Theory of interacting electrons on the honeycomb lattice

@article{Herbut2009TheoryOI,
  title={Theory of interacting electrons on the honeycomb lattice},
  author={Igor F. Herbut and Vladimir Juri{\vc}i{\'c} and Bitan Roy},
  journal={Physical Review B},
  year={2009},
  volume={79},
  pages={085116}
}
The low-energy theory of electrons interacting via repulsive short-range interactions on graphene's honeycomb lattice at half filling is presented. The exact symmetry of the Lagrangian with local quartic terms for the Dirac field dictated by the lattice is D_2 x U_c(1) x (time reversal), where D_2 is the dihedral group, and U_c(1) is a subgroup of the SU_c(2) "chiral" group of the non-interacting Lagrangian, that represents translations in Dirac language. The Lagrangian describing spinless… 

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