Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-06-07
Phys.Rev.Lett. 97 (2006) 146401
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
four pages, one figure; few typos corrected, references added
Scientific paper
10.1103/PhysRevLett.97.146401
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 semi-metal - 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 of the magnetic field are discussed.
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