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Umklapp Scattering and Heat Conductivity of Superlattices

Published online by Cambridge University Press:  01 February 2011

M.V. Simkin
Affiliation:
Department of Physics and Astronomy, Unhersity of Tennessee, Knoxville, 37996–1200, and Solid State Division, Oak Ridge National Laboratory, P.O. Box 2008, OEidge, TN, 37831
G.D. Mahan
Affiliation:
Department of Physics and Astronomy, Unhersity of Tennessee, Knoxville, 37996–1200, and Solid State Division, Oak Ridge National Laboratory, P.O. Box 2008, OEidge, TN, 37831
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Abstract

The mean free path of phonons in superlattices is estimated. It is shown to be strongly dependent on the superlattice period due to the Umklapp scattering in subbands. It first falls with increasing the superlattice period until it becomes comparable with the latter after what it rises back to the bulk value. Similar behavior is expected of heat conductivity, which is proportional to the mean free path.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

[1] Yao, T., Appl. Phys. Lett. 51, 1798 (1987)Google Scholar
[2] Hyldgaard, P. and Mahan, G.D., Proc. Int. Conf. on Thermal Conductivity, Nashville, (November, 1995)Google Scholar
[3] Capinski, W.S. and Maris, H.J., Physica B 219–220, 699 (1996)Google Scholar
[4] Lee, S.M., Canili, D.G., Ventakasiibramanian, R., Appl. Phys. Lett. 70, 2957 (1997)Google Scholar
[5] Venkatasubramanian, R. and Colpitts, T., in Thermoelectric Materials-New Directions and Approaches, ed. Tritt, T.M., Kanatzidis, M.G., Lyons, H.B. Jr, and Mahan, G.D. (Materials Research Society, 1997) Vol. 478, pg. 73;Google Scholar
Ventakasiibramanian, R., Phys. Rev. B 61, 3091 (2000)Google Scholar
[6] Chen, G. and Neagu, M., Appl. Phys. Lett. 71, 2761 (1997)Google Scholar
[7] Hyldgaard, P. and Mahan, G.D., Phys. Rev. B 36, 10754 (1997)Google Scholar
[8] Tamiira, S., Tanaka, Y., and Maris, H.J., Phys. Rev. B 60, 2627 (1999)Google Scholar
[9] Chen, G., Phys. Rev. B 57, 14958 (1998)Google Scholar
[10] Walkauskas, S. G., Broido, D. A., Kempa, K., and Reinecke, T. L., J. Appl. Phys 85, 2579 (1999)Google Scholar
[11] Simkin, M. V. and Mahan, G. D., Phys. Rev. Lett. 84, 927 (2000).Google Scholar
[12] Ziman, J. Electrons and Phonons (Cambridge University Press, 1960)Google Scholar