Quantum capacitance modeling of graphene nanoribbons in nondegenerate regime considering edge bond relaxation and third nearest neighbor interaction effect

Graphene nanoribbon(GNR) provides a considerable band gap in graphene based nanodevice. In the issue of opening a band gap, the edge effect plays an important role for realizing the practical bandgap energy. Quantum capacitance is one of the most significant parameters which controls the device speed is also influenced by edge effect. In this paper we will observe bandgap for edge effect in energy dispersion curve at different states of energy level. Then we will observe quantum capacitance for corresponding energy in nondegenerate regime considering edge bond relaxation and the third nearest neighbor (3NN) interaction effects. From which we will analyze what amount of device delay occurs for practical GNR based device.