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 (theta) for SQD growth, according to the measured critical q for test QD nucleation (theta(c)). The proper ratio theta/theta(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 theta/theta(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 theta/theta(c): only one 7-nm-height SQD in 25 mu m(2). On a 2-inch (1 inch = 2.54 cm) semi-insulating wafer, by using theta/theta(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 theta/theta(c).