“…We observe that at temperatures below the minimum in threshold, the emission spectra broaden and analysis of the emission data at 20 K shows ground states in different size dots are populated with equal probability, increasing with drive current, indicative of random behaviour. 18 We have compared this data with rate equation calculations of gain spectra for inhomogeneous distributions of ground and excited states, interacting via a thermal phonon bath with each other and with the wetting layer, and in which population of dots by electrons and holes is correlated, 12,14,22 controlled by separation of the dot electron state from the wetting layer ($0.28 eV for the ground state). Measured modal absorption spectra provided input values for the gain coefficient and spontaneous recombination lifetime (via the Einstein relations), which were temperature independent, and for the wetting layer band edge energy; energies and distributions of dot transitions were determined by Gaussian fits.…”