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Theory of spin glasses: A brief review

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Festkörperprobleme 17

Part of the book series: Advances in Solid State Physics ((ASSP,volume 17))

Abstract

The basic characteristics of spin glass materials and the experimental facts about their physical properties are outlined. Then recent theoretical approaches are introduced: the Edwards-Anderson (EA) model as treated by various mean-field approximations (MFA), renormalization group etc., exactly soluble models, the concept of “superparamagnetic clusters” and cluster-interaction models. Monte Carlo computer simulations are reviewed which show that while the MFA are inadequate the generalized (EA)-model agrees with experiment. The approapriate choice of an order parameter for the spin glass transition is discussed.

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References

  1. For reviews of experimental work, see V. Canella and J. A. Mydosh, AIP Conf. Proc. 18, 651 (1974); J. A. Mydosh, In Proc. Second Int. Symp. on Amorphous Magnetism, Troy 1976 (R. A. Levy and R. Hasegawa, eds.) Plenum Press, N. Y. 1977.

    ADS  Google Scholar 

  2. K. L. Ngai and T. Reinecke, Phys. Rev. Lett. 38, 74 (1977).

    Article  ADS  Google Scholar 

  3. S. Geschwind, private Communication.

    Google Scholar 

  4. M. A. Ruderman and C. Kittel, Phys. Rev. 96, 99 (1954); T. Kasuya, Progr. Theor. Phys. 16, 45 (1956); K. Yosida, Phys. Rev. 106, 893 (1957).

    Article  ADS  Google Scholar 

  5. K. Binder and K. Schröder, Phys. Rev. B14, 2142 (1976).

    Article  ADS  Google Scholar 

  6. J. L. Tholence and E. F. Wassermann, Physica 86–88 B+C, 875 (1977). E. F. Wassermann and J. L. Tholence, AIP Conf. Proc. 29, 237 (1976).

    Google Scholar 

  7. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1972 (1975).

    Article  Google Scholar 

  8. B. W. Southern and A. P. Young, preprint.

    Google Scholar 

  9. J. L. Tholence and R. Tournier, J. Phys. 35, C4, 229 (1974).

    Google Scholar 

  10. D. A. Smith, J. Phys. F4, L266 (1974); F5, 2148 (1975).

    Article  ADS  Google Scholar 

  11. K. Binder and K. Schröder, Solid State Comm. 18, 1361 (1976).

    Article  ADS  Google Scholar 

  12. J. Dumas, C. Schlenker, J. L. Tholence and R. Tournier, AIP Conf. Proc. 29, 431 (1976).

    Article  ADS  Google Scholar 

  13. F. Holtzberg, J. L. Tholence and R. Tournier, preprint.

    Google Scholar 

  14. H. Maletta, private communication.

    Google Scholar 

  15. T. Mizoguchi, T. R. McGuire, S. Kirkpatrick, and R. J. Gambino, Phys. Rev. Lett. 38, 89 (1977).

    Article  ADS  Google Scholar 

  16. R. W. Kline, A. M. de Graaf, L. E. Wenger and P. H. Keesom, AIP Conf. Proc. 29, 169 (1976).

    Article  ADS  Google Scholar 

  17. A. Arrott, J. Appl. Phys. 36, 1093 (1965).

    Article  ADS  Google Scholar 

  18. A. P. Murani, Phys. Rev. Lett. 37, 450 (1976).

    Article  ADS  Google Scholar 

  19. V. Cannella and J. A. Mydosh, Phys. Rev. B6, 4220 (1972).

    Article  ADS  Google Scholar 

  20. L. E. Wenger and P. H. Keesom, Phys. Rev. B13, 4053 (1976).

    Article  ADS  Google Scholar 

  21. H. A. Zweers, W. Pelt, G. J. Nieuwenhuys and J. A. Mydosh, physica 86–88B+C 837 (1977).

    Google Scholar 

  22. J. A. Mydosh, P. J. Ford, M. P. Kawatra and T. E. Whall, Phys. Rev. B10, 2845 (1974).

    Article  ADS  Google Scholar 

  23. G. F. Hawkins, T. J. Moran and J. L. Thomas, AIP Conf. Proc. 29, 235 (1976).

    Article  ADS  Google Scholar 

  24. U. Gonser, R. W. Grant, C. J. Meecham, A. M. Muir and H. Wiedersich, J. Appl. Phys. 36, 2124 (1965); R. J. Borg, Phys. Rev. B1, 349 (1970).

    Article  ADS  Google Scholar 

  25. D. E. Murnick, A. T. Fiory and W. J. Kossler, Phys. Rev. Lett. 36, 100 (1976).

    Article  ADS  Google Scholar 

  26. D. E. MacLaughlin and H. Alloul, Phys. Rev. Lett. 36, 1158 (1976); 38, 181 (1977); D. A. Levitt and R. E. Walstedt, Phys. Rev. Lett. 38, 178 (1977).

    Article  ADS  Google Scholar 

  27. P. A. Beck, in Magnetism in Alloys, ISM-AIME, New York 1972.

    Google Scholar 

  28. C. N. Guy, J. Phys. F5, L242 (1975).

    Article  ADS  MathSciNet  Google Scholar 

  29. G. J. Nieuwenhuys and J. A. Mydosh, physica 86–88 B+C, 880 (1977).

    Google Scholar 

  30. H. Scheuer, M. Löwenhaupt and W. Schmatz, physica 86–88 B+C, 842 (1977).

    Google Scholar 

  31. J. Souletie and R. Tournier, J. Low. Temp. Physics 1, 95 (1969).

    Article  ADS  Google Scholar 

  32. A. Mukhopadhyay and P. A. Beck, Solid State Comm. 16, 1067 (1975).

    Article  ADS  Google Scholar 

  33. A. Blandin, thesis, University of Paris (1961, unpublished) and private communication.

    Google Scholar 

  34. S. F. Edwards and P. W. Anderson, J. Phys. F5, 965 (1975).

    Article  ADS  Google Scholar 

  35. K. H. Fischer, Phys. Rev. Lett. 34, 1438 (1975).

    Article  ADS  Google Scholar 

  36. K. H. Fischer, Solid State Comm. 18, 1515 (1976).

    Article  ADS  Google Scholar 

  37. T. Plefka, J. Phys. F6, L327 (1976); S. K. Ghatak and K. Moorjani, preprint; see also W. Kinzel and K. H. Fischer, preprint.

    Article  ADS  Google Scholar 

  38. K. H. Fischer, physica 86–88 B+C, 813 (1977), W. Kinzel and K. H. Fischer, to be published

    Google Scholar 

  39. This behavior of the correlation function in the EA-model was noted from a symmetry argument in Ref. [36] and from the structure of the high temperature expansion in Refs. [11, 40]. K. H. Fischer, Solid State Comm. 18, 1515 (1976). K. Binder and K. Schröder, Solid State Comm. 18, 1361 (1976). C. Domb, J. Phys. A9, L17 (1976).

    Article  ADS  Google Scholar 

  40. C. Domb, J. Phys. A9, L17 (1976).

    Article  ADS  Google Scholar 

  41. R. J. Glauber, J. Math. Phys. 4, 294 (1963).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  42. S. F. Edwards and P. W. Anderson, J. Phys. F6, 1927 (1976).

    Article  ADS  Google Scholar 

  43. D. Sherrington, J. Phys. C8, L208 (1975); B. J. Southern, J. Phys. C8, L213 (1975).

    Article  ADS  Google Scholar 

  44. M. W. Klein, Phys. Rev. 173, 552 (1968); C. Held and M. W. Klein, Phys. Rev. Lett. 35, 1783 (1975); I. Riess and M. W. Klein, Phys. Rev. B14, 5008 (1976); M. W. Klein, Phys. Rev. B14, 5018 (1976); see also N. Rivier, Phys. Rev. Lett. 37, 232 (1976).

    Article  ADS  Google Scholar 

  45. I. Riess, physica 86–88 B+C, 827 (1977).

    Google Scholar 

  46. K. Adkins and N. Rivier, J. Phys. 35, C4–237 (1974); J. Phys. F5, 1745 (1975).

    Google Scholar 

  47. See e. g. C. Domb and M. S. Green (eds.), Phase Transitions and Critical Phenomena Vol. 6 (Academic, London 1977).

    Google Scholar 

  48. S. K. Ma, Modern Theory of Critical Phenomena, Benjamin, New York 1976.

    Book  Google Scholar 

  49. A. B. Harris, T. C. Lubensky and J. H. Chen, Phys. Rev. Lett. 36, 415 (1976). J.-H. Chen and T. C. Lubensky, preprint.

    Article  ADS  Google Scholar 

  50. G. Heber, preprint; H. Müske and G. Heber, J. Phys. F6, 1353 (1976).

    Article  ADS  Google Scholar 

  51. A. Blandin, private communication.

    Google Scholar 

  52. C. Jayaprakash J. Chalupa and M. Wortis, preprint.

    Google Scholar 

  53. A. P. Young, preprint; A. P. Young and R. P. Stinchcombe, J. Phys. C9, 4419 (1976).

    Google Scholar 

  54. S. Kirkpatrick, Phys. Rev. B15, 1533 (1977); and Private communication.

    Article  ADS  Google Scholar 

  55. R. Fisch and A. B. Harris, to be published; and private communication.

    Google Scholar 

  56. J. M. Kosterlitz, D. J. Thouless and R. C. Jones, Phys. Rev. Lett. 36, 1217 (1976).

    Article  ADS  Google Scholar 

  57. D. J. Thouless, P. W. Anderson and R. G. Palmer, Phil. Mag. (1977, in press).

    Google Scholar 

  58. D. C. Mattis, Phys. Lett. 56A, 421 (1976); J. M. Luttinger, Phys. Rev. Lett. 37, 778 (1976).

    ADS  Google Scholar 

  59. A. Aharony and Y. Imry, Solid State Comm. 20, 899 (1976); Proc. Second Int. Symp. on Amorphous Magnetism (R. A. Levy and R. Hasegawa), Plenum Press, N. Y. (1977, in press).

    Article  ADS  Google Scholar 

  60. R. Bidaux, J. P. Carton and G. Sarma, Phys. Lett. 58A, 467 (1976).

    ADS  Google Scholar 

  61. S. F. Edwards, J. Phys. F6, 1923 (1976).

    Article  ADS  Google Scholar 

  62. J. Hopkinson, Phil. Trans. Roy. Soc. A180, 443 (1889).

    Article  ADS  Google Scholar 

  63. E. Kneller, in Handbuch der Physik (S. Flügge, Ed.), Vol. 18, Part 2, Springer, Berlin (1966); L. Neél. Ann. Geophys. 5, 99 (1949).

    Google Scholar 

  64. E. P. Wohlfarth, physica 86–88 B+C, 852 (1977).

    Google Scholar 

  65. P. A. Beck, physica (1977, in press); A. K. Mukhopadhyay, R. D. Shull and P. A. Beck, J. Less Common Metals 43, 69 (1975).

    Google Scholar 

  66. J. L. Tholence and R. Tournier, physica 86–88 B+C, 873 (1977).

    Google Scholar 

  67. See also N. Rivier, preprint; F. A. de Rozario and D. A. Smith, preprint.

    Google Scholar 

  68. K. Binder, Z. Phys. (1977. in the press).

    Google Scholar 

  69. P. W. Anderson, B. I. Halperin and C. Varma, Phil. Mag. 25, 1 (1972).

    Article  MATH  ADS  Google Scholar 

  70. K. Binder, in Phase Transitions and Critical Phenomena, Vol. 5b (C. Domb and M. S. Green, (eds.), p. 1 (Academic, London 1976); Adv. Phys. 23, 917 (1974).

    Google Scholar 

  71. K. Binder, Physica 86–88 B+C, 871 (1977).

    Google Scholar 

  72. K. Binder and D. Stauffer, Phys. Lett. A57, 177 (1976).

    Article  Google Scholar 

  73. W. Y. Ching and D. L. Huber, AIP Conf. Proc. (to be published); Phys. Lett. 59A, 383 (1976).

    Google Scholar 

  74. D. Sherrington, AIP Conf. Proc. 29 (in press); S. Kirkpatrick, private communication.

    Google Scholar 

  75. N. Rivier and K. Adkins, in Amorphous Magnetism, p. 215 (H. O. Hooper and A. M. de Graaf, eds.), Plenum, N.Y. 1973.

    Google Scholar 

  76. L. R. Walker and R. E. Walstedt, Phys. Rev. Lett. 38, 514 (1977); F. A. de Rozario, D. A. Smith and C. H. J. Johnson, physica 86–88 B+C, 861 (1977).

    Article  ADS  Google Scholar 

  77. K. Binder, Ann. Phys. (N.Y.) 98, 390 (1976), and references therein.

    Article  ADS  Google Scholar 

  78. For an introduction to percolation theory, see J. W. Essam, in Phase Transitions and Critical Phenomena, Vol. 2 (C. Domb and M. S. Green, eds.), Academic, New York 1972.

    Google Scholar 

  79. M. F. Sykes, D. S. Gaunt and M. Glen, J. Phys. A9, 87 (1976).

    Article  ADS  Google Scholar 

  80. K. Binder, D. Stauffer and H. Müller-Krumbhaar, Phys. Rev. B10, 3853 (1974); B12, 5261 (1975).

    Article  ADS  Google Scholar 

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  1. Institut für Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany

    Kurt Binder

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  1. Kurt Binder
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J. Treusch

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© 1977 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Binder, K. (1977). Theory of spin glasses: A brief review. In: Treusch, J. (eds) Festkörperprobleme 17. Advances in Solid State Physics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107758

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  • DOI: https://doi.org/10.1007/BFb0107758

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