2134/10260695.v1 Jean-Claude Cuenin Jean-Claude Cuenin Heinz Siedentop Heinz Siedentop Dipoles in graphene have infinitely many bound states Loughborough University 2019 Science & Technology Physical Sciences Physics, Mathematical Physics OPERATOR Mathematical Physics Mathematical Sciences 2019-11-07 11:00:31 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Dipoles_in_graphene_have_infinitely_many_bound_states/10260695 © 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.