Transient switch-on/off currents in molecular junctions

Based on the nonequilibrium density matrix theory we put forward a unified description of the transient and the steady state current formation through a molecular junction. It is demonstrated that the current follows the time evolution of the populations of those molecular charged states which participate in the inter-electrode charge transmission. As an example, the formation of switch-on/switch-off currents is analyzed for a junction where the molecule has two active terminal sites. It is shown that just after a sudden voltage switch-on or switch-off, the resulting transient currents can significantly exceed their steady state value. This feature is caused by molecular charging or discharging processes, which are fast compared to those processes responsible for establishing the steady state current in the junction. The largest transient currents appear if the coupling of the molecule to the adjacent electrodes is asymmetric, or if the applied voltage causes a transformation of extended molecular states ...