The metastable bound state of a pair of two-dimensional spatially separated electrons in antiparallel magnetic fields

We propose a new mechanism for binding of two equally charged carriers in a double-layer system subjected to a magnetic field of a special form. A field configuration for which the magnetic fields in adjacent layers are equal in magnitude and opposite in direction is considered. In such a field an additional integral of motion-the momentum of the pair P-arises. For the case where in one layer the carrier is in the zero (n = 0) Landau level while in the other layer the carrier is in the first (n = 1) Landau level, the dependence of the energy of the pair on its momentum E(P) is found. This dependence turns out to be a nonmonotonic one: a local maximum and a local minimum appear, indicating the emergence of a metastable bound state of two carriers with the same sign of electrical charge.