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

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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.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Denis Klöpfer & Reinhold Egger

  2. Department of Mathematics, City University London, London, EC1V 0HB, UK

    Alessandro De Martino

  3. Turin Polytechnic University in Tashkent, 17 Niyazov Street, 100095, Tashkent, Uzbekistan

    Davron U. Matrasulov

Authors
  1. Denis Klöpfer
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  2. Alessandro De Martino
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  3. Davron U. Matrasulov
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  4. Reinhold Egger
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Corresponding author

Correspondence to Reinhold Egger.

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Klöpfer, D., De Martino, A., Matrasulov, D. et al. Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities. Eur. Phys. J. B 87, 187 (2014). https://doi.org/10.1140/epjb/e2014-50414-8

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