Phonon Scattering at Surfaces and Interfaces

  • W. Eisenmenger
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 68)


Since the discovery of the thermal boundary resistance by Kapitza /1/ in 1941, there have been extensive experimental and theoretical studies on the underlying phonon transmission, reflection and scattering processes at surfaces and interfaces. The field has been recently reviewed by A.C. Anderson /2/ and A.F.G. Wyatt /3/. The reader is referred to these authors, since the present contribution cannot give a complete account of all the relevant work done. For ideal solid-liquid or solid-solid boundary conditions the theoretical treatment according to the acoustic mismatch model by Khalatnikov /4/ and Little /5/ predicts strong phonon reflection at the solid-liquid 4He interface, but weak phonon reflection for most solid-metal interfaces. In the latter case the acoustic model was especially successful for the calculation of phonon spectra and intensity distributions emitted by metallic heaters into dielectric substrates as performed by Weis and co-workers /6/ taking also account of phonon focussing /7/. Experimental evidence for the applicability of the acoustic model to the solid-liquid 4He interface for phonon frequencies ranging from 100 to about 700 GHz was provided by the famous UHV cleaving experiments of Kinder and co-workers /8/. More recently Basso et al. /9/ demonstrated that phonons of 100 6Hz are almost ideally reflected from Si-liquid 4He interfaces after laser annealing the Si-crystal under UHV conditions.


Specular Reflection Phonon Scattering Diffuse Scattering Acoustic Model Laser Annealing 
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  1. /1/.
    P.L. Kapitza, J. Phys., USSR, 4, 181 (1941)Google Scholar
  2. /2/.
    A.C. Anderson in Nonequilibrium, Superconductivity, Phonons and Kapitza Boundaries; K.E. Gray Ed., Nato Adv.Study, Inst. Series B, Physics, Vol.65, Plenum Press, New York, 1981Google Scholar
  3. /3/.
    A.F.G. Wyatt, same source as /2/Google Scholar
  4. /4/.
    I.M. Khalatnikov, Zh. eksp. theor. Fiz. (USSR) 22:687 (1951)Google Scholar
  5. /5/.
    W.A. Little, Can. J. Phys. 37, 334 (1959)CrossRefADSGoogle Scholar
  6. /6/.
    F. Rösch, O. Weis, Z. f. Phys., B 27, 33 (1977)CrossRefADSGoogle Scholar
  7. /7/.
    B. Taylor, H.J. Maris, C. Elbaum, Phys. Rev. Lett. 23, 416 (1969)CrossRefADSGoogle Scholar
  8. /8/.
    J. Weber, W. Sandmann, W. Dietsche, H. Kinder, Phys.Rev.Lett 40, 1469 (1978)CrossRefADSGoogle Scholar
  9. /9/.
    H.C. Basso, W. Dietsche and H. Kinder, P. Leiderer in Phonon Scattering in Condensed Matter (W. Eisenmenger, K. Laßmann, S. Döttinger Ed.) Springer Series in Solid State Sciences, 51Google Scholar
  10. /10/.
    V. Narayanamurti, H.L. Störnier, M.A. Chin, A.C. Gossard, W. Wiegmann, Phys. Rev. Lett. 43, 2012 (1979)CrossRefADSGoogle Scholar
  11. /11/.
    O. Koblinger, J. Mebert, E. Dittrich, S. Döttinger, W. Eisenmenger, this volume and Verhandlungen d. DPG 5, 1481 (1986)Google Scholar
  12. /12a/.
    L.J. Challis, in Phonon Scattering in Condensed Matter, W. Eisenmenger, K. Laßmann, S. Döttinger Ed., Springer Series in Solid State Sciences, Vol 51, 2, (1984)Google Scholar
  13. /12b/.
    H.J. Trumpp, W. Eisenmenger, Z. Phys. B 28, 159 (1977)CrossRefADSGoogle Scholar
  14. /13/.
    D. Marx, W. Eisenmenger, Phys. Lett. 82 A, 291 (1981)ADSGoogle Scholar
  15. /14/.
    C.J. Guo, H.J. Maris, Phys. Rev. Lett 29, 855 (1972)CrossRefADSGoogle Scholar
  16. /15/.
    R.E. Horstmann, J. Wolter, Phys. Lett. 62A, 279 (1977)ADSGoogle Scholar
  17. /16a/.
    J.T. Folinsbee, J.P. Harrison, J. of Low Temp. Phys. 32, 469 (1978)CrossRefADSGoogle Scholar
  18. /16b/.
    D. Marx, J. Buck, K. Laßmann, W. Eisenmenger, J. Phys. C6, suppl. to No. 8, 1015 (1978)Google Scholar
  19. /17a/.
    P. Taborek, D.L. Goodstein, J. Phys. C12, 4737 (1979)ADSGoogle Scholar
  20. /17b/.
    Sol. State Comm. 38, 215 (1981)CrossRefADSGoogle Scholar
  21. /17c/.
    Phys. Rev. B22, 1550 (1980)ADSGoogle Scholar
  22. /18/.
    E. Mok, S. Burger, S. Döttinger, K. Laßmann, W. Eisenmenger, Phys. Lett. 114, 473 (1986)CrossRefGoogle Scholar
  23. /19/.
    S. Burger, K. Laßmann, W. Eisenmenger, J. of Low Temp.Phys.61,401 (1985)CrossRefADSGoogle Scholar
  24. /20a/.
    D. Marx, W. Eisenmenger, Phys. Lett. 93A, 152 (1983)ADSGoogle Scholar
  25. /20b/.
    Z. Phys. B48, 277 (1982)CrossRefADSGoogle Scholar
  26. /21a/.
    O. Koblinger, U. Heim, M. Welte, W. Eisenmenger, Phys.Rev.Lett.51, 284 (1983)CrossRefADSGoogle Scholar
  27. /21b/.
    a slightly different frequency dependence was earlier found by E.S. Sabisky, C.H. Anderson, Sol. State Comm. 17, 1095 (1975)CrossRefADSGoogle Scholar
  28. /22/.
    H. Kinder, Physica 107B, 549 (1981)Google Scholar
  29. /23a/.
    T. Nakayama, Phys. Rev. B32, 777, (1985)ADSMathSciNetGoogle Scholar
  30. /23b/.
    J. Phys. C18, 667 (1985)ADSGoogle Scholar
  31. /24/.
    R. Schneider, Diplomarbeit, Universität Stuttgart, 1986Google Scholar
  32. /25/.
    S. Burger, W. Eisenmenger, K. Laßmann, Proc.LT17, Vol. 9A, North Holland (1984)Google Scholar
  33. /26/.
    L. Köster, St. Wurdack, W. Dietsche, H. Kinder, this volume and Verhandlungen d. DPG 5, 1477 (1986)Google Scholar
  34. /27/.
    S. Burger, Dissertation, Universität Stuttgart (1986)Google Scholar
  35. /28a/.
    R.O. Pohl and B. Stritzker, Phys. Rev. B25, 3608 (1982)ADSGoogle Scholar
  36. /28b/.
    T. Klitzner and R.O. Pohl in Phonon Scattering in Condensed Matter ed. by W. Eisenmenger, K. Laßmann and S. Döttinger (Springer, Berlin,1984) p. 188; T. Klitzner and R.O. Pohl this volumeGoogle Scholar
  37. /29/.
    A. Khater, Phys. Rev. B (submitted)Google Scholar
  38. /30/.
    H. Kinder, A. de Ninno, D. Goodstein, G. Paterno, F. Scaramuzzi and S. Cunsolo,, Phys. Rev. Lett. 55, 2441 (1985) and this volumeCrossRefADSGoogle Scholar
  39. /31a/.
    N.S. Shiren J. Phys. Suppl. C6, 42, 816, (1981)Google Scholar
  40. /31b/.
    Phys. Rev. Lett. 47, 1466, (1982)CrossRefADSGoogle Scholar
  41. /32/.
    L.J. Challis, J. Phys. C7, 481, (1974)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • W. Eisenmenger
    • 1
  1. 1.Physikalisches InstitutUniversität StuttgartStuttgart 80Fed. Rep. of Germany

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