Critical Behavior in Graphene with Coulomb Interactions

Abstract

We demonstrate that in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this behavior lies in particle-hole scattering, for which the Coulomb interaction induces anomalously close approaches. With increasing interaction strength the relevant power law changes from real to complex, leading to an unusual instability characterized by a complex-valued susceptibility in the thermodynamic limit. Measurable quantities, as well as the connection to classical two dimensional systems, are discussed.

final version to be published on PRL

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Cited by in corpus (34)

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• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• Magnetic field driven instability of charged center in graphene
• Phase diagram of the Quantum Electrodynamics of 2D and 3D Dirac semimetals
• Screening effects on the excitonic instability in graphene
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• Excitonic Effects in Two-Dimensional Massless Dirac Fermions
• Marginal Fermi liquid versus excitonic instability in 3D Dirac semimetals
• Supercritical instability in graphene with two charged impurities
• Screening of a charged impurity in graphene in a magnetic field
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• Is graphene on the edge of being a topological insulator?
• 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
• Supercriticality of novel type induced by electric dipole in gapped graphene
• Power law Kohn anomalies and the excitonic transition in graphene
• Impurity effects and bandgap-closing in massive Dirac systems
• Screening and gap generation in bilayer graphene
• Power law Kohn anomaly in undoped graphene induced by Coulomb interactions
• Higher-order renormalization of graphene many-body theory
• Massless Dirac cones in graphene: experiments and theory
• Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
• Coulomb center instability in bilayer graphene
• Generalized dynamical mean-field theory of two-subalttice systems with non-local interactions and its application to study charge and spin correlations in graphene
• Magnetic, charge, and transport properties of graphene nanoflakes
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields