Explanation for the isotropy of the Dirac cone in graphene

Details Explanation for the isotropy of the Dirac cone in graphene Explanation for the isotropy of the Dirac cone in graphene

2009-03-03

arxiv.org/abs/0903.0655v2

Physical Review B, vol. 79, 193405 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

2 RevTex pages; stylistic changes, published version

Scientific paper

10.1103/PhysRevB.79.193405

It is shown that in the absence of spontaneous symmetry breaking the Dirac
cones in the system of interacting electrons on honeycomb lattice are isotropic
at low energies. The effect is due to the $Z_3$ subgroup of the $D_3$ symmetry
group of the dispersion relation of Dirac quasiparticles. Consequences of the
violations of the $Z_3$ or the sublattice symmetry are discussed.

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