Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities

Article, Preprint English OPEN
Klöpfer, D. ; De Martino, A. ; Matrasulov, D. ; Egger, R. (2014)
  • Related identifiers: doi: 10.1140/epjb/e2014-50414-8
  • Subject: TK | Condensed Matter - Mesoscale and Nanoscale Physics
    arxiv: Condensed Matter::Mesoscopic Systems and Quantum Hall Effect

We study the physics of Dirac fermions in a gapped graphene monolayer containing two Coulomb impurities. For the case of equal impurity charges, we discuss the ground-state energy using the linear combination of atomic orbitals (LCAO) approach. For opposite charges of the Coulomb centers, an electric dipole potential results at large distances. We provide a nonperturbative analysis of the corresponding low-energy scattering problem.
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