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We study the Dirac equation for quasiparticles in gapped graphene with twooppositely charged impurities by using the technique of linear combination ofatomic orbitals and variational Galerkin--Kantorovich method. We show that forsufficiently large charges of impurities the wave function of the occupiedelectron bound state of the highest energy changes its localization from thenegatively charged impurity to the positively charged one as the distancebetween the impurities increases. This migration of the electron wave functionof supercritical electric dipole is a generalization of the familiar phenomenonof the atomic collapse of single charged impurity to the case whereelectron-hole pairs are spontaneously created from vacuum in bound states withcharge impurities thus partially screening them.

Supercritical electric dipole and migration of electron wave function in graphene