The Study Of Electronic Properties Of Non-Flat Graphene Nanoribbons

Because a graphene sheet is not flat and there are periodic ups and downs, it is a quasi-planar structure. To simulate the ups and downs of graphene sheets and show the non-flat effect, we considered following two armchair nanoribbons:the transverse periodic fluctuation shape, and longitudinal edge warping shape with periodicity. The electronic dispersions of the two armchair nanoribbons are studied by using the tight-binding approach. In all calculations the contributions of s-orbit components and the inclined angle of π orbits to energy bands are taken into account. The computed results show that for the non-flat armchair graphene nanoribbons the energy spectra are obviously dependent of the frequency and amplitude. Because different shapes have different band gaps, this method may be used to control the band gap of armchair nanoribbons.