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Theory of phonon conductivity of semiconductor superlattices

Published online by Cambridge University Press:  22 August 2011

Gyaneshwar P. Srivastava
Affiliation:
School of Physics, University of Exeter, Stocker Road, Exeter, EX4 4QL, UK
Steven P. Hepplestone
Affiliation:
Department of Physics, University of Surrey, Guildford GU2 7XH, UK
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Abstract

We present a single-mode relaxation-time theory of phonon conductivity of semisonductor superlattices with nanoscale periodicities. Analytic expressions have been obtained for phonon-interface scattering and phonon-phonon scattering taking into consideration the effects of interfaces and the presence of two materials in superlattices. Numerical calculations have been performed by using phonon eigensolutions obtained from an enhanced adiabatic bond charge model and by carrying out Brillouin zone integration using the special q-points scheme. The experimental measured conductivity results for Si(19)/Ge(5) and Si(72)/Ge(30) superlattices have been successfully explained.

Type
Research Article
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

[1] Hepplestone, S. P. and Srivastava, G. P., Phys. Rev. B 82, 144303 (2010).Google Scholar
[2] Lee, S. M., Cahill, D. G. and Vekatasubramanian, R., Appl. Phys. Lett. 70, 2957 (1997).Google Scholar
[3] Capinski, W. S., Maris, H. J., Ruf, T., Cardona, M., Ploog, K., and Katzer, D. S., Phys. Rev. B 59, 8105 (1999).Google Scholar
[4] Srivastava, G. P., The Physics of Phonons (Adam Hilger, Bristol, 1990).Google Scholar
[5] Mo, Y.-W., Savage, D. E., Swartzentruber, B. S., and Lagally, M. G., Phys. Rev. Lett. 65, 1020 (1990).Google Scholar
[6] Hepplestone, S. P. and Srivastava, G. P., Phys. Rev. Lett. 101, 105502 (2008); S. P. Hepplestone and G. P. Srivastava, J. Appl. Phys. 107, 043503(2010).Google Scholar
[7] Monkhorst, H. J. and Pack, J.D., Phys. Rev. B 13, 5189 (1976).Google Scholar