Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene

TL;DR

This paper investigates how Friedel oscillations in graphene are influenced by electron chirality, revealing unique decay behaviors and their effects on temperature-dependent resistivity, especially around defects that break lattice symmetry.

Contribution

It demonstrates that charge density Friedel oscillations decay faster in graphene and do not affect linear temperature resistivity, while exchange field oscillations do influence resistivity.

Findings

Charge density FO decay as 1/r^3 in graphene.

Charge density FO do not contribute to linear T-dependent resistivity.

Exchange field FO lead to negative linear T dependence of resistivity.

Abstract

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, $1/r^3$, 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.