▎ 摘　　要

Independent modulation of defect modes in one-dimensional fractal potential patterned graphene superlattices with multiple defect layers is performed theoretically. It is found that the fractal structure with defect layers possesses an unusual tunnelling state existing inside the forbidden gap, and the defect modes are compatible with the corresponding defect layer. As a result, the same kind of tunnelling modes corresponding to a certain defect layer could be tuned independently by changing the width of the defect layer. Moreover, altering the period number of self-similar defects could result in a change in the energy interval of the corresponding defect modes. This interesting phenomenon may be beneficial to further experimental studies on graphene-based electronic devices.