Dipoles in graphene have infinitely many bound states

2019-11-07T11:00:31Z (GMT) by Jean-Claude Cuenin Heinz Siedentop
© 2014 AIP Publishing LLC. We show that in graphene, modelled by the two-dimensional Dirac operator, charge distributions with non-vanishing dipole moment have infinitely many bound states. The corresponding eigenvalues accumulate at the edges of the gap faster than any power.