Non-Abelian Properties of Charge Carriers in a Quasirelativistic Graphene Model

Charge carrier transport peculiarities stipulated by non-trivial topology of a quasi-relativistic graphene model are investigated. It has been demonstrated that the model predicts additional topological contributions such as Majorana-like mass-term correction to ordinary Ohmic component of current, spin-orbital-coupling and "Zitterbewegung"-effect corrections to conductivity in space and time dispersion regime. Phenomena of negative differential conductivity for graphene have been interpreted based on the proposed approach.