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Superconductivity in amorphous Bi and Ga

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The electron-phonon α2(ω)F(ω) has been measured by Chenet al. in films of amorphous Bi and Ga. This was accomplished by inversion of low-temperature quasiparticle tunneling data. From α2(ω)F(ω), the phonon renormalization of the electronic effective mass was calculated and was found to be considerably greater than it is in the case of the well-known strong-coupling superconductors Pb and Hg. These amorphous materials should, therefore, be ideal for a study of strong-coupling effects, i.e., deviations from BCS laws. In this paper, we present results of a theoretical study of select thermodynamic properties of these materials based on numerical solutions, at finite temperatures, of the Eliashberg equations.

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  1. 1.

    W. L. McMillan and J. M. Rowell, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), p. 561.

  2. 2.

    J. R. Schrieffer, D. J. Scalapino, and J. W. Wilkins,Phys. Rev. Letters 10, 336 (1963).

  3. 3.

    W. L. McMillan and J. M. Rowell,Phys. Rev. Letters 14, 180 (1965).

  4. 4.

    D. J. Scalapino, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), p. 449.

  5. 5.

    T. T. Chen, J. T. Chen, J. D. Leslie, and H. J. T. Smith,Phys. Rev. Letters 22, 526 (1969).

  6. 6.

    G. M. Eliashberg,Zh. Eksperim. i Teor. Fiz. 43, 1005 (1962) [English transl.,Soviet Phys.—JETP 16, 780 (1963)].

  7. 7.

    P. Vashishta and J. P. Carbotte,Solid State Commun. 8, 1661 (1970).

  8. 8.

    V. Ambegaokar, inMany-Body Physics, C. DeWitt and R. Balian, eds. (Gordon and Breach, New York, 1968), p. 299.

  9. 9.

    J. D. Leslie, J. T. Chen, and T. T. Chen,Can. J. Phys. 48, 2783 (1970).

  10. 10.

    R. C. Dynes, J. P. Carbotte, and E. J. Woll,Solid State Commun. 6, 101 (1968).

  11. 11.

    R. C. Dynes, J. P. Carbotte, D. W. Taylor, and C. K. Campbell,Phys. Rev. 178, 713 (1969).

  12. 12.

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

  13. 13.

    T. A. Fulton and D. E. McCumber,Phys. Rev. 175, 585 (1968).

  14. 14.

    J. Bardeen and M. Stephen,Phys. Rev. 136, A1485 (1969).

  15. 15.

    C. S. Lim, J. D. Leslie, H. J. T. Smith, P. Vashishta, and J. P. Carbotte,Phys. Rev. B2, 1651 (1970).

  16. 16.

    P. Vashishta and J. P. Carbotte,Solid State Commun. 11, 539 (1972).

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Work performed under the auspices of the U.S. Atomic Energy Commission, and supported in part by the National Research Council of Canada.

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Vashishta, P., Carbotte, J.P. Superconductivity in amorphous Bi and Ga. J Low Temp Phys 10, 551–571 (1973).

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  • Thermodynamic Property
  • Magnetic Material
  • Effective Mass
  • Amorphous Material
  • Finite Temperature