The role of frequency dependence in dynamical gap generation in graphene

Abstract

We study the frequency dependencies of the fermion and photon dressing functions in dynamical gap generation in graphene. We use a low energy effective QED-like description, but within this approximation, we include all frequency dependent effects including retardation. We obtain the critical coupling by calculating the gap using a non-perturbative Dyson-Schwinger approach. Compared to the results of our previous calculation [1] which used a Lindhard screening approximation instead of including a self-consistently calculated dynamical screening function, the critical coupling is substantially reduced.

13 pages, 5 figures, published version

References in corpus (9)

• The electronic properties of graphene
• Is graphene in vacuum an insulator?
• Supercritical Coulomb center and excitonic instability in graphene
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Variational approach to the excitonic phase transition in graphene
• Critical behaviour of reduced QED${}_{4,3}$ and dynamical fermion gap generation in graphene
• Renormalization group approach to chiral symmetry breaking in graphene
• Analytical expressions for the polarizability of the honeycomb lattice

Cited by in corpus (11)

• Comments on the Chern-Simons photon term in the QED description of graphene
• The effect of a Chern-Simons term on dynamical gap generation in graphene
• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Quantum Criticality of Excitonic Insulating Transition in Nodal Line Semimetal ZrSiS
• The effect of anisotropy on phase transitions in graphene
• 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
• Effects of different 3D QED vertex ansaetze on critical coupling
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Phase transitions in anisotropic graphene