Magneto-optical Anomalies and Majorana-like Fermion Interactions in Graphene

Effects of the bandstructure perturbation by an external electromagnetic field and their manifestation in longitudinal and optical complex conductivities of the system have been theoretically investigated within the framework of the quasi-relativistic graphene model in a high-energy (~k · ~p) approximation that possesses topologically nontrivial Majorana-like quasiparticle excitations. It has been shown that both polarization and Hall conductivity behave anomalously under spatial dispersion conditions when the Majorana mass term, stipulated chiral anomaly is included into the model.