Quantum capacitance in Armchair Graphene nanoribbon considering edge effect for different channel width

Armchair Graphene nanoribbons (A-GNRs) are important tonic in nanoscale transistor dominated laboratory because of its semiconducting properties. Edge disorder in C-C bond or effect in A-GNR has an important effect on electronic properties like bandgap, capacitance. In previous literature these properties are investigated without considering any edge effect of A-GNRs. In this paper we will observe the band gap energy, quantum capacitance considering edge effect for different width of A-GNRs. We will then observe a comparison of quantum capacitance with considering edge effect and simple band gap energy formula.