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Longitudinal ultrasonic attenuation coefficient for high-T K Kondo superconductors

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Abstract

The ultrasonic attenuation coefficients for longitudinal waves in bulk superconductors containing high-T K Kondo impurities and in proximity effect sandwiches containing the Kondo impurities in the normal layer are obtained using the Matsuura, Ichinose, and Nagaoka approach to treat the scattering by the Kondo impurities. The attenuation coefficients are obtained for temperatures close toT c by suitably renormalizing the propagators and vertices appearing in the leading graphs in the expansion of the density-density correlation function appearing in the definition of the longitudinal attenuation coefficient for the case ql≫1. Closed-form expressions for the attenuation coefficient for the bulk superconductor case are obtained.

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References

  1. G. Riblet and K. Winzer,Solid State Commun. 9, 1663 (1971).

    Google Scholar 

  2. E. Müller-Hartmann and J. Zittartz,Z. Physik 254, 23 (1970).

    Google Scholar 

  3. K. Winzer,Z. Physik 265, 139 (1973).

    Google Scholar 

  4. T. Matsuura, S. Ichinose, and Y. Nagaoka,Progr. Theor. Phys. 57, 713 (1977).

    Google Scholar 

  5. R. Dreyer, T. Krug, and K. Winzer,J. Low Temp. Phys. 48, 111 (1982).

    Google Scholar 

  6. E. Müller-Hartmann, B. Schuh, and J. Zittartz,Solid State Commun. 19, 438 (1976).

    Google Scholar 

  7. A. B. Kaiser,Phys. Rev. B 22, 2323 (1980).

    Google Scholar 

  8. A. A. Abrikosov and L. P. Gorkov,Sov. Phys. JETP 12, 1243 (1961).

    Google Scholar 

  9. L. P. Kadanoff and I. I. Falko,Phys. Rev. 136, A1170 (1964).

    Google Scholar 

  10. V. Ambegaokar and A. Griffin,Phys. Rev. 137, A1151 (1965).

    Google Scholar 

  11. K. Machida,Progr. Theor. Phys. 54, 1251 (1975).

    Google Scholar 

  12. B. Leon and A. D. S. Nagi,J. Phys. F 4, L13 (1974).

  13. H. Shiba,Progr. Theor. Phys. 50, 50 (1973).

    Google Scholar 

  14. K. Matsui and Y. Masuda,J. Phys. Soc. Japan 46, 1444 (1979).

    Google Scholar 

  15. I. M. Tang,J. Low Temp. Phys. 57, 189 (1984).

    Google Scholar 

  16. K. Yosida and K. Yamada,Progr. Theor. Phys. 53, 1286 (1975).

    Google Scholar 

  17. S. Ichinose,Progr. Theor. Phys. 58, 404 (1977).

    Google Scholar 

  18. T. Tsuneto,Phys. Rev. 121, 402 (1961).

    Google Scholar 

  19. K. Maki, inSuperconductivity, Vol. II, R. D. Parks, ed. (Dekker, New York, 1969), Chapter 18.

    Google Scholar 

  20. F. B. McLean and A. Houghton,Ann. Phys. (N. Y.)48, 3 (1968).

    Google Scholar 

  21. I. M. Tang,J. Low Temp. Phys. 60, 9 (1985).

    Google Scholar 

  22. W. L. McMillan,Phys. Rev. 175, 53 (1968).

    Google Scholar 

  23. S. Mohabir and A. D. S. Nagi,J. Low Temp. Phys. 36, 307 (1979).

    Google Scholar 

  24. N. Mori,J. Low Temp. Phys. 39, 275 (1980).

    Google Scholar 

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Tang, I.M. Longitudinal ultrasonic attenuation coefficient for high-T K Kondo superconductors. J Low Temp Phys 59, 517–528 (1985). https://doi.org/10.1007/BF00682447

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  • DOI: https://doi.org/10.1007/BF00682447

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