Binding energy of the barbell exciton

The exciton binding energy in asymmetric coupled double quantum wells is calculated. As the system is electrically tuned from type I to type II, the exciton binding energy decreases from that of a two-dimensional exciton to the binding energy of a spatially separated electron-hole pair, i.e., the barbell exciton.$---- We compare our theoretical results with a recent experiment and find good agreement.