Many-body effects in graphene beyond the Dirac model with Coulomb interaction
arXiv:1506.00026 · doi:10.1103/PhysRevB.92.245105
Abstract
This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and arbitrary interaction potential between electrons, which is considered as a perturbation. One-loop corrections to the electron propagator and to the interaction potential at nonzero temperature and chemical potential are calculated. One-loop formulas for the energy spectrum of electrons in graphene, for the renormalized Fermi velocity and also for the dielectric permittivity are derived.
11 pages, 11 figures
References in corpus (16)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Andreev reflection and Klein tunneling in graphene
- Quantum critical transport in clean graphene
- Is graphene in vacuum an insulator?
- Interaction phenomena in graphene seen through quantum capacitance
- Coulomb interaction, ripples, and the minimal conductivity of graphene
- Lattice field theory simulations of graphene
- Effect of electron-electron interactions on the conductivity of clean graphene
- Interaction corrections to the polarization function of graphene
- Polarization Charge Distribution in Gapped Graphene
- Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
- Why does graphene behave as a weakly interacting system?
- Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
- Numerical study of the conductivity of graphene monolayer within the effective field theory approach
- Lattice gauge theory model for graphene
Cited by in corpus (7)
- Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
- Many-body effects on graphene conductivity: Quantum Monte Carlo calculations
- Impact of Many-Body Effects on Landau Levels in Graphene
- Quantum Monte Carlo study of static potential in graphene
- Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
- Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains
- Intrinsic and extrinsic effects on intraband optical conductivity of hot carriers in photoexcited graphene