▎ 摘 要
We study the problem of Coulomb field-induced charging of the ground state in a system of two-dimensional (2D) massive Dirac particles-gapped graphene. As in its 3D QED counterpart, the critical Coulomb coupling is renormalized to higher values compared to the massless case. We find that in gapped graphene, a different supercritical regime is possible, where the screening charge is comparable to the impurity charge; thus, leading to suppression of the Coulomb field at nanometer scales. We corroborate this with a numerical solution of the tight-binding problem on the honeycomb lattice.