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We apply the recently-developed partition-free time-dependentLandauer-B\"uttiker (TD-LB) formalism to the study of periodically-driventransport in graphene nanoribbons (GNR). When an AC driving is applied, thisformalism can be used to prove generic conditions for the existence of anon-zero DC component of the net current (pump current) through the moleculardevice. Time-reversal symmetry breaking in the driving field is investigatedand found to be insufficient for a non-zero pump current. We then deriveexplicit formulas for the current response to a particular biharmonic bias. Wecalculate the pump current through different GNR configurations and find thatthe sign and existence of a non-zero pump current can be tuned by simplealterations to the static parameters of the TD bias. Further, we investigatetransient currents in different GNR configurations. We find a selection rule ofeven and odd harmonic response signal depending on a broken dynamical inversionsymmetry in the bias.

Time-dependent Landauer-B\"uttiker approach to charge pumping in AC-driven graphene nanoribbons