Magnetoconductivity of Dirac fermions in graphene under charged impurity scatterings

On the basis of the self-consistent Born approximation, we solve the Bethe-Salpeter matrix equations for a Cooperon propagator of Dirac fermions in graphene under 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 the Cooperon propagator is studied and a 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.