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

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 Kekule 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.

12 pages, 10 figures; references and comments added; published version

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Cited by in corpus (10)

• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
• Numerical study of the conductivity of graphene monolayer within the effective field theory approach
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
• Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator
• Gross-Neveu model with Borici-Creutz fermion
• Mass spectroscopy using Borici-Creutz fermion on 2D lattice
• Green functions in graphene monolayer with Coulomb interactions taken into account