Graphyne is a single layer planer sheet of carbon atoms with an expected better electronic property in comparison to graphene as a wonder material. In this paper, the consequence of considering different carbon-carbon binding energy is studied by hopping energy variations in the Hamiltonian and equivalently the uniform structure is modeled. The effect of simulated circular twisting on the band structure of ϒ 2 -graphyne is analytically investigated. Also, the expansion of the lattice parameter as a result of the circular twist is modeled. Moreover, the density of states for twist steps is maintained. According to the results, the conduction and valence band energies are receding by the appearance of a band gap. Additionally, it is determined that metallic behavior in ϒ2-graphyne may alter to semiconducting by controlling the circular twisting angle which can be tested on sensor application under chemicals.

No abstract