▎ 摘 要
In this paper, we numerically study bound electron states induced by long-range Coulomb impurities in gapped graphene and quasibound states in the supercritical region based on the lattice model. We present a detailed comparison between our numerical calculations and the prediction of quantum electrodynamics 2+1(QED) continuum model. Furthermore, the supercritical charge has been determined by both the lattice model and the continuum model. The numerical results show that the behavior of quasibound state is consistent with the prediction using Fano's formalism.