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Acoustic matching of superconducting films to substrates

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Abstract

Acoustic mismatch theory is used to estimate phonon transmission coefficients for various superconductor/substrate interfaces. It is shown that the conventionally employed substrates offer the largest acoustic mismatch to many of the commonly studied superconductors, thereby leading to unnecessarily large phonon-trapping and other nonequilibrium effects. Most available experimental results are shown to be in reasonable agreement with the theoretical estimates.

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References

  1. A. Rothwarf and B. N. Taylor, Phys. Rev. Lett. 19, 17 (1967).

    Google Scholar 

  2. K. E. Gray, A. R. Long, and C. J. Adkins, Phil. Mag. 20, 273 (1969).

    Google Scholar 

  3. G. A. Sai-Halasz, C. C. Chi, A. Denenstein, and D. N. Langenberg, Phys. Rev. Lett. 33, 215 (1974).

    Google Scholar 

  4. W. Eisenmenger, K. Lassmann, H. J. Trumpp, and R. Krauss, Appl. Phys. 11, 1307 (1976).

    Google Scholar 

  5. D. N. Langenberg unpublished.

  6. C. C. Chi and D. N. Langenberg, Bull. Am. Phys. Soc. 21, 403 (1976).

    Google Scholar 

  7. Ting-Wah Wong and D. N. Langenberg, Bull. Am. Phys. Soc. 22, 374 (1977); Ting-Wah Wong, Ph.D. thesis, University of Pennsylvania (1977), unpublished.

    Google Scholar 

  8. J. R. Kirtley, D. S. Kent, D. N. Langenberg, J. J. Chang, C. C. Yang, and S. B. Kaplan, to be published.

  9. W. A. Little, Can. J. Phys. 37, 334 (1959).

    Google Scholar 

  10. R. E. Peterson and A. C. Anderson, J. Low Temp. Phys. 11, 639 (1973).

    Google Scholar 

  11. O. Weis, Z. Angew. Phys. 5, 325 (1968).

    Google Scholar 

  12. J. D. N. Cheeke, H. Ettinger, and B. Hebral, Can. J. Phys. 54, 1749 (1976).

    Google Scholar 

  13. W. A. Little, private communication.

  14. S. A. Buckner and D. N. Langenberg, J. Low Temp. Phys. 22, 569 (1976).

    Google Scholar 

  15. G. Simmons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook, 2nd ed. (MIT Press, Cambridge, Mass., 1971).

    Google Scholar 

  16. D. Gerlich, Phys. Rev. 135, A1331 (1964).

    Google Scholar 

  17. H. J. McSkimin and P. Andreatch Jr., J. Appl. Phys. 35, 2161 (1964).

    Google Scholar 

  18. E. B. Shand, Glass Engineering Handbook, (McGraw-Hill, New York, 1959).

    Google Scholar 

  19. C. Kittel, Introduction to Solid State Physics, 2nd ed. (Wiley, New York, 1956).

    Google Scholar 

  20. M. J. P. Musgrave, Crystal Acoustics (Holden-Day, San Francisco, 1970).

    Google Scholar 

  21. G. M. T. Foley and D. N. Langenberg, Phys. Rev. B 15, 4830 (1977).

    Google Scholar 

  22. I. Schuller and K. E. Gray, Phys. Rev. B 12, 2629 (1975); 14, 4214 (1976).

    Google Scholar 

  23. F. Jaworski, W. H. Parker, and S. B. Kaplan, Phys. Rev. B 14, 4209 (1976).

    Google Scholar 

  24. D. A. Neeper and J. R. Dillinger, Phys. Rev. 135, A1028 (1964).

    Google Scholar 

  25. V. E. Holt, J. Appl. Phys. 37, 798 (1966).

    Google Scholar 

  26. P. Herth and O. Weis, Z. Angew. Phys. 29, 101 (1970).

    Google Scholar 

  27. J. D. N. Cheeke, B. Hebral, and C. Martinon, J. Phys. 33, C4–57 (1972).

    Google Scholar 

  28. J. D. N. Cheeke, B. Hebral, and C. Martinon, J. Phys. 34, 257 (1973).

    Google Scholar 

  29. K. E. Gray, J. Phys. F: Metal Phys. 1, 290 (1971).

    Google Scholar 

  30. C. C. Chi, Ph.D. thesis, University of Pennsylvania (1976), unpublished.

  31. W. Eisenmenger, K. Lassmann, H. Trumpp, and R. Krauss, Appl. Phys. 11, 163 (1977).

    Google Scholar 

  32. S. B. Kaplan, C. C. Chi, D. N. Langenberg, J. J. Chang, S. Jafarey, and D. J. Scalapino, Phys. Rev. B 14, 4854 (1976).

    Google Scholar 

  33. J. I. Gittleman and S. Bozowski, Phys. Rev. 128, 646 (1962).

    Google Scholar 

  34. H. J. Trumpp, K. Lassmann, and W. Eisenmenger, Phys. Lett. 41A, 431 (1972).

    Google Scholar 

  35. W. Eisenmenger, in Tunnelling Phenomena in Solids, E. Burstein and S. Lundquist, eds. (Plenum Press, New York, 1969), p. 371.

    Google Scholar 

  36. A. Rothwarf and B. N. Taylor, Phys. Rev. Lett. 19, 27 (1967).

    Google Scholar 

  37. G. Gladstone, M. A. Jensen, and J. R. Schrieffer, in Superconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Vol. II.

    Google Scholar 

  38. K. E. Gray, A. R. Long, and C. J. Adkins, Phil. Mag. 20, 273 (1969).

    Google Scholar 

  39. A. R. Long, J. Phys. F: Metal Phys. 3, 2041 (1973).

    Google Scholar 

  40. L. N. Smith and J. M. Mochel, Phys. Rev. Lett. 35, 1597 (1976).

    Google Scholar 

  41. L. N. Smith, Private communication.

  42. A. R. Long, J. Phys. F: Metal Phys. 3, 2023 (1973).

    Google Scholar 

  43. H. Kinder, J. Phys. 33, C4–21 (1972).

    Google Scholar 

  44. K. E. Gray, Private communication.

  45. B. Robinson and J. M. Rowell, Private communication.

  46. Y. Nakagawa and A. D. B. Woods, Phys. Rev. Lett. 11, (1963).

  47. J. P. Maneval, private communication.

  48. K. Zoeppritz, Nachrichten der Koniglichen Gesellshaft der Wissenschaften zu Gottengen, Mathematisch-physicalish Klasse, 66 (Berlin, 1919).

  49. L. N. Brekhovskish, Waves in Layered Media (Academic Press, New York, 1960).

    Google Scholar 

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Work supported by a National Research Council Postdoctoral Fellowship and Office of Naval Research Contract No. N00014-78-F-0040.

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Kaplan, S.B. Acoustic matching of superconducting films to substrates. J Low Temp Phys 37, 343–365 (1979). https://doi.org/10.1007/BF00119193

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  • DOI: https://doi.org/10.1007/BF00119193

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