Phys. Rev. Lett. 97, 146401 (2006) [4 pages]Interactions and Phase Transitions on Graphene’s Honeycomb LatticeReceived 16 June 2006; published 2 October 2006 The low-energy theory of interacting electrons on graphene’s two-dimensional honeycomb lattice is derived and discussed. In particular, the Hubbard model in the large-N limit is shown to have a semimetal–antiferromagnetic insulator quantum critical point in the universality class of the Gross-Neveu model. The same equivalence is conjectured to hold in the physical case N=2, and its consequences for various physical quantities are examined. The effects of the long-range Coulomb interaction and the magnetic field are discussed. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.146401
DOI:
10.1103/PhysRevLett.97.146401
PACS:
71.10.Fd, 73.43.Nq, 81.05.Uw
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