Color-dependent conductance of graphene with adatoms

TL;DR

This paper investigates how the conductance of graphene with adatoms varies depending on impurity distribution and crystal orientation, revealing color-dependent effects in ballistic transport at the Dirac point.

Contribution

It introduces a theoretical framework showing that impurity distribution among lattice sites affects graphene's conductance, confirmed by parameter-free numerical simulations.

Findings

Conductance depends on impurity distribution among lattice sites.

Conductivity is sensitive to crystal orientation with preferred impurity sites.

Numerical simulations confirm the theoretical predictions.

Abstract

We study ballistic transport properties of graphene with a low concentration of vacancies or adatoms. The conductance of graphene doped to the Dirac point is found to depend on the relative distribution of impurities among different sites of the honeycomb lattice labeled in general by six colors. The conductivity is shown to be sensitive to the crystal orientation if adatom sites have a preferred color. Our theory is confirmed by numerical simulations using recursive Green's functions with no adjustable parameters.