Graphene has a high potential for use in electronic devices because it has a unique characteristic,electrons in massless grasses and has a speed close to the speed of light.Graphene conductivity at temperature space is 40 000 cm~2V~(-1)s~(-1)in the air.In addition,thermal conductivity can reach 2 800 Wm~(-1)K~(-1).The mechanical properties of graphene are very strong and flexible,and optical properties it has a white light transmittance of 95%.Therefore,graphene is suitable for transparent screen and the flexible electrode.The energy band gap of monolayer graphene can be changed by reducing the size,as for the band gap of bilayer graphene was affected by symmetry between two layers.So,it is interesting to research the band gap characteristics of bilayer armchair graphene nanoribbon(AGNR).In this paper,we have calculated the band gap of bilayer graphene and bilayer AGNR in various parameters such as band width and symmetry between two layers.The method used is tight binding method by only taking into account its nearest neighbors only.The results obtained from this simulation show that the band gap will be more open if asymmetry of the structure bilayer graphene is increasing and the band gap of AGNR will be more open if ribbon width decreased,is not affected by asymmetry.
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