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Phys Rev Lett. 2006 Oct 6;97(14):146401. Epub 2006 Oct 2.

Interactions and phase transitions on graphene's honeycomb lattice.

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Department of Physics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada.


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.

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