exchange field which surrounds atomically sharp defects breaking the hexagonal symmetry of the honeycomb lattice lead to a negative linear $T$ dependence of the resistivity.

Figure 1

The figure is a schematic representation of the processes renormalizing the scattering amplitude in (a) the Hartree and (b) the Fock channels.

Figure 2

The structure of singularities in the integration. The contours show the position of the singularities of the integrand in the $\theta ,{\theta }^{\prime }$ plane. The arrows indicate the direction of increasing $k/p$.