Abstract
Using the non-equilibrium Green’s function formalism, we investigate nonlinear transport andcharging effects of gated graphene nanoribbons (GNRs) with an even number of zigzag chains.We find a negative differential resistance (NDR) over a wide range of gate voltages with anon/off ratio ∼ 106 for narrow enough ribbons. This NDR originates from the parity selection rule and alsoprohibition of transport between discontinuous energy bands. Since the external field is wellscreened close to the contacts, the NDR is robust against the electrostatic potential.However, for voltages higher than the NDR threshold, due to charge transfer through theedges of the zigzag GNR (ZGNR), screening is reduced such that the external potential canpenetrate inside the ribbon giving rise to smaller values of off-current. Furthermore, theon/off ratioof the current depends on the aspect ratio of the length/width and also edge impurity. Moreover, theon/off ratio displays a power law behavior as a function of ribbon length.
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