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Optical Properties of a Quantum Well of A1−x Bx Alloy Semiconductor in the Coherent Potential Approximation

Published online by Cambridge University Press:  17 March 2011

Yuzo Shinozuka
Affiliation:
Faculty of Systems Engineering, Wakayama Univ., Sakaedani 930 Wakayama 640-8510, JAPAN
Hirotsugu Kida
Affiliation:
Faculty of Systems Engineering, Wakayama Univ., Sakaedani 930 Wakayama 640-8510, JAPAN
Masanori Watarikawa
Affiliation:
Faculty of Engineering, Yamaguchi Univ., Tokiwadai 2-16-1, Ube 755-8611, JAPAN
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Abstract

We have theoretically studied optical properties of a quantum well (QW) in which the well region is constructed from a binary alloy semiconductor A1−xBx in the coherent potential approximation (CPA). A tight binding model is used for a single particle (electron, hole, Frenkel exciton) in the well composed by a rectangular array of NxxNyxNz sites. The effect of the diagonal randomness is reduced to the coherent potential σ(E), which is assumed to be the same for all sites, and is selfconsistently determined with the average Green's function. For a slab (∞, ∞, Nz) and wire (∞, Ny, Nz), the density of states (E) is composed of Nz (or NyxNz) subbands, each shows the two (one)-dimensional van-Hove singularity. When x (or 1−x) is small, a B (A) impurity-band always appears at the lower (higher) energy side of the lowest (highest) host-band. The change of (E) and the absorption spectrum by changing the well-width and the dimensionality is discussed in detail.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

1. Soven, P., Phys. Rev. 156, 809 (1967).Google Scholar
2. Taylor, D. W., Phys. Rev. 156, 1017 (1967).Google Scholar
3. Onodera, Y. and Toyozawa, Y., J. Phys. Soc. Jpn. 24, 341 (1968).Google Scholar
4. Velicky, B., Kirkpatrick, S. and Ehrenreich, H., Phys. Rev. 175, 747 (1968).Google Scholar
5. Shiba, H., Prog. Theor. Phys. 46, 77 (1971).Google Scholar
6. Shinozuka, Y. and Kida, H., in preparation.Google Scholar