Abstract
We investigate the quantum size effect combined with the disorder effect on an armchairgraphene nanoribbon with s-wave pairing. In the framework of the Bogoliubov–de Gennesequation, the spatial distribution of the pairing potential is self-consistently determined forboth pure and disordered systems. The dependence of the order parameter on the chemicalpotential is calculated for the zero-disordered case and a gap-like structure with two peaksis found. The relationship of the average pairing potential to the width of ribbon isdiscussed. Moreover, the disorder effect on the associated behavior is studied.
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