Electron-Electron Interactions in Graphene: Current Status and Perspectives

@article{Kotov2012ElectronElectronII,
  title={Electron-Electron Interactions in Graphene: Current Status and Perspectives},
  author={Valeri N. Kotov and Bruno Uchoa and Vitor M. Pereira and Francisco Guinea and Antonio H. Castro Neto},
  journal={Reviews of Modern Physics},
  year={2012},
  volume={84},
  pages={1067-1125}
}
We review the problem of electron-electron interactions in graphene. Starting from the screening of long range interactions in these systems, we discuss the existence of an emerging Dirac liquid of Lorentz invariant quasi-particles in the weak coupling regime, and strongly correlated electronic states in the strong coupling regime. We also analyze the analogy and connections between the many-body problem and the Coulomb impurity problem. The problem of the magnetic instability and Kondo effect… 
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