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We study the supercritical instability in gapped graphene with two chargedimpurities separated by distance R using the two-dimensional Dirac equation forelectron quasiparticles. Attention is paid to a situation when charges ofimpurities are subcritical, whereas their total charge exceeds a critical one.The critical distance R_{cr} in the system of two charged centers is defined asthat at which the electron bound state with the lowest energy reaches theboundary of the lower continuum. A variational calculation of the criticaldistance R_{cr} separating the supercritical (R<R_{cr}) and subcritical(R>R_{cr}) regimes is carried out. It is shown that the critical distanceR_{cr} increases as the quasiparticle gap decreases. The energy and width of aquasistationary state as functions of the distance between two impurities arederived in the quasiclassical approximation.

Supercritical instability in graphene with two charged impurities