Simulation of quantum capacitance in graphene nanoribbons considering channel width variation

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Graphene nanoribbon (GNR) relinquishes the zero band gap technology provides the promising candidates in electronic conduction. Lessening the width in nano scale as a ribbon creates considerable bandgap. The effect of changing the width of GNR, classical capacitance follows the linear curve need higher analysis of quantum capacitance in different regime using variation of width method. Persistence of quantum phenomena is observed through comparison of quantum capacitance and classical capacitance in nano scale device. In this paper at first we will observe the band gap energy for varying GNR's width. We will also calculate classical capacitance by varying again GNR's width. But classical capacitance does not give full information when electron goes through GNR channel. For this we will calculate a capacitance formed in GNR by varying GNR's width called quantum capacitance considering two regime named as degenerate and nondegenerate regime. From this we will get information that among classical capacitance, quantum capacitance in degenerate and nondegenerate regime which one dominates or is dominated over another. Upon this a compromise of between width of GNR and capacitance is the better designing of GNR based device in nanotechnology.