2006/06/16 by Igor F. Herbut · 3 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevlett.97.146401
published as Phys.Rev.Lett. 97 (2006) 146401 · four pages, one figure; few typos corrected, references added
arxiv created 2006/06/16 · arxiv updated 2009/12/01
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.