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Theory of phonon conductivity of semiconductor superlattices

  • Gyaneshwar P. Srivastava (a1) and Steven P. Hepplestone (a2)

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.

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[1] Hepplestone, S. P. and Srivastava, G. P., Phys. Rev. B 82, 144303 (2010).
[2] Lee, S. M., Cahill, D. G. and Vekatasubramanian, R., Appl. Phys. Lett. 70, 2957 (1997).
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[4] Srivastava, G. P., The Physics of Phonons (Adam Hilger, Bristol, 1990).
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[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).
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Keywords

Theory of phonon conductivity of semiconductor superlattices

  • Gyaneshwar P. Srivastava (a1) and Steven P. Hepplestone (a2)

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