Interactions and phase transitions on graphene's honeycomb lattice.

  title={Interactions and phase transitions on graphene's honeycomb lattice.},
  author={Igor F. Herbut},
  journal={Physical review letters},
  volume={97 14},
  • I. Herbut
  • Published 7 June 2006
  • Physics
  • Physical review letters
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… 

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