  It has been shown that the presence of a metal plate near a double quantum
well with spatially separated electron and hole layers may lead to a drastic
reconstruction of the system state with the formation of stable charged
complexes of several electrons bound to a spatially separated hole. Complexes
of both the Fermi and the Bose statistics may coexist in the ground state and
their relative densities may be changed with the change of the electron and
hole densities. The stability of the charged complexes may be increased by an
external magnetic field perpendicular to the layers plane.
