Skip to main content Accessibility help

Umklapp Scattering and Heat Conductivity of Superlattices

  • M.V. Simkin (a1) and G.D. Mahan (a1)


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.



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

Umklapp Scattering and Heat Conductivity of Superlattices

  • M.V. Simkin (a1) and G.D. Mahan (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed