Conductivity of the defectless Graphene

TL;DR

This paper calculates the electrical conductivity of defect-free graphene at zero temperature and high dielectric constant, modeling it as a rare plasma of particles and holes using Boltzmann kinetics.

Contribution

It provides a theoretical analysis of graphene's conductivity under ideal conditions, focusing on the plasma behavior of charge carriers.

Findings

Conductivity is derived for defectless graphene at neutrality point.

Graphene behaves as a rare plasma of particles and holes.

Results are applicable at zero temperature and high dielectric constants.

Abstract

Conductivity of the defectless, perfect crystal graphene is found at the neutrality point at zero temperature and in the limit of large dielectric constant of the substrate. The steady state of the graphene with weak current is assumed to be an ideal, rare plasma of particle and hole excitations governed by the Boltzmann kinetic equation.