Dynamical gap generation in graphene with frequency dependent renormalization effects

Abstract

We study the frequency dependencies in the renormalization of the fermion Greens function for the $\pi$-band electrons in graphene and their influence on the dynamical gap generation at sufficiently strong interaction. Adopting the effective QED-like description for the low-energy excitations within the Dirac-cone region we self consistently solve the fermion Dyson-Schwinger equation in various approximations for the photon propagator and the vertex function with special emphasis on frequency dependent Lindhard screening and retardation effects.

19 pages, 5 figures

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• Comments on the Chern-Simons photon term in the QED description of graphene
• Excitonic mass gap in uniaxially strained graphene
• The role of frequency dependence in dynamical gap generation in graphene
• Can freestanding Xene monolayers behave as excitonic insulators?
• The effect of a Chern-Simons term on dynamical gap generation in graphene
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• The effect of anisotropy on phase transitions in graphene
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• A non-perturbative study of the interplay between electron-phonon interaction and Coulomb interaction in undoped graphene
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Effects of different 3D QED vertex ansaetze on critical coupling
• Phase transitions in anisotropic graphene
• Bridging the gap between numerics and experiment in free standing graphene
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point