Interactions and phase transitions on graphene's honeycomb lattice
Mesoscale and Nanoscale Physics
2007-05-23 v3 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0606195,
title = {Interactions and phase transitions on graphene's honeycomb lattice},
author = {Igor F. Herbut},
journal= {arXiv preprint arXiv:cond-mat/0606195},
year = {2007}
}
Comments
four pages, one figure; few typos corrected, references added