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.

arXiv comment28 pages, 8 figures

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Cited by in corpus (8)

• Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
• 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
• The effect of anisotropy on phase transitions in graphene
• Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane
• Non-perturbative field theoretical aspects of graphene and related systems
• 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