First-principle calculations within Eliashberg theory framework have been utilized to investigate theoretically the effect of hole-doping along with applying strain on superconductivity in a-graphyne and graphene as a benchmark. We show how the electronic properties, electron-phonon interaction strength and superconducting critical temperature T of a-graphyne and graphene are affected by hole-doping and biaxial tensile strain. Although, intrinsic a-graphyne is semi-metal but it is found that increasing holedoped concentration of 12.5–25% changes its electronic properties from metal to semiconductor with a band gap energy of 0.46 eV. Furthermore, we demonstrate that it is not possible to induce superconductivity in a-graphyne by the conspiracy of 12.5% hole-doping and critical strain (8%) contrary to 12.5% hole-doped graphene under critical strain (12%) which becomes superconductor with Tc ~ 12 K. It seems that the presence of C„C bond suppresses the effect of strain significantly and hole-doping slightly on improving electron-phonon coupling constant and Tc in contrast to graphene.

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