▎ 摘 要
Bandgap engineering in graphene has become a fervent subject of research due to its relevance in technological applications. In this work, we proposed massive-massless graphene superlattices (MMGSLs) to tune the angle dependent transmission properties. We have considered breaking symmetry substrates to generate massive and massless regions. We report an angular dependence of the transmission gaps and minibands as a function of the angle of incidence of the Dirac electrons in MMGSLs. Our results show that the transmission gaps and minibands have a trigonometric angular dependence based on the secant in the entire transmission energy range. In addition, the transmission gaps and minibands are well-defined at normal incidence, in contrast to gated graphene superlattices. These findings indicate that MMGSLs could be a possibility for bandgap engineering in graphene.