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Theory of the Superconducting Properties of Quasi-One-Dimensional Materials

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Electronic Properties of Inorganic Quasi-One-Dimensional Compounds

Part of the book series: Physics and Chemistry of Materials with Low-Dimensional Structures ((PCMB,volume 1))

Abstract

In recent years, there has been a continuing interest in the superconducting properties of materials that are nearly one-dimensional in their electronic properties [1–22]. A few materials have been found which exhibit strong anisotropy in their electron conduction, with one axis being a much better conduction direction than the others in the normal state. These materials have been of interest due to the strong anisotropics in the superconducting properties they exhibit, and the hope that materials of sufficiently strong superconducting anisotropy might exhibit novel behavior has been growing, as better crystals of highly anisotropic superconductors have been made.

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References

  1. R. L. Greene, G. B. Street, and L. J. Suter, Phys. Rev. Lett. 34, 577 (1975).

    Article  CAS  Google Scholar 

  2. L. J. Azevedo, W. G. Clark, G. Deutscher, R. L. Greene, G. B. Street and L. J. Suter, Solid State Commun. 19, 197(1976).

    Article  CAS  Google Scholar 

  3. P. Monceau, J. Peyrard, J. Richard, and P. Molinie, Phys. Rev. Lett. 39, 161 (1977).

    Article  CAS  Google Scholar 

  4. T. Sambongi, M. Yamamoto, K. Tsutsumi, Y. Shiozaki, K. Yamaya, and Y. Abe, J. Phys. Soc. Japan 42, 1421 (1977).

    Article  CAS  Google Scholar 

  5. M. Yamamoto, J. Phys. Soc. Japan 45, 431 (1978).

    Article  CAS  Google Scholar 

  6. R. H. Dee, D. H. Dollard, B. G. Turrell, and J. F. Carolan, Solid State Commun. 24, 469 (1977).

    Article  CAS  Google Scholar 

  7. R. H. Dee, A. J. Berlinsky, J. F. Carolan, E. Klein, N. J. Stone, and B. G. Tunell, Solid State Commun. 22, 303 (1977).

    Article  CAS  Google Scholar 

  8. R. H. Dee, J. F. Carolan, B. G. Tunell, and R. L. Greene, Phys. Rev. 522, 174 (1980).

    Google Scholar 

  9. R. A. Buhrman, C. M. Bastuscheck, J. C. Scott, and J. D. Kulick, in Inhomogeneous Superconductors — 1979, edited by D. V. Gubser, T. L. Francavilla, S. A. Wolf, and J. R. Leibowitz, (New York, American Institute of Physics, 1980), p. 207.

    Google Scholar 

  10. W. W. Fuller, P. M. Chaikin, and N. P. Ong, Solid State Commun. 30, 689 (1979).

    Article  CAS  Google Scholar 

  11. P. Haen, G. Waysand, G. Boch, A. Waintal, P. Monceau, N. P. Ong, and A. M. Portis, J. de Phys. (Paris) 37, 179(1976).

    Google Scholar 

  12. P. Haen, J. M. Mignot, P. Monceau, and M. Núñez Regueiro, J. de Phys. (Paris) 39, C6–703 (1978).

    Google Scholar 

  13. P. Haen, F. Lapierre, P. Monceau, M. Núñez Regueiro, and M. Richard, Solid State Commun. 26, 725 (1978).

    Article  CAS  Google Scholar 

  14. J. F. Kwak, R. L. Greene, and W. W. Fuller, Phys. Rev. 520, 2658 (1979).

    Google Scholar 

  15. R. L. Civiak, C. Elbaum, L. F. Nichols, H. I. Kao, and M. M. Labes, Phys. Rev. B14, 5413 (1976).

    Article  CAS  Google Scholar 

  16. R. L. Greene and G. B. Street, in Chemistry and Physics of One-Dimensional Metals, edited by H. J. Keller (Plenum, New York) (1977).

    Google Scholar 

  17. G. B. Street and R. L. Greene, IBM J. Res. Dev. 21, 99 (1977).

    Article  Google Scholar 

  18. R. H. Dee, J. F. Carolan, B. G. Turrell, R. L. Greene, and G. B. Street, J. de Phys. (Paris) 39, C6–444 (1978).

    Google Scholar 

  19. M. Potel, R. Chevrel, M. Sergent, J. C. Armici, M. Decroux, and O. Fischer, J. Solid State Chem. 35, 286(1980).

    Article  CAS  Google Scholar 

  20. J. C. Armici, M. Decroux, O. Fischer, M. Potel, R. Chevrel, and M. Sergent, Solid State Commun. 33, 607(1980).

    Article  CAS  Google Scholar 

  21. Y. Tajima and K. Yamaya, J. Phys. Soc. Jpn. 53, 495 (1984).

    Article  CAS  Google Scholar 

  22. K. Kawabata and M. Ido, Solid State Commun. 44, 1539 (1982).

    Article  CAS  Google Scholar 

  23. A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957); A. L. Fetter and P. C. Hohenberg, in Superconductivity, edited by R. D. Parks (Marcel Dekker, New York, 1969), p. 817.

    Google Scholar 

  24. D. Saint-James, G. Sarma, and E. J. Thomas, Type-II Superconductivity (Pergamon Press, New York, 1969);

    Google Scholar 

  25. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966);

    Google Scholar 

  26. A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, New Jersey, 1963).

    Google Scholar 

  27. R. A. Klemm, A. Luther, and M. R. Beasley, Phys. Rev. 512, 877 (1975);

    Google Scholar 

  28. L. N. Bulaevskii, Zh. Eksp. Teor. Fiz. 65, 1278 (1975).

    Google Scholar 

  29. D. E. Prober, R. E. Schwall, and M. R. Beasley, Phys. Rev. B 21, 2717 (1980);

    Article  CAS  Google Scholar 

  30. R. C. Morris and R. V. Coleman, Phys. Rev. B 7, 991 (1973).

    Article  CAS  Google Scholar 

  31. S. T. Ruggiero, T. W. Barbee Jr., and M. R. Beasley, Phys. Rev. Lett. 45, 1299 (1980).

    Article  CAS  Google Scholar 

  32. This has been discussed by many authors. For a review, see V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by J. Devreese, R. Evard, and V. van Doren (Plenum, New York, 1979).

    Google Scholar 

  33. J. Bardeen, Rev. Mod. Phys. 34, 667 (1962).

    Article  Google Scholar 

  34. M. W. Denhoff and S. Gygax, Phys. Rev. B 25, 4479 (1982).

    Article  CAS  Google Scholar 

  35. E. Z. da Silva and B. L. Gyorffy, Phys. Rev. B 20, 147 (1979).

    Article  Google Scholar 

  36. R. A. Klemm and H. Gutfreund, Phys. Rev. B 14, 1086 (1976).

    Article  CAS  Google Scholar 

  37. H. Horowitz, H. Gutfreund, and M. Weger, Phys. Rev. B9, 1246 (1974); ibid, 12, 3174 (1975).

    Article  Google Scholar 

  38. R. Sooryakumar and M. V. Klein, Phys. Rev. Lett. 45, 45 (1980).

    Article  Google Scholar 

  39. P. B. Littlewood and C. M. Varma, Phys. Rev. Lett. 47, 811 (1981);

    Article  CAS  Google Scholar 

  40. P. B. Littlewood and C. M. Varma, Phys. Rev. B 26, 4883 (1982).

    Article  CAS  Google Scholar 

  41. D. E. Moncton, J. D. Axe, and F. J. DiSalvo, Phys. Rev. B 16, 801 (1977);

    Article  CAS  Google Scholar 

  42. M. Barmatz, L. R. Testardi, and F. J. DiSalvo, Phys. Rev. B 12, 4367 (1975).

    Article  CAS  Google Scholar 

  43. P. Monceau, N. P. Ong, A. M. Portis, A. Meerschaut, and J. Rouxel, Phys. Rev. Lett. 37, 602 (1976).

    Article  CAS  Google Scholar 

  44. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957).

    Article  CAS  Google Scholar 

  45. R. A. Klemm and J. R. Clem, Phys. Rev. B 21, 1868 (1980).

    Article  CAS  Google Scholar 

  46. D. R. Tilley, Proc. Phys. Soc. London 85, 1977 (1965).

    Google Scholar 

  47. B. S. Chandrasekhar, Appl. Phys. Lett. 1, 7 (1962);

    Article  CAS  Google Scholar 

  48. A. M. Clogston, Phys. Rev. Lett. 9, 266 (1962);

    Article  Google Scholar 

  49. T. P. Orlando and M. R. Beasley, Phys. Rev. Lett. 46, 1598 (1981).

    Article  CAS  Google Scholar 

  50. A. A. Abrikosov and L. P. Gor’kov, Zh. Eks. i Teor. Fiz. 39, 1781 (1960).

    CAS  Google Scholar 

  51. A. A. Abrikosov and L. P. Gor’kov, (Soviet Phys. JETP 12, 1243 (1961)).

    Google Scholar 

  52. C.-R. Hu, Phys. Rev. B 6, 1756 (1972).

    Article  Google Scholar 

  53. Note that there is an error in sign in Equation (58) of ref. 39. This implies that the dependence of H c1 upon the angle H makes with the normal to the z axis is as shown in Figure 11, not as in Figure 5 of ref. 39. This error also has implications for the dependence of the lower critical field upon the external field angle for a material of filamentary shape. The correct figure is shown in Figure 12. The author is grateful to H. Schwenk for pointing out this error.

    Google Scholar 

  54. J. A. Osborn, Phys, Rev. 67, 351 (1945);

    Article  Google Scholar 

  55. R. A. Klemm, J. Low Temp. Phys. 39, 589 (1980); see ref. 44.

    Article  CAS  Google Scholar 

  56. H. Schwenk, K. Andres, and F. Wudl, (to be published).

    Google Scholar 

  57. V. G. Kogan, Phys. Rev. B 24, 1572 (1981).

    Article  Google Scholar 

  58. V. G. Kogan and J. R. Clem, Phys. Rev. B 24, 2497 (1981).

    Article  CAS  Google Scholar 

  59. W. Lawrence and S. Doniach, in Proceedings of the 12th International Conference on Low Temperature Physics, edited by Eizo Kanda (Academic, Kyoto, 1971) p. 361.

    Google Scholar 

  60. L. I. Turkevich and R. A. Klemm, Phys. Rev. B 19, 2520 (1979).

    Article  CAS  Google Scholar 

  61. Note that we have defined the azimuthal angle in the conventional fashion, consistent with Equation (2.2), but differing from ref. 50 by 𝛟 → π/2 – 𝛟.

    Google Scholar 

  62. E. T. Whittaker and G. H. Watson, A Course of Modern Analysis (Cambridge University, Cambridge, 1946) Sec. 19.12; W. Magnus and W. Winkler, Hill’s Equation (Interscience, New York, 1966).

    Google Scholar 

  63. N. W. McLachlan, Theory and Application of Mathieu Functions (Dover, New York, 1964).

    Google Scholar 

  64. P. Manneville, J. de Phys. (Paris) 36, 701 (1975).

    Article  Google Scholar 

  65. Note that the spin-orbit scattering rate differs by a factor of 2/3 from that in Klemm, Luther, and Beasley [25] This result is correct for two-dimensional scattering.

    Google Scholar 

  66. S. Alexander, Phys. Rev. 527, 1541 (1983).

    Google Scholar 

  67. M. Tinkham, Phys. Rev. 129, 2413 (1963).

    Article  Google Scholar 

  68. P. G. de Gennes, C. R. Acad. Sci. 5292, 279 (1981); ibid. 5292, 9 (1981).

    Google Scholar 

  69. G. Deutscher, I. Grave, and S. Alexander, Phys. Rev. Lett. 48, 1497 (1982);

    Article  CAS  Google Scholar 

  70. G. Deutscher, O. Entin-Wohlman, S. Fishman, and Y. Shapira, Phys. Rev. 521, 5041 (1980);

    Google Scholar 

  71. O. Entin-Wohlman, A. Kapitulnik, and Y. Shapira, Phys. Rev. 524, 6464 (1981).

    Google Scholar 

  72. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1983), and Fractals: Form, Chance and Dimension (Freeman, San Francisco, 1977).

    Google Scholar 

  73. Y. Gefen, B. B. Mandelbrot, and A. Aharony, Phys. Rev. Lett. 45, 855 (1980);

    Article  Google Scholar 

  74. Y. Gefen, A. Aharony, B. B. Mandelbrot, and S. Kirkpatrick, Phys. Rev. Lett. 47, 1771 (1981).

    Article  Google Scholar 

  75. A. S. Skal and B. I. Shklovskii, Fiz. Tekh. Poluprovodn. 8, 1586 (1974) (Sov. Phys. — Semicond 8, 1029 (1975));

    Google Scholar 

  76. P. G. de Gennes, J. de Phys. (Paris) Lett. 37, L1 (1976).

    Article  Google Scholar 

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Authors and Affiliations

  1. Corporate Research Science Laboratories, Exxon Research and Engineering Company, Route 22 East, Annandale, NJ, 08801, USA

    Richard A. Klemm

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  1. Richard A. Klemm
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Editors and Affiliations

  1. Centre de Recherches sur les Très Basses Températures, CNRS, 38000, Grenoble, France

    Pierre Monceau

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Klemm, R.A. (1985). Theory of the Superconducting Properties of Quasi-One-Dimensional Materials. In: Monceau, P. (eds) Electronic Properties of Inorganic Quasi-One-Dimensional Compounds. Physics and Chemistry of Materials with Low-Dimensional Structures, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6923-1_5

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  • DOI: https://doi.org/10.1007/978-94-015-6923-1_5

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