- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Solution of the Kondo problem

N. Andrei, K. Furuya, and J. H. Lowenstein

N. Andrei

  • Department of Physics and Astronomy, Rutgers University, New Brunswick, NJ 08903

K. Furuya and J. H. Lowenstein

  • Department of Physics, New York University, New York, NY 10003

PDF

Rev. Mod. Phys. 55, 331 – Published 1 April, 1983

DOI: https://doi.org/10.1103/RevModPhys.55.331

Abstract

This review covers in great detail the Bethe-ansatz approach to the solution of various versions of the Kondo problem.

View figure in article

References (86)

  1. Anderson, P. W., 1970, J. Phys. C 3, 2346
  2. Anderson, P. W., G. Yuval, and D. R. Hamann, 1970, Phys. Rev. B 1, 4464
  3. Andrei, N., 1980, Phys. Rev. Lett. 45, 379
  4. Andrei, N., 1981, Phys. Lett. A 87, 299
  5. Andrei, N., and J. H. Lowenstein, 1979, Phys. Rev. Lett. 43, 1693
  6. Andrei, N., and J. H. Lowenstein, 1980a, Phys. Lett. B 90, 106
  7. Andrei, N., and J. H. Lowenstein, 1980b, Phys. Lett. B 91, 401
  8. Andrei, N., and J. H. Lowenstein, 1981, Phys. Rev. Lett. 46, 356
  9. Armygtage, J., 1973, Ph.D. thesis (University of Cambridge)
  10. Bahder, T., 1981, Ph.D. thesis (Rutgers University)
  11. Belavin, A. A., 1979, Phys. Lett. B 87, 117
  12. Berg, B., and P. Weisz, 1978, Nucl. Phys. 146, 205
  13. Bergknoff, H., and H. B. Thacker, 1979, Phys. Rev. Lett. 42, 135
  14. Bergknoff, H., and H. B. Thacker, 1979, Phys. Rev. D 19, 3666
  15. Bethe, H., 1931, Z. Phys. 71, 205
  16. Coqblin, B., and J. R. Schrieffer, 1969, Phys. Rev. 185, 847
  17. Desgranges, H. U., and K. D. Schotte, 1982, FUB preprint
  18. Destri, C., and J. H. Lowenstein, 1982, Nucl. Phys. B 205, 369
  19. Doniach, S., and I. Sondheimer, 1974, Green's Functions for Solid State Physicists (Benjamin, Reading)
  20. Faddeev, L. D., and L. A. Takhtajan, 1981, Phys. Lett. A 85, 375
  21. Faddeev, L. D., E. K. Sklyanin, and L. A. Takhtadjan, 1979, Teor. Mat. Fiz. 40, 199
  22. Fateev, V. A., and P. B. Wiegmann 1981a, Phys. Lett. A 81, 179
  23. Fateev, V. A., and P. B. Wiegmann, 1981b, Phys. Rev. Lett. 46, 1595
  24. Filyov, V. M., A. M. Tsvelick, and P. B. Wiegmann, 1981, Phys. Lett. A 81, 175
  25. Fowler, M., and A. Zawadowski, 1971, Solid State Commun. 9, 471
  26. Fung, M. K., 1981, J. Math. Phys. 22, 2017
  27. Furuya, K., and J. H. Lowenstein, 1982, Phys. Rev. B 25, 5935
  28. Gaudin, M., 1967, Phys. Lett. A 24, 55
  29. Gaudin, M., 1971, Phys. Rev. Lett. 26, 1301
  30. Gaudin, M., 1972, "Modeles Exacts en Mechanique Statistique" CEA-N-1559(1)
  31. Gross, D. J., and A. Neveu, 1974, Phys. Rev. D 10, 3235
  32. Gross, D. J., and F. Wilczek, 1973, Phys. Rev. Lett. 30, 1343
  33. Griffith, R. B., 1964, Phys. Rev. 133, 768A
  34. Grüner, G., and A. Zawadowski, 1974, Rep. Prog. Phys. 37, 1497
  35. Hamann, D. R., 1967, Phys. Rev. 158, 570
  36. Hamermesh, M., 1962, Group Theory (Addison-Wesley, Reading)
  37. Hewson, A. C., and J. W. Rasul, 1982, Phys. Lett. A 92, 95
  38. Hewson, A. C., J. W. Rasul, and D. M. Newns, 1982, Imperial College preprint
  39. Ho, J., 1981, "Notes on the Bethe-Yang Ansatz," ITP report
  40. Japaridze, G. I., and A. A. Nersesyan, 1981, Phys. Lett. A 85, 23
  41. Johnson, J. D., 1973, Phys. Rev. A 9, 1743
  42. Johnson, J. D., and B. M. McCoy, Phys. Rev. A 6, 1613
  43. Katsura, S., 1965, Ann. Phys. 31, 325
  44. Kondo, J., 1964, Prog. Theor. Phys. 32, 37
  45. Kondo, J., 1969, Solid State Phys. 23, 183
  46. Korepin, V. E., 1979, Teor. Mat. Fiz. 41, 169 [Theor. Math. Phys. 41, 953 (1979)]
  47. Krishna-murthy, H. R., J. W. Wilkins, and K. G. Wilson, 1980, Phys. Rev. B 21, 1003
  48. Kulish, P. P., and N. Y. Reshetikhim, 1981, Zh. Eksper. Theor. Fiz. 80, 214
  49. Kurak, V., and J. A. Swieca, 1979, Phys. Lett. B 82, 289
  50. Lai, C. K., 1971, Phys. Rev. Lett. 26, 1472
  51. Landau, L., and E. M. Lifshitz, 1977a, Quantum Mechanics (Pergamon, Oxford)
  52. Landau, L., and E. M. Lifshitz, 1977b, Statistical Physics (Pergamon, Oxford)
  53. Lowenstein, J. H., 1981, Surveys High Energy Phys. 2, 207
  54. Lowenstein, J. H., 1982, NYU preprint
  55. Lippmann, B. A., and J. Schwinger, 1950, Phys. Rev. 79, 469
  56. Mattis, D., 1967, Phys. Rev. Lett. 19, 1478
  57. Melnikov, B. I., 1982, JETP Lett. 35, 414
  58. Morse, P. M., and H. Feshbach, 1953, Methods of Theoretical Physics (McGraw-Hill, New York)
  59. Nagaoka, Y., 1965, Phys. Rev. 138, 1112A
  60. Nozières, P., 1975, "The Kondo problem: fancy mathematical techniques versus simple physical ideas," in Proceedings of the 14th International Conference on Low Temperature Physics, edited by M. Krusius and M. Vuorio (North-Holland, Amsterdam), p. 339
  61. Oliveira, L. N., and J. W. Wilkins, 1981, Phys. Rev. Lett. 47, 1553
  62. Ovchinnikov, 1967, Zh. Eksp. Teor. Fiz. Pis'ma Red. 5, 48
  63. Politzer, D. H., 1973, Phys. Rev. Lett. 30, 1346
  64. Rajan, T. V., J. H. Lowenstein, and N. Andrei, 1982, Phys. Rev. Lett. 49, 497
  65. Rasul, J. W., 1982, in Proceedings of the International Conference on Valence Fluctuations, Zurich, Switzerland, edited by P. Wachter and H. Boppart (North-Holland, Amsterdam)
  66. Schulz, H., 1981, Hanover preprint
  67. Suhl, H., 1965, Phys. Rev. B 8, A515
  68. Sutherland, B., 1967, Phys. Rev. Lett. 20, 98
  69. Takahashi, M., 1971, Prog. Theor. Phys. 46, 401
  70. Takahashi, M., and M. Suzuki, Prog. Theor. Phys. 48, 2187
  71. Thacker, H., 1981, Rev. Mod. Phys. 53, 253
  72. Tsvelick, A. M., and P. B. Wiegmann, 1981, Landau Institute preprint
  73. Wiegman, P. B., 1980, Zh. Eksp. Teor. Fiz. Pis'ma Red. 31, 392 (1980, JETP Lett. 31, 364)
  74. Wiegman, P. B., 1981, J. Phys. C 14, 1463
  75. Wilson, K. G., 1975, Rev. Mod. Phys. 47, 773
  76. Witten, E., 1978, Nucl. Phys. B 145, 110
  77. Woynarovich, F., 1982, J. Phys. A 15, 2985
  78. Yang, C. N., 1967, Phys. Rev. Lett. 19, 1312
  79. Yang, C. N., and C. P. Yang, 1966, Phys. Rev. 150, 321 ibid.150, 327 ibid.151, 258
  80. Yang, C. N., and C. P. Yang, 1969, J. Math. Phys. 10, 1115
  81. Yosida, K., and A. Okiji, 1964, Prog. Theor. Phys. 34, 505
  82. Yosida, K., and A. Yoshimori, 1973, "The ground state of the s−d model," in Magnetism V, edited by G. Rado and H. Suhl (Academic, New York), p. 253
  83. Yuval, G., and P. W. Anderson, 1970, Phys. Rev. B 1, 1522
  84. Zamolochikov, A. B., and A. B. Zamolochikov, Ann. Phys. (N.Y.) 120, 253
  85. Zawadowski, A., 1981, private communication
  86. Zinn-Justin, J., and E. Brezin, 1966, C. R. Acad. Sci. 263, 670

Outline

Information

Rev. Mod. Phys. 55, 331– Published 1 April, 1983

    © 1983 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation