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In this paper we present a study of an exciton system where electrons andholes are confined in double quantum well structures. The dominatinginteraction between excitons in such systems is a dipole - dipole repulsion. Weshow that the tail of this interaction leads to a strong correlation betweenexcitons and substantially affects the behavior of the system. Making use ofqualitative arguments and estimates we develop a picture of the exciton -exciton correlations in the whole region of temperature and concentration whereexcitons exist. It appears that at low concentration degeneracy of the excitonsis accompanied with strong multi-particle correlation so that the system cannotbe considered as a gas. At high concentration the repulsion suppresses thequantum degeneracy down to temperatures that could be much lower than in a Bosegas with contact interaction. We calculate the blue shift of the excitonluminescence line which is a sensitive tool to observe the exciton - excitoncorrelations.

Exciton correlations in coupled quantum wells and their luminescence blue shift