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Phys. Rev. B 48, 14667–14670 (1993)

Phonons in parabolic quantum wells

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F. Bechstedt, H. Grille, and R. Haupt
Friedrich-Schiller-Universität, Max-Wien-Platz 1, D-07743 Jena, Germany

Received 27 May 1993; published in the issue dated 15 November 1993

Phonons in parabolic-quantum-well structures fabricated with semiconductor alloys are studied. We calculate frequencies, displacement patterns, and densities of states for lattice vibrations in a (GaAs)N1(Ga1-xAlxAs)N2(001) superlattice where the GaAs layers are replaced by a mixed crystal Ga1-xsAlxsAs with Al fraction xs varying quadratically with atomic layer s. The influence of disorder, composition, and the two-mode behavior of optical phonons are investigated within a random-element-isodisplacement model, generalized to layered structures with arbitrary composition profiles.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.48.14667
DOI:
10.1103/PhysRevB.48.14667
PACS:
63.20.Dj, 63.50.+x, 68.35.Ja, 78.30.Fs