Pseudopotential model for Dirac electrons in graphene with line defects

We consider electron transport in a planar fermion model containing various types of line defects modelled by $\delta$–function pseudopotentials with different matrix coefficients. The transmission probability for electron transport through the defect line is obtained for various types of pseudopotentials. For the schematic model considered that may describe a graphene structure with different types of linear defects, the valley polarization is obtained.