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

  • Denis Klöpfer
  • Alessandro De Martino
  • Davron U. Matrasulov
  • Reinhold Egger
Regular Article

Abstract

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.

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Denis Klöpfer
    • 1
  • Alessandro De Martino
    • 2
  • Davron U. Matrasulov
    • 3
  • Reinhold Egger
    • 1
  1. 1.Institut für Theoretische Physik, Heinrich-Heine-UniversitätDüsseldorfGermany
  2. 2.Department of MathematicsCity University LondonLondonUK
  3. 3.Turin Polytechnic University in TashkentTashkentUzbekistan

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