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We present numerical simulations of the capacitive coupling between graphenenanoribbons of various widths and gate electrodes in different configurations.We compare the influence of lateral metallic or graphene side gate structureson the overall back gate capacitive coupling. Most interestingly, we find acomplex interplay between quantum capacitance effects in the graphenenanoribbon and the lateral graphene side gates, giving rise to anunconventional negative quantum capacitance. The emerging non-linear capacitivecouplings are investigated in detail. The experimentally relevant relativelever arm, the ratio between the coupling of the different gate structures, isdiscussed.

Negative quantum capacitance in graphene nanoribbons with lateral gates