Effect of Coulomb interactions on the physical observables of graphene

Abstract

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address questions of the possible opening of a low-energy gap, and the magnitude of the graphene fine structure constant. We emphasize the role of Fermi velocity as the only free parameter determining the transport and electronic properties of the graphene system and revise its renormalization by Coulomb interactions in the light of recent experimental evidence.

Proceedings of the Nobel Symposium on graphene 2010, to appear as a special issue in Physica Scripta

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Cited by in corpus (21)

• Broken Symmetries, Zero-Energy Modes, and Quantum Transport in Disordered Graphene: From Supermetallic to Insulating Regimes
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Anomalous growth of thermoelectric power in gapped graphene
• Dynamics of electric transport in interacting Weyl semimetals
• Chiral anomaly and strength of the electron-electron interaction in graphene
• Spin g-factor due to electronic interactions in graphene
• Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature
• Renormalization of the band gap in 2D materials through the competition between electromagnetic and four-fermion interactions
• Two-dimensional Yukawa interaction driven by a nonlocal-Proca quantum electrodynamics
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Four-Fermion Interactions
• The influence of a weak magnetic field in the Renormalization-Group functions of (2+1)-dimensional Dirac systems
• Pairing transition in a double layer with interlayer Coulomb repulsion
• Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane
• Influence of the four-fermion interactions in (2+1)D massive electrons system
• The Virial Theorem in Graphene and other Dirac Materials
• Effects of nonlocal plasmons in gapped graphene micro-ribbon array and 2DEG on near-field electromagnetic response in the deep-subwavelength regime
• Two-dimensional materials in the presence of nonplanar interfaces
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature
• Non-perturbative corrections to the quasiparticle velocity in graphene
• The two-gap BCS model in the large-$N$ approximation within a field-theory approach