▎ 摘 要
We address atomic collapse and its magnetic modulation in gapped graphene. Based on the exact solution of the Dirac equation, we obtain the complete supercritical Coulomb impurity spectra and accurate wave functions. The unique degeneracy, electron probability densities, pseudospin of supercritical states, and mass and core-size effects are investigated in the supercritical region. When a magnetic field is applied, atomic collapse can be effectively restrained. Both supercritical and subcritical impurity states exhibit obviously different behaviors in two valleys in the magnetic field. The Landau levels also exhibit different changes in supercritical and subcritical impurity potentials. This study is helpful in understanding relativistic quantum phenomena in graphene and related systems.