Distribution of oscillator strengths for recombination of localised excitons in two dimensions

We investigate the distribution of oscillator strengths for the recombination of excitons in a two-dimensional sample, trapped in local minima of the confinement potential: the results are derived from a statistical topographic model of the potential. The predicted distribution of oscillator strengths is very different from the Porter-Thomas distribution which usually characterises disordered systems, and is notable for the fact that small oscillator strengths are extremely rare.