Nonlinear Phenomena in Complex Systems, 2014, Vol.17, No.1, pp.86-96

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2014, Vol.17, No.1, pp.86-96

Partially Breaking Pseudo-Dirac Band Symmetry in Graphene
Halina V. Grushevskaya and George Krylov

We introduce a Dirac-Hartree-Fock self-consistent field approximation for asymmetric charged carriers in monoatomic layer graphene with partially breaking symmetry of Dirac cone. It is based on an assumption on lattice anti-ferromagnetic ordering and generalizes a quantum field theory of graphene with massless pseudo-Dirac Hamiltonian. The proposed approach allows construction of the equation of motion for quasiparticles in graphene with a small but finite dynamic mass.

Key words: graphene, asymmetric charged carriers, Dirac-Hartree-Fock self-consistent field approximation

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