Interaction and excitonic insulating transition in graphene

Abstract

The strong long-range Coulomb interaction between massless Dirac fermions in graphene can drive a semimetal-insulator transition. We show that this transition is strongly suppressed when the Coulomb interaction is screened by such effects as disorder, thermal fluctuation, doping, and finite volume. It is completely suppressed once the screening factor $\mu$ is beyond a threshold ${\mu }_c$ even for infinitely strong coupling. However, such transition is still possible if there is an additional strong contact four-fermion interaction. The differences between screened and contact interactions are also discussed.

7 pages, 4 figures, to appear in Phys. Rev. B

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• The electronic properties of graphene
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• Quantum critical scaling in graphene
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• Lattice field theory simulations of graphene
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• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
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• Strong potential impurities on the surface of a topological insulator
• Absence of dynamical gap generation in suspended graphene
• Disorder effects at a nematic quantum critical point in d-wave cuprate superconductor
• Critical behaviour of reduced QED${}_{4,3}$ and dynamical fermion gap generation in graphene
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• Numerical evidence of conformal phase transition in graphene with long-range interactions
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• 1/N Expansion in Correlated Graphene
• Incomplete Protection of the Surface Weyl Cones of the Kondo Insulator SmB${}_6$: Spin Exciton Scattering
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Dynamical gap generation in graphene with frequency dependent renormalization effects
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
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• Dynamical fermion mass generation and exciton spectra in graphene
• Eliashberg theory of excitonic insulating transition in graphene
• Dynamical chiral symmetry breaking in QED${}_3$ at finite density and impurity potential
• Superconductivity in two-dimensional disordered Dirac semimetals
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• The role of frequency dependence in dynamical gap generation in graphene
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• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• 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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• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Effects of different 3D QED vertex ansaetze on critical coupling
• Influence of a uniform magnetic field on dynamical chiral symmetry breaking in QED${}_3$
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• Gapped energy spectra around the Dirac node at the surface of a 3D topological insulator in the presence of the time-reversal symmetry
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Beth-Uhlenbeck equation for the thermodynamics of fluctuations in a generalised 2+1D Gross-Neveu model