Fermi velocity renormalization and dynamical gap generation in graphene

Abstract

We study the renormalization of the Fermi velocity by the long-range Coulomb interactions between the charge carriers in the Dirac-cone approximation for the effective low-energy description of the electronic excitations in graphene at half filling. Solving the coupled system of Dyson-Schwinger equations for the dressing functions in the corresponding fermion propagator with various approximations for the particle-hole polarization we observe that Fermi velocity renormalization effects generally lead to a considerable increase of the critical coupling for dynamical gap generation and charge-density wave formation at the semimetal-insulator transition.

10 pages, 4 figures, v2: corrections added, version published in PRB

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• Phase diagram of the Quantum Electrodynamics of 2D and 3D Dirac semimetals
• On the Optical Properties of Excitons in Buckled 2D Materials in an External Electric Field
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Renormalization of the band gap in 2D materials through the competition between electromagnetic and four-fermion interactions
• Dynamical gap generation in graphene with frequency dependent renormalization effects
• Non-perturbative renormalization group calculation of the quasi-particle velocity and the dielectric function of graphene
• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• Excitonic mass gap in uniaxially strained graphene
• The role of frequency dependence in dynamical gap generation in graphene
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Can freestanding Xene monolayers behave as excitonic insulators?
• Disorder-induced phase transition in Dirac systems beyond the linear approximation
• The effect of vertex corrections on the possibility of chiral symmetry breaking, induced by long-range Coulomb repulsion in graphene
• Impurity effects and bandgap-closing in massive Dirac systems
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Applications of lattice QCD techniques for condensed matter systems
• Large conduction band and Fermi velocity spin splittings due to Coulomb interactions in single-layer MoS_{2}
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Massless Dirac cones in graphene: experiments and theory
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Interaction-induced topological superconductivity in antiferromagnet-superconductor junctions
• Coulomb center instability in bilayer graphene
• The effect of anisotropy on phase transitions in graphene
• Keldysh functional renormalization group for electronic properties of graphene
• Influence of the four-fermion interactions in (2+1)D massive electrons system
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Electron pairing with gapless excitations in mixed double layers
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Reduced QED with few planes and fermion gap generation
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Two Dimensional Honeycomb Materials: random fields, dissipation and fluctuations
• Chemical-potential flow equations for graphene with Coulomb interactions