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On the basis of self-consistent Born approximation, we present a theory ofweak 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 tripletpseudospin Cooperons at long-wave length states by perturbation treatment. Thesolution to the Cooperon in the presence of the external weak magnetic field isalso obtained. We calculate the quantum interference correction to theconductivity and present the comparison with experiments. It is shown that thepresent calculation for the magnetoconductivity is in good agreement with someof the experimental measurements.

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