Wavevector filtering in graphene with the spatially modulated strength of spin–orbit interactions

Based on the transfer-matrix method, we show that the angle resolved transmission probability through the graphene-based structure with the spatially modulated strength of spin–orbit interactions (SOIs) can be efficiently controlled by SOIs strength, number of layers, and incident energy of the electron. It is anticipated to apply such a phenomenon to design an electron wavevetor filter based on the graphene material by a pure electrical method.