Coupling of spatially separated carriers in crossed electric and magnetic fields and a possibility of a metastable superconducting state in bilayer systems

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It is shown that in bilayer conducting structures in crossed electric and magnetic fields of a special configuration (the fields should have opposite signs in the adjacent layers) the dependence of the energy of a pair of equally charged carriers on the momentum of the pair has a local minimum. This minimum corresponds to a bound state of the pair. The local minimum is separated from the absolute minimum by a large energy barrier. That provides the stability of the bound state with respect to different scattering processes. If the number of the pairs is macroscopic, a phase transition into a metastable superconducting state may take place.