Motivated by the surge in research activities on graphene, we investigate instabilities of electrons on the honeycomb lattice, interacting by onsite and nearest-neighbor terms, using a renormalization group scheme. Near half band-filling, critical minimal interaction strengths are required for instabilities toward antiferromagnetic or charge-density wave order. Away from half filling, f-wave triplet pairing and d+id singlet pairing instabilities are found to emerge out of density-wave regimes.
@article{arxiv.0711.1259,
title = {Density waves and Cooper pairing on the honeycomb lattice},
author = {Carsten Honerkamp},
journal= {arXiv preprint arXiv:0711.1259},
year = {2009}
}