https://doi.org/10.1140/epjb/e2014-50414-8
Regular Article
Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
1 Institut für Theoretische Physik, Heinrich-Heine-Universität, 40225 Düsseldorf, Germany
2 Department of Mathematics, City University London, London EC1V 0HB, UK
3 Turin Polytechnic University in Tashkent, 17 Niyazov Street, 100095 Tashkent, Uzbekistan
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e-mail: egger@thphy.uni-duesseldorf.de
Received: 19 June 2014
Published online: 11 August 2014
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.
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014
