Lattice gauge theory model for graphene
arXiv:1005.2528 · doi:10.1103/PhysRevB.82.121418
Abstract
The effects of the electromagnetic (e.m.) electron-electron interactions in half-filled graphene are investigated in terms of a lattice gauge theory model. By using exact Renormalization Group methods and lattice Ward Identities, we show that the e.m. interactions amplify the responses to the excitonic pairings associated to a Kekulé distortion and to a charge density wave. The effect of the electronic repulsion on the Peierls-Kekulé instability, usually neglected, is evaluated by deriving an exact non-BCS gap equation, from which we find evidence that strong e.m. interactions among electrons facilitate the spontaneous distortion of the lattice and the opening of a gap.
5 pages, 2 figures; typos corrected. Final version published in Phys. Rev. B
References in corpus (11)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Substrate-induced band gap opening in epitaxial graphene
- Interactions and phase transitions on graphene's honeycomb lattice
- Electron fractionalization in two-dimensional graphenelike structures
- Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
- Coulomb interaction, ripples, and the minimal conductivity of graphene
- Chiral Gauge Theory for Graphene
- Effect of electron-electron interactions on the conductivity of clean graphene
- Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
- Fractional statistics of topological defects in graphene and related structures