Weak localization and magnetoconductance of Dirac fermions under charged impurities in graphene

TL;DR

This paper develops a theoretical model for weak localization and magnetoconductance of Dirac fermions in graphene with charged impurities, matching experimental results through quantum interference corrections.

Contribution

It provides a self-consistent Born approximation-based theory for weak localization in graphene, including explicit solutions for Cooperons and magnetoconductance under magnetic fields.

Findings

The theory accurately predicts magnetoconductance in graphene with charged impurities.

Quantum interference corrections significantly influence conductivity.

Results align well with experimental measurements.

Abstract

On the basis of self-consistent Born approximation, we present a theory of weak localization of Dirac fermions under finite-range scatters in graphene. With an explicit solution to the ground state of singlet pseudospin Cooperons, we solve the Bethe-Salpeter matrix equation for all the singlet and triplet pseudospin Cooperons at long-wave length states by perturbation treatment. The solution to the Cooperon in the presence of the external weak magnetic field is also obtained. We calculate the quantum interference correction to the conductivity and present the comparison with experiments. It is shown that the present calculation for the magnetoconductivity is in good agreement with some of the experimental measurements.