Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice

Yasufumi Araki

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Phase structure of monolayer graphene is studied on the basis of a U(1) gauge theory defined on the honeycomb lattice. Motivated by the strong coupling expansion of U(1) lattice gauge theory, we consider on-site and nearest-neighbor interactions between the fermions. When the on-site interaction is dominant, the sublattice symmetry breaking (SLSB) of the honeycomb lattice takes place. On the other hand, when the interaction between nearest-neighboring sites is relatively strong, there appears two different types of spontaneous Kekulé distortion (KD1 and KD2), without breaking the sublattice symmetry. The phase diagram and phase boundaries separating SLSB, KD1, and KD2 are obtained from the mean-field free energy of the effective fermion model. A finite gap in the spectrum of the electrons can be induced in any of the three phases.

Original languageEnglish
Article number125436
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number12
DOIs
Publication statusPublished - 2012 Mar 27

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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