Many-body correlation effects in the spatially separated electron and hole layers in the coupled quantum wells

The many-body correlation effects in the spatially separated electron and hole layers in the coupled quantum wells are investigated. A special case of the many-component electron-hole system is considered. It is shown that if the hole mass is much greater than the electron mass, the negative correlation energy is mainly determined by the holes. The ground state of the system is found to be the 2D electron-hole liquid with the energy smaller than the exciton phase. It is shown that the system decays into the spatially separated neutral electron-hole drops if the initially created charge density in the layers is smaller than the certain critical value neq.