  In this theoretical study, we explore the manner in which the quantum
correction due to weak localization is suppressed in weakly-disordered
graphene, when it is subjected to the application of a non-zero voltage. Using
a nonequilibrium Green function approach, we address the scattering generated
by the disorder up to the level of the maximally crossed diagrams, hereby
capturing the interference among different, impurity-defined, Feynman paths.
Our calculations of the charge current, and of the resulting differential
conductance, reveal the logarithmic divergence typical of weak localization in
linear transport. The main finding of our work is that the applied voltage
suppresses the weak localization contribution in graphene, by introducing a
dephasing time that decreases inversely with increasing voltage.
