Explanation for the isotropy of the Dirac cone in graphene

Abstract

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.

2 RevTex pages; stylistic changes, published version

References in corpus (4)

• First direct observation of Dirac fermions in graphite
• Interactions and phase transitions on graphene's honeycomb lattice
• Theory of interacting electrons on the honeycomb lattice
• Zero modes of tight binding electrons on the honeycomb lattice

Cited by in corpus (2)

• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Dirac Magic and Lifshitz Transitions in AA-Stacked Twisted Multilayer Graphene