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We propose a model for the electric current in graphene in which electriccarriers are supplied by virtual particles allowed by the uncertaintyrelations. The process to make a virtual particle real is described by a weakvalue of a group velocity: the velocity is requisite for the electric field togive the virtual particle the appropriate changes of both energy and momentum.With the weak value, we approximately estimate the electric current,considering the ballistic transport of the electric carriers. The current showsthe quasi-Ohimic with the minimal conductivity of the order of e^2/h perchannel. Crossing a certain ballistic time scale, it is brought to obey theSchwinger mechanism.

A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism