Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
De Martino, A.
TK | Condensed Matter - Mesoscale and Nanoscale Physics
arxiv: Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
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.