Magnetoconductivity of Dirac fermions in graphene under charged impurity scatterings

TL;DR

This paper investigates how charged impurities and magnetic fields affect the electrical conductivity of graphene with Dirac fermions, focusing on quantum interference effects and weak localization phenomena.

Contribution

It provides a theoretical analysis of magnetoconductivity in graphene considering charged impurity scattering using the self-consistent Born approximation and Bethe-Salpeter equations.

Findings

Calculated magnetoconductivity matches experimental data.

Identified conditions for weak localization in graphene.

Analyzed the influence of sample length and temperature on conductivity.

Abstract

On the basis of self-consistent Born approximation, we solve the Bethe-Salpeter matrix equations for Cooperon propagator of the Dirac fermions in graphene under the charged impurity scatterings and a weak external magnetic field. In the absence of the magnetic field, the quantum interference effect in the electric conductivity from the contribution of Cooperon propagator will be studied and possible weak localization in the system is discussed in terms of the sample length and temperature. The magnetoconductivity stemming from the quantum interference effect is calculated, and the obtained results are in good agreement with experimental measurements.