Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities |
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| Authors: | Denis?Kl?pfer,Alessandro?De Martino,Davron U.?Matrasulov,Reinhold?Egger mailto:egger@thphy.uni-duesseldorf.de" title=" egger@thphy.uni-duesseldorf.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | 1.Institut für Theoretische Physik, Heinrich-Heine-Universit?t,Düsseldorf,Germany;2.Department of Mathematics,City University London,London,UK;3.Turin Polytechnic University in Tashkent,Tashkent,Uzbekistan |
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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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