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The theory of strong coupling superconductivity in disordered transition metal alloys

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Abstract

The equations of strong coupling superconductivity in disordered transition metal alloys have been derived by means of “irreducible” Green's functions and on the basis of the alloy version of the Barišić-Labbé-Friedel model for electron-ion interaction. The configurational averaging has been performed by means of the coherent potential approximation. Making some approximations, we have obtained the formulas for the transition temperatureT c and the electron-phonon coupling constant λ. These depend on the alloy component and total densities of states, the phonon Green's function, and the parameters of the model.

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References

  1. N. N. Bogolubov,Zh. Eksp. Teor. Fiz. 34, 58, 73 (1958).

    Google Scholar 

  2. N. N. Bogolubov, V. V. Tolmachev, and D. V. Shirkov,A New Method in the Theory of Superconductivity (Consultants Bureau, New York 1959).

    Google Scholar 

  3. N. N. Bogolubov,Usp. Fiz. Nauk 67, 549 (1959).

    Google Scholar 

  4. J. R. Schrieffer,Theory of Superconductivity (Benjamin, New York, 1964).

    Google Scholar 

  5. Y. Nambu,Phys. Rev. 117, 648 (1960).

    Google Scholar 

  6. G. M. Eliashberg,Zh. Eksp. Teor. Fiz. 38, 966 (1960) [Sov. Phys. JETP 11, 696 (1960)].

    Google Scholar 

  7. D. J. Scalapino, J. R. Schrieffer, and J. W. Wilkins,Phys. Rev. 148, 263 (1966).

    Google Scholar 

  8. W. L. McMillan,Phys. Rev. 167, 331 (1968).

    Google Scholar 

  9. P. W. Anderson,J. Phys. Chem. Solids 11, 26 (1959).

    Google Scholar 

  10. A. A. Abrikov, L. P. Gorkov, and I. E. Dzyaloshinski,Quantum Field Theory in Statistical Physics (Prentice Hall, Englewood Cliffs, New Jersey, 1963).

    Google Scholar 

  11. G. Bergmann,Phys. Rep. 27C, 161 (1976).

    Google Scholar 

  12. S. V. Vonsovskij, Yu. A. Izyumov, and E. Z. Kurmaev,Superconductivity of Transition Metals (Springer-Verlag, 1982).

  13. P. B. Allen, inDynamical Properties of Solids, G. W. Horton and A. A. Maradudin, eds. (North-Holland, Amsterdam, 1980), p. 95.

    Google Scholar 

  14. H. Lustfeld,J. Low Temp. Phys. 12, 595 (1973).

    Google Scholar 

  15. K. Tankei and F. Takano,Prog. Theor. Phys. 51, 988 (1974).

    Google Scholar 

  16. G. Kerker and K. H. Bennemann,Solid State Commun. 14, 399 (1974).

    Google Scholar 

  17. A. Weinkauf and J. Zittartz,Solid State Commun. 14, 365 (1974).

    Google Scholar 

  18. A. Weinkauf and J. Zittartz,J. Low Temp. Phys. 18, 229 (1975).

    Google Scholar 

  19. O. A. Dubovsky,Fiz. Tverd. Tela (Leningrad)20, 3119 (1978).

    Google Scholar 

  20. A. Beckmann, E. Kolley, and W. Kolley,Phys. Status Solidi (B)10, K107 (1980).

    Google Scholar 

  21. E. Kolley, W. Kolley, and A. Beckmann,Phys. Status. Solidi. B103, 775 (1981).

    Google Scholar 

  22. A. Beckmann, E. Kolley, and W. Kolley,Phys. Status Solidi. B110, 557 (1982).

    Google Scholar 

  23. G. Grünewald and K. Scharnberg,Solid State Commun. 32, 955 (1979).

    Google Scholar 

  24. J. Appel,Phys. Rev. B13, 3203 (1976).

    Google Scholar 

  25. G. Kerker and K. H. Bennemann,Solid State Commun. 15, 29 (1974).

    Google Scholar 

  26. H. Lustfeld,Z. Phys. 271, 229 (1974).

    Google Scholar 

  27. K. I. Wysokiński and A. L. Kuzemsky,Commun. JINR E17-81-614, Dubna (1981).

  28. S. Barišić, J. Labbé, and J. Friedel,Phys. Rev. Lett. 25, 919 (1970).

    Google Scholar 

  29. A. L. Kuzemsky, A. Holas, and N. M. Plakida, Commun. JINR P17-82-493, Dubna (1982).

  30. S. J. Poon,Solid State Commun. 18, 1489 (1976).

    Google Scholar 

  31. C. M. Varma, E. I. Blount, P. Vashita, and W. Weber,Phys. Rev. B19, 6130 (1979).

    Google Scholar 

  32. W. Weber, inSuperconductivity in d- and f- Band Metals, H. Suhl and M. B. Maple, eds. (Academic, New York, 1980), p. 131.

    Google Scholar 

  33. N. M. Plakida,J. Phys. C 4, 1680 (1971).

    Google Scholar 

  34. A. L. Kuzemsky,Theor. Math. Phys. 36, 208 (1978).

    Google Scholar 

  35. G. M. Vujičić, A. L. Kuzemsky, and N. M. Plakida,Theor. Math. Phys. 53, 138 (1982).

    Google Scholar 

  36. N. N. Bogolubov and S. V. Tyablikov,Sov. Phys. Dok. 4, 604 (1959).

    Google Scholar 

  37. D. N. Zubarev,Sov. Phys. Usp. 3, 320 (1960).

    Google Scholar 

  38. K. Machida,Prog. Theor. Phys. 66, 41 (1981).

    Google Scholar 

  39. J. A. Blackman, D. M. Esterling, and N. F. Berk,Phys. Rev. B4, 2412 (1971).

    Google Scholar 

  40. H. Katayama and J. Kanomori,J. Phys. Soc. Jpn. 45, 1157 (1978).

    Google Scholar 

  41. B. Velicky, S. Kirkpatrick, and H. Ehrenreich,Phys. Rev. 175, 747 (1968).

    Google Scholar 

  42. P. Soven,Phys. Rev. 156, 809 (1967).

    Google Scholar 

  43. D. W. Taylor,Phys. Rev. 156, 1017 (1967).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, M. Curie-Skłodowska University, Lublin, Poland

    K. I. Wysokiński

  2. Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USRR

    A. L. Kuzemsky

Authors
  1. K. I. Wysokiński
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  2. A. L. Kuzemsky
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Wysokiński, K.I., Kuzemsky, A.L. The theory of strong coupling superconductivity in disordered transition metal alloys. J Low Temp Phys 52, 81–98 (1983). https://doi.org/10.1007/BF00681267

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  • DOI: https://doi.org/10.1007/BF00681267

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