Phenomenological study of the electronic transport coefficients of graphene

TL;DR

This paper investigates how electronic transport properties like conductivity, thermal conductivity, and thermopower depend on electron density in doped graphene, using experimental data and a semi-classical model.

Contribution

It provides a detailed analysis of the density dependence of transport coefficients and optical conductivity in graphene, and clarifies the classical Hall effect behavior under certain conditions.

Findings

Transport coefficients depend on electronic density in doped graphene.

Optical conductivity varies with electronic density.

Classical Hall effect in graphene mirrors the independent electron case under specific relaxation time conditions.

Abstract

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of doped graphene. Also the electronic density dependence of the optical conductivity is obtained. Finally we show that the classical Hall effect (low field) in graphene has the same form as for the independent electron case, characterized by a parabolic dispersion, as long as the relaxation time is proportional to the momentum.