Proper In deposition amount for on-demand epitaxy of InAs/GaAs single quantum dots

The test-QD in-situ annealing method could surmount the critical nucleation condition of InAs/GaAs single quantum dots (SQDs) to raise the growth repeatability. Here, through many growth tests on rotating substrates, we develop a proper In deposition amount (θ) for SQD growth, according to the measured critical θ for test QD nucleation (θ_c). The proper ratio θ/θ_c, with a large tolerance of the variation of the real substrate temperature (T_sub), is 0.964-0.971 at the edge and >0.989 but <0.996 in the center of a 1/4-piece semi-insulating wafer, and around 0.9709 but <0.9714 in the center of a 1/4-piece N⁺ wafer as shown in the evolution of QD size and density as θ/θ_c varies. Bright SQDs with spectral lines at 905 nm-935 nm nucleate at the edge and correlate with individual 7 nm-8 nm-height QDs in atomic force microscopy, among dense 1 nm-5 nm-height small QDs with a strong spectral profile around 860 nm-880 nm. The higher T_sub in the center forms diluter, taller and uniform QDs, and very dilute SQDs for a proper θ/θ_c: only one 7-nm-hight SQD in 25 μm². On a 2-inch (1 inch=2.54 cm) semi-insulating wafer, by using θ/θ_c = 0.961, SQDs nucleate in a circle in 22% of the whole area. More SQDs will form in the broad high-T_sub region in the center by using a proper θ/θ_c.