Abstract
Using a nonlinear Schrödinger equation including short-range two-body attraction andthree-body repulsion, we investigate the spatial distribution of indirect excitons insemiconductor coupled quantum wells. The results obtained can explain the experimentalphenomenon that the annular exciton cloud first contracts then expands when the numberof confined excitons is increased in the impurity potential well, as observed by Lai et al (2004 Science 303 503). In particular, the model reconciles the patterns of excitonrings reported by Butov et al (2002 Nature 418 751). At higher densities, themodel predicts much richer patterns, which could be tested by future experiments.
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