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Short range Coulomb correlations render massive Dirac fermions massless

Strongly Correlated Electrons 2012-05-30 v1 Materials Science

Abstract

Tight binding electrons on a honeycomb lattice are described by an effective Dirac theory at low energies. Lowering symmetry by an alternate ionic potential (Δ\Delta) generates a single-particle gap in the spectrum. We employ the dynamical mean field theory (DMFT) technique, to study the effect of on-site electron correlation (UU) on massive Dirac fermions. For a fixed mass parameter Δ\Delta, we find that beyond a critical value Uc1(Δ)U_{c1}(\Delta) massive Dirac fermions become massless. Further increasing UU beyond Uc2(Δ)U_{c2}(\Delta), there will be another phase transition to the Mott insulating state. Therefore the competition between the single-particle gap parameter, Δ\Delta, and the Hubbard UU restores the semi-metallic nature of the parent Hamiltonian. The width of the intermediate semi-metallic regime shrinks by increasing the ionic potential. However, at small values of Δ\Delta, there is a wide interval of UU values for which the system remains semi-metal.

Keywords

Cite

@article{arxiv.1112.3616,
  title  = {Short range Coulomb correlations render massive Dirac fermions massless},
  author = {M. Ebrahimkhas and S. A. Jafari},
  journal= {arXiv preprint arXiv:1112.3616},
  year   = {2012}
}

Comments

4 pages, 5 figures

R2 v1 2026-06-21T19:52:11.704Z