Excitonic instability in two-dimensional degenerate semimetals

Abstract

We study the possibility of excitonic pairing in layered degenerate semimetals such as graphite, where the electron density of states almost vanishes at the Fermi level and, therefore, the Coulomb interactions remain essentially unscreened. By focusing on the Dirac-like low-energy electron excitations and numerically solving a non-linear gap equation for the order parameter, we obtain a critical value of the Coulomb coupling and establish the Kosterlitz-Thouless-like nature of a putative semimetal-to-excitonic insulator transition.

Latex, 5 pages, 4 figures

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Cited by in corpus (113)

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• Interactions and phase transitions on graphene's honeycomb lattice
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
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• Is graphene in vacuum an insulator?
• Theory of interacting electrons on the honeycomb lattice
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• Lattice field theory simulations of graphene
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• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
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• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Interaction and excitonic insulating transition in graphene
• Coulomb interacting Dirac fermions in disordered graphene
• Multi-meson Yukawa interactions at criticality
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• The importance of electron-electron interactions in the RKKY coupling in graphene
• Exciton formation in graphene bilayer
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• Fano resonance in Raman scattering of graphene
• Renormalization group flow of quartic perturbations in graphene: Strong coupling and large-N limits
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• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
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• Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
• Numerical evidence of conformal phase transition in graphene with long-range interactions
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• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
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• Superconducting and excitonic quantum phase transitions in doped systems with Dirac electrons
• Electron states in the field of charged impurities in two-dimensional Dirac systems
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• Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
• Eliashberg theory of excitonic insulating transition in graphene
• Excitonic mass gap in uniaxially strained graphene
• Excitonic instability of two-dimensional tilted Dirac cones
• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Superconductivity in two-dimensional disordered Dirac semimetals
• The role of frequency dependence in dynamical gap generation in graphene
• Kekule-distortion-induced Exciton instability in graphene
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• The effect of vertex corrections on the possibility of chiral symmetry breaking, induced by long-range Coulomb repulsion in graphene
• Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice
• Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons
• Supercriticality of novel type induced by electric dipole in gapped graphene
• Quantum-Critical transport at a semimetal-to-insulator transition on the honeycomb lattice
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• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
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• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
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• Applications of lattice QCD techniques for condensed matter systems
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• Field theoretic study of electron-electron interaction effects in Dirac liquids
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• Massless Dirac cones in graphene: experiments and theory
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• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
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• Collective excitations of fractional quantum Hall states in monolayer graphene
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• Gapped energy spectra around the Dirac node at the surface of a 3D topological insulator in the presence of the time-reversal symmetry
• The Hubbard Model on the Honeycomb Lattice with Hybrid Monte Carlo