Massive Dirac fermions in single-layer graphene

Abstract

Motivated by the results of recent photoemission and tunneling studies, we discuss potential many-body sources of a finite gap in the Dirac fermion spectrum of graphene. Specifically, we focus on the putative Peierls- and Cooper-like pairing instabilities which can be driven by sufficiently strong Coulomb and electron-phonon interactions, respectively. Our results compare favorably with the available experimental and Monte Carlo data.

Latex, 6p., no figures

References in corpus (21)

• Substrate-induced band gap opening in epitaxial graphene
• Strong suppression of weak (anti)localization in graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Interactions and phase transitions on graphene's honeycomb lattice
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Origins of anomalous electronic structures of epitaxial graphene on silicon carbide
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• The zero-energy state in graphene in a high magnetic field
• Scanning tunneling spectroscopy of inhomogeneous electronic structure in monolayer and bilayer graphene on SiC
• Gauge field induced by ripples in graphene
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Velocity Renormalization and Carrier Lifetime in Graphene from Electron-Phonon Interaction
• Theory of resonant multiphonon Raman scattering in graphene
• Origin of the energy bandgap in epitaxial graphene
• Excitonic condensation of massless fermions in graphene bilayers
• Interplay of Coulomb and electron-phonon interactions in graphene
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Van Hove Singularity and Apparent Anisotropy in the Electron-Phonon Interaction in Graphene
• Renormalization group flow of quartic perturbations in graphene: Strong coupling and large-N limits
• Weak ferromagnetism and spiral spin structures in honeycomb Hubbard planes

Cited by in corpus (85)

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• Two-body problem in graphene
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
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• Isospin of topological defects in Dirac systems
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• Magnetization Measurement of a Possible High-Temperature Superconducting State in Amorphous Carbon Doped with Sulfur
• Chiral Gap and Collective Excitations in Monolayer Graphene from Strong Coupling Expansion of Lattice Gauge Theory
• Excitonic instability of three-dimensional gapless semiconductors: Large-N theory
• Monte Carlo simulation of monolayer graphene at non-zero temperature
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• Phase diagram of the Quantum Electrodynamics of 2D and 3D Dirac semimetals
• Screening effects on the excitonic instability in graphene
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Quantum phase transitions in Dirac fermion systems
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Excitonic Gap Formation in Pumped Dirac Materials
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• Rigorous construction of ground state correlations in graphene: renormalization of the velocities and Ward Identities
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• 1/N Expansion in Correlated Graphene
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Josephson effect in Graphene SNS Junction with a Single Localized Defect
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• Dynamical gap generation in graphene with frequency dependent renormalization effects
• Stability of Multinode Dirac Semimetals against Strong Long-Range Correlations
• Finite-size version of the excitonic instability in graphene quantum dots
• Electron-electron and electron-hole pairing in graphene structures
• Chiral symmetry restoration in monolayer graphene induced by Kekule distortion
• Phonon-mediated electron pairing in graphene
• Is graphene on the edge of being a topological insulator?
• Excitonic instability of two-dimensional tilted Dirac cones
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• 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
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice
• The effect of vertex corrections on the possibility of chiral symmetry breaking, induced by long-range Coulomb repulsion in graphene
• The possibility of measuring intrinsic electronic correlations in graphene using a d-wave contact Josephson junction
• Quantum Phase Transition in Organic Massless Dirac Fermion System $\alpha$-(BEDT-TTF)${}_2$I${}_3$ under pressure
• Screening and gap generation in bilayer graphene
• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Many-body instabilities and mass generation in slow Dirac materials
• Applications of lattice QCD techniques for condensed matter systems
• Dyson-Schwinger approach to strongly coupled theories
• Higher-order renormalization of graphene many-body theory
• Coulomb interaction and semimetal-insulator transition in graphene
• Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
• Low-temperature linear transport of two-dimensional massive Dirac fermions in silicene: residual conductivity and spin/valley Hall effects
• Generalized dynamical mean-field theory of two-subalttice systems with non-local interactions and its application to study charge and spin correlations in graphene
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Magnetic, charge, and transport properties of graphene nanoflakes
• Quantum effects in graphitic materials: Colossal magnetoresistance, Andreev reflections, Little-Parks effect, ferromagnetism, and granular superconductivity
• A non-perturbative study of the interplay between electron-phonon interaction and Coulomb interaction in undoped graphene
• Effects of electron-impurity scattering on density of states in silicene: impurity bands and band-gap narrowing
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
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• Solitons and spin transport in graphene boundary
• Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field
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• Density of states in the bilayer graphene with the excitonic pairing interaction
• Influence of Fermion Velocity Renormalization on Dynamical Mass Generation in QED${}_3$