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Other Theories

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Quantum Theory of Conducting Matter

Since the discovery of a superconducting mercury in 1911 by Kamerlingh Onnes [1] a number of important theories have been developed. Our microscopic theory is guided by these theories. We shall briefly describe connections between these and ours.

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References

  1. H. Kamerlingh Onnes, Akad. V. Wetenschappen (Amsterdam) 14, 113 (1911).

    Google Scholar 

  2. C. J. Gorter and H. B. G. Casimir, Physica 1, 306 (1934).

    Article  ADS  MATH  Google Scholar 

  3. F. London, Nature (London) 141, 643 (1938).

    Article  ADS  Google Scholar 

  4. F. London, Superfluids, I and II (Dover, New York, 1964).

    Google Scholar 

  5. W. Meissner and R. Ochsenfeld, Naturwiss 21, 787 (1933).

    Article  ADS  Google Scholar 

  6. F. London and H. London, Proc. Roy. Soc. (London) A149, 71 (1935).

    ADS  Google Scholar 

  7. F. London and H. London, Physica 2, 341 (1935).

    Article  ADS  MATH  Google Scholar 

  8. S. Fujita and S. Godoy, I. J. Mod. Phys. B12, 99 (1998).

    ADS  Google Scholar 

  9. V. L. Ginzburg and L. D. Landau, J. Exp. Theor. Phys. (USSR) 20, 1064 (1950).

    Google Scholar 

  10. A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).

    Google Scholar 

  11. H. Träuble and U. Essmann, J. Appl. Phys. 39, 4052 (1968).

    Article  ADS  Google Scholar 

  12. H. Fröhlich, Phys. Rev. 79, 845 (1950).

    Article  ADS  MATH  Google Scholar 

  13. H. Fröhlich, Proc. Roy. Soc. London A215, 291 (1950).

    ADS  Google Scholar 

  14. C. A. Reynolds, B. Serin, W. H. Wright and N. B. Nesbitt, Phys. Rev. 78, 187 (1950).

    Article  ADS  Google Scholar 

  15. E. Maxwell, Phys. Rev. 78, 477 (1950).

    Article  ADS  Google Scholar 

  16. H. Yukawa, Proc. Phys. Math. Soc. Japan, 17, 48 (1935).

    Google Scholar 

  17. S. Fujita and D. L. Morabito, Mod. Phys. Lett. B 12, 1061 (1998).

    Article  ADS  Google Scholar 

  18. L. N. Cooper, Phys. Rev. 104, 1189 (1956).

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. B. S. Deaver and W. M. Fairbank, Phys. Rev. Lett. 7, 43 (1961).

    Article  ADS  Google Scholar 

  21. R. Doll and M. Näbauer, Phys. Rev Lett. 7, 51 (1961) (experiment).

    Article  ADS  Google Scholar 

  22. L. Onsager, Phys. Rev. Lett. 7, 50 (1961).

    Article  ADS  Google Scholar 

  23. N. Byers and C. N. Yang, Phys. Rev. Lett. 7, 46 (1961) (theory).

    Article  ADS  Google Scholar 

  24. R. E. Glover III and M. Tinkham, Phys. Rev. Lett. 108, 243 (1957).

    ADS  Google Scholar 

  25. M. A. Biondi and M. Garfunkel, Phys. Rev. 116, 853 (1959).

    Article  ADS  Google Scholar 

  26. I. Giaever, Phys. Rev. Lett. 5, 147 (1960).

    Article  ADS  Google Scholar 

  27. I. Giaever, Phys. Rev. Lett. 5, 464 (1960).

    Article  ADS  Google Scholar 

  28. I. Giaever, H. R. Hart and K. Megerle, Phys. Rev. 126, 941 (1961).

    Article  ADS  Google Scholar 

  29. S. Fujita and S. Godoy, Quantum Statistical Theory of Superconductivity (Plenum, New York, 1996), p. 178.

    Google Scholar 

  30. A. Einstein, Sits. Ber. Berl. Akad. 3 (1925).

    Google Scholar 

  31. M. R. Schafroth, S. T. Butler and J. M. Blatt, Helv. Phys. Acta, 30, 93 (1957).

    MathSciNet  Google Scholar 

  32. A. J. Leggett, in Modern Trends in Theory of Condensed Matter, A. Pekalski and J. Przystawa eds. (Springer, 1980), pp. 14–17.

    Google Scholar 

  33. P. Nozieres and S. Schmit-Rink, J. Low Temp. Phys. 59, 195 (1985).

    Article  ADS  Google Scholar 

  34. S. Fujita, T. Kimura and Y. Zheng, Found. Phys. 21, 1117 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  35. P. C. Hohenberg, Phys. Rev. 158, 383 (1967).

    Article  ADS  Google Scholar 

  36. B. D. Josephson, Phys. Lett. 1, 251 (1962).

    Article  ADS  MATH  Google Scholar 

  37. B. D. Josephson, Rev. Mod. Phys. 36, 216 (1964).

    Article  ADS  Google Scholar 

  38. P. W. Anderson and J. M. Rowell, Phys. Rev. Lett. 10, 486 (1963).

    Article  ADS  Google Scholar 

  39. R. C. Jaklevic, et al., Phys. Rev. 140, A 1628 (1965).

    Article  ADS  Google Scholar 

  40. R. P. Feynman, R. B. Leighton and M. Sands, Feynman Lectures on Physics, Vol. III (Addison-Wesley, Redwood City, CA, 1965), pp. 21–28.

    Google Scholar 

  41. R. P. Feynman, Statistical Mechanics (Addison-Wesley, Redwood City, CA, 1972).

    Google Scholar 

  42. S. Shapiro, Phys. Rev. Lett. 11, 80 (1963).

    Article  ADS  Google Scholar 

  43. J. G. Bednorz and K. A. Müller, Z. Phys. B. Cond. Matt. 64, 189 (1986).

    Article  ADS  Google Scholar 

  44. M. K. Wu, et al., Phys. Rev. Lett. 58, 908 (1987).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  46. P. B. Allen and R. C Dynes, Phys. Rev. 12, 905 (1975).

    Article  ADS  Google Scholar 

  47. J. W. Halley, ed., Theory of High-Temperature Superconductivity (Addison-Wesley, Redwood City, CA, 1988).

    Google Scholar 

  48. S. Lundquist, et al., eds., Towards the Theoretical Understanding of High-T Superconductivity, Vol. 14 (World Scientific, Singapore, 1988).

    Google Scholar 

  49. D. M. Ginsberg, ed., Physical Properties of High-Temperature Superconductors (World Scientific, Singapore, 1989)-(series).

    Google Scholar 

  50. S. A. Wolf and D. M. Ginsberg, eds., Physical Properties of High-Temperature Superconductors (World Scientific, Singapore, 1989)-(series).

    Google Scholar 

  51. W. Z. Kresin, Novel Superconductivity (Plenum, New York, 1989).

    Google Scholar 

  52. K. Kitazawa and T. Ishiguro, eds. Advances in Superconductivity (Springer, Tokyo, 1989).

    Google Scholar 

  53. A. S. Alexandrov and N. F. Mott, Int. J. Mod. Phys. B 8, 2075 (1994).

    Article  ADS  Google Scholar 

  54. A. S. Alexandrov, Phys. Rev. B 38, 925 (1988).

    Article  ADS  Google Scholar 

  55. N. F. Mott, Phys. Rev. Lett. 71, 1075 (1993).

    Article  ADS  Google Scholar 

  56. R. Friedberg and T. D. Lee, Phys. Rev. B 40, 1745 (1986).

    Google Scholar 

  57. P. W. Anderson, Science, 235, 1196 (1987).

    Article  ADS  Google Scholar 

  58. V. J. Emery, Phys. Rev. Lett. 58, 2794 (1987).

    Article  ADS  Google Scholar 

  59. H. Kamimura, S. Matsuno, Y. Suva and H. Ushio, Phys. Rev. Lett. 77, 723 (1996).

    Article  ADS  Google Scholar 

  60. A. Sano, M. Eto and H. Kamimura, Int. J. Mod. Phys. B 11, 3733 (1997).

    Article  ADS  Google Scholar 

  61. J. E. Hirsch, Phys. Rev. B 31, 4403 (1985).

    Article  ADS  Google Scholar 

  62. J. E. Hirsch, Phys. Rev. Lett. 25, 1317 (1985).

    Article  ADS  Google Scholar 

  63. F. C. Zhang and T. M. Rice, Phys. Rev. B, 37, 3759 (1989).

    Article  ADS  Google Scholar 

  64. L. Onsager, Phys. Rev. 65, 117 (1944).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  65. R. Willett, J. P. Eisenstein, H. L. Störmer, D. C. Tsui, A. C. Gossard and J. H. English, Phys. Rev. Lett. 59, 1776 (1987).

    Article  ADS  Google Scholar 

  66. H. L. Störmer, D. C. Tsui and A. C. Gonssard, Phys. Rev. Lett. 48, 1559 (1982).

    Article  ADS  Google Scholar 

  67. K. von Klitzing, G. Dorda and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).

    Article  ADS  Google Scholar 

  68. R. E. Prange and S. M. Girvin, eds., Quantum Hall Effect (Springer-Verlag, Berlin, 1988).

    Google Scholar 

  69. R. B. Langhlin, Phys. Rev. Lett. 50, 1395 (1983).

    Article  ADS  Google Scholar 

  70. S. C. Zhang, T. H. Hansson and S. Kivelson, Phys. Rev. Lett. 62, 82 (1989).

    Article  ADS  Google Scholar 

  71. R. B. Langhlin, Phys. Rev. Lett. 60, 2677 (1989).

    Article  ADS  Google Scholar 

  72. S. Kivelson, D. H. Lee and S.-C. Zhang, Sci. Am. 274, 86 (1996).

    Article  Google Scholar 

  73. S. M. Girvin and A. H. MacDonald, Phys. Rev. Lett. 58, 1252 (1987).

    Article  ADS  Google Scholar 

  74. N. Read, Phys. Rev. Lett. 62, 86 (1989).

    Article  ADS  Google Scholar 

  75. R. Shankar and G. Murthy, Phys. Rev. Lett. 79, 4437 (1997).

    Article  ADS  Google Scholar 

  76. J. K. Jain, Phys. Rev. Lett. 63, 199 (1989).

    Article  ADS  Google Scholar 

  77. J. K. Jain, Phys. Rev. B 40, 8079 (1989).

    Article  ADS  Google Scholar 

  78. J. K. Jain, Phys. Rev. B 41, 7653 (1990).

    Article  ADS  Google Scholar 

  79. S. Fujita, Y. Tamura and A. Suzuki, Mod. Phys. Lett. B 15, 817 (2001).

    Article  ADS  Google Scholar 

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Correspondence to Shigeji Fujita .

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Fujita, S., Ito, K., Godoy, S. (2009). Other Theories. In: Quantum Theory of Conducting Matter. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88211-6_17

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  • DOI: https://doi.org/10.1007/978-0-387-88211-6_17

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