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Photoluminescence studies on Al and Ga interdiffusion across quantum well interfaces
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Image of FIG. 1.
FIG. 1.

Potential profile for the interdiffusion of an quantum well structure at (a) , (b) , (c) , and (d) .

Image of FIG. 2.
FIG. 2.

X-ray diffraction measurements for superlattice sample 1 (a) as-grown and postannealed at 848 K for (b) 1250 s and (c) 5000 s.

Image of FIG. 3.
FIG. 3.

Photoluminescence spectra at 77 K for (a) sample 1 and (b) sample 3 consisting of AlSb barriers and GaSb wells, before and after annealing at 908 K for 125 s.

Image of FIG. 4.
FIG. 4.

Expected PL energies as a function of , calculated as shown in Eq. (8) using confinement energies from model 1. Expected PL energies were evaluated considering heavy holes and light holes for the calculation of the valence-band confinement energies. Also, the expected quantum well band gap, , is plotted as a dotted line.

Image of FIG. 5.
FIG. 5.

Energy shifts in photoluminescence spectra after annealing at 948 K (◆), 908 K (●), 873 K (∎), and 848 K (▴) at selected time periods.

Image of FIG. 6.
FIG. 6.

Calculated confinement energies for electrons , light holes , and heavy holes as a function of determined using model 1.

Image of FIG. 7.
FIG. 7.

Experimental and calculated energy shifts as a function of . The calculated energy shifts were determined by subtracting the expected PL energy for an unannealed sample (at , determined using the Kronig–Penney model) from the expected PL energy calculated using model 1.

Image of FIG. 8.
FIG. 8.

Arrhenius plot of for each calculated at selected temperatures for samples 1 (white squares) and 2 (black triangles).

Image of FIG. 9.
FIG. 9.

Contour plot of the variance as a function of and for sample 3 at 908 K. The contour includes a confidence coefficient of . The confidence level indicates that with repeated experiments, of the cases will give and values with variances within this defined contour region. Contours up to represent a confidence level of 90%. Similarly, contours up to include 95%.

Image of FIG. 10.
FIG. 10.

Local and global minima of the variance for values of at different . Contours are omitted for clarity. Calculations were done at 908 K (white markers) and 948 K (black markers) for samples 1 and 2 (triangles), 3 (circles), and 4 (squares). Global minima are encircled.


Generic image for table
Table I.

Description of samples used for this study.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Photoluminescence studies on Al and Ga interdiffusion across (Al,Ga)Sb∕GaSb quantum well interfaces