Effect of electron-electron interaction on the Fermi surface topology of doped graphene

Abstract

The electron-electron interactions effects on the shape of the Fermi surface of doped graphene are investigated. The actual discrete nature of the lattice is fully taken into account. A $\pi$-band tight-binding model, with nearest-neighbor hopping integrals, is considered. We calculate the self-energy corrections at zero temperature. Long and short range Coulomb interactions are included. The exchange self-energy corrections for graphene preserve the trigonal warping of the Fermi surface topology, although rounding the triangular shape. The band velocity is renormalized to higher value. Corrections induced by a local Coulomb interaction, calculated by second order perturbation theory, do deform anisotropically the Fermi surface shape. Results are compared to experimental observations and to other theoretical results.

arXiv comment10 pages, 6 figures

References in corpus (29)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Substrate-induced band gap opening in epitaxial graphene
• Dynamical polarization of graphene at finite doping
• First direct observation of Dirac fermions in graphite
• Interactions and phase transitions on graphene's honeycomb lattice
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Is Graphene a Fermi Liquid?
• Unconventional quasiparticle lifetime in graphite
• Chirality and Correlations in Graphene
• Electron-phonon coupling and electron self-energy in electron-doped graphene: calculation of angular resolved photoemission spectra
• Graphene Physics in Graphite
• Effect of electron-electron interactions on the conductivity of clean graphene
• Inelastic carrier lifetime in graphene
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Quasiparticle scattering and local density of states in graphite
• Anomalous Quasiparticle Lifetime in Graphite: Band Structure Effects
• Electronic structure of heavily-doped graphene: the role of foreign atom states
• Coexistence of sharp quasiparticle dispersions and disorder features in graphite
• Renormalization group analysis of electrons near a Van Hove singularity.
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
• Study of interacting electrons in graphene under the renormalized-ring-diagram approximation
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Self-energy corrections to anisotropic Fermi surfaces
• Transverse transport in graphite
• Deformation of anisotropic Fermi surfaces due to electron-electron interactions

Cited by in corpus (19)

• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Excitonic condensation of massless fermions in graphene bilayers
• Microscopic Polarization in Bilayer Graphene
• Octagraphene as a Versatile Carbon Atomic Sheet for Novel Nanotubes, Unconventional Fullerenes and Hydrogen Storage
• Optical conductivity of disordered graphene beyond the Dirac cone approximation
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Pomeranchuk instability in doped graphene
• Rigorous construction of ground state correlations in graphene: renormalization of the velocities and Ward Identities
• Anisotropic RKKY interaction in spin polarized graphene
• Superlattice of resonators on monolayer graphene created by intercalated gold nanoclusters
• Graphene, Dirac equation and analogue gravity
• Analytical expressions for the polarizability of the honeycomb lattice
• New quantum-mechanical phenomenon in a model of electron-electron interaction in graphene
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Anomalous Valley Magnetic Moment of Graphene
• Spin polarization dependence of quasiparticle properties in graphene
• Self-consistent model of edge doping in graphene
• Unusual spin-triplet superconductivity in monolayer graphene
• Graphite intercalation compound KC${}_8$ revisited: a key to graphene