Theoretical investigation on electronic properties and carrier mobilities of BN-substituted graphyne nanoribbons

•The optimized one-dimensional BN-substituted graphyne NRs still keep plane structures.•The stabilities of these NRs decrease as their widths increase.•The band gap can be tuned by BN substituting, which enlarge band gap of the corresponding graphyne•The BN substituting modificates the charge carrier transport property of pure graphyne NRs.