The effect of a Chern-Simons term on dynamical gap generation in graphene

Abstract

We study the effect of a Chern-Simons term on dynamical gap generation in a low energy effective theory that describes some features of mono-layer suspended graphene. We use a non-perturbative Schwinger-Dyson approach. We solve a set of coupled integral equations for eight independent dressing functions that describe fermion and photon degrees of freedom. We find a strong suppression of the gap, and corresponding increase in the critical coupling, as a function of increasing Chern-Simons coefficient.

28 pages, 8 figures

References in corpus (3)

• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3

Cited by in corpus (4)

• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
• Bosonization, mass generation, and the pseudo Chern-Simons action
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model