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

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.

9 pages, 3 figures

References in corpus (9)

• The electronic properties of graphene
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• The Coulomb impurity problem in graphene
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• Molecular collapse in graphene: sublattice symmetry effect