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Part of the book series: NATO ASI Series ((NSSB,volume 168))

Abstract

Phase transitions are of current interest in many areas of condensed matter physics. They occur in many systems, among them we can mention liquid-gas transition, superfluidity, binary alloys (such as β-brass), structural phase transitions and magnetic phase transitions (MPT). The MPT are especially interesting because of the wide variety of available magnetic compounds with different lattices, spins and interactions. The simplest case of an MPT is the ferromagnetic transition which is usually of second order and only occurs in zero magnetic field. The case of two sublattices antiferromagnets is richer since they undergo phase transitions in a certain range of applied magnetic fields, which can be of first order (metamagnetism; spin-flop phases). Besides these simple ferromagnets and antiferromagnets (F and AF), other magnetic compounds which exhibit a more complex class of phase transitions are found such as: systems with a non magnetic ground state induced either by zero field splitting, or in the case of magnetic chains, by alternating AF interactions; magnetic chains with a large magnetoelastic coupling inducing a spin-Peierls transition; frustrated antiferromagnets with more than two sublattices or with incommensurate magnetic ordering.

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References

  1. Kadanoff, L.P., Götze, W., Hamblen, D., Hecht, R., Lewis, E.A.S., Palciauskas, V.V., Rayl M. and Swift, J. 1967, Rev. Mod. Phys. 39, 395.

    Article  ADS  Google Scholar 

  2. De Jongh, L.J. and Miedema, A.R. 1974, Adv. Phys. 23, 1.

    Article  ADS  Google Scholar 

  3. Ferré, J. and Gehring, G.A. 1984, Rep. Prog. Phys. 47. 513.

    Article  ADS  Google Scholar 

  4. Haidane, F.D.M. 1983, Phys. Lett. A 93, 464.

    Article  ADS  MathSciNet  Google Scholar 

  5. Haidane, F.D.M. 1983, Phys. Rev. Lett. 50, 1153.

    Article  ADS  MathSciNet  Google Scholar 

  6. Widom, B. 1965, J. Chem. Phys. 43, 3892 and 3898.

    Article  ADS  Google Scholar 

  7. Wilson, K.G. 1971, Phys. Rev. B4, 3174.

    Article  ADS  Google Scholar 

  8. Mukamel, D. and Krinsky, S. 1976, Phys Rev. B 13, 5065 and 5078.

    Article  ADS  Google Scholar 

  9. Bloch, D., Hermann-Ronzad, D., Vettier, C. Yelon, W.B. and Alben, R. 1975, Phys. Rev. Lett. 35, 963.

    Article  ADS  Google Scholar 

  10. Le Guillou, J.C. and Zinn-Justin, J. 1977, Phys. Rev. Lett. 39, 95.

    Article  ADS  Google Scholar 

  11. Kosterlitz, J.M. and Thouless, D.J. 1973, J. Phys. C6, 1181.

    ADS  Google Scholar 

  12. Kosterlitz, J.M. 1914, J. Phys. C7, 1047.

    Google Scholar 

  13. Onsager, L. 1944, Phys. Rev. 65, 117.

    Article  ADS  MathSciNet  Google Scholar 

  14. Larkin, I.A. and Khmel’Nitskii, D.E. 1969, Sov. Phys. JETP. 29, 1123.

    ADS  Google Scholar 

  15. Brézin, E. 1975, J. Physique Lett. 36, L51.

    Article  Google Scholar 

  16. Brézin, E. and Zinn-Justin, J. 1976, Phys. Rev. B13, 251.

    Article  ADS  Google Scholar 

  17. Ahlers, G. Kornblit, A. and Guggenheim, H.J. 1975, Phys. Rev. Lett. 34, 1227.

    Article  ADS  Google Scholar 

  18. Als Nielsen, J. 1976, Phys. Rev. Lett. 37, 1161.

    Article  ADS  Google Scholar 

  19. Beauvillain, P., Chappert, C. and Laursen, I. 1980, J. Phys. C 13, 1481.

    Article  ADS  Google Scholar 

  20. Beauvillain, P., Renard, J.P., Laursen, I. and Walker, P.J. 1978, Phys. Rev. B 18, 3360.

    Article  ADS  Google Scholar 

  21. Steiner, M., Villain, J. and Windsor, C.G. 1976, Adv. Phys. 25, 87.

    Article  ADS  Google Scholar 

  22. Renard J.P. 1985, Magnetostructural correlations in exchange coupled systems, edit. Willett, R.D, Gatteschi, D. and Kahn O., NATO ASI Series, D. Reidel Publ. Co., 140, 207.

    Google Scholar 

  23. Takahashi, M. 1987, Phys. Rev. Lett. 58, 168.

    Article  ADS  Google Scholar 

  24. Bonner, J.C. and Fisher, M.E. 1964, Phys. Rev. A 135, 640.

    Article  ADS  Google Scholar 

  25. Baker, G.A. J., Rushrooke, G.S. and Gilbert, H.E. 1964, Phys. Rev. A 135, 1273.

    Google Scholar 

  26. Mermin N.D. and Wagner H. 1966, Phys. Rev. Lett. 17, 1133.

    Article  ADS  Google Scholar 

  27. Tobochnik, J. and Chester, G.V. 1979, Phys. Rev. B 20, 3761.

    Article  ADS  Google Scholar 

  28. Birgeneau, R.J., Dingle, R., Hutchings, M.T., Shirane, G. and Holt, S.L. 1971, Phys. Rev. Lett. 26, 718.

    Article  ADS  Google Scholar 

  29. Hutchings, M.T., Shirane, G., Birgeneau, R.J. and Holt, S.L. 1972, Phys. Rev. B 5, 1999.

    Article  ADS  Google Scholar 

  30. Boucher, J.P., Regnault, L.P., Rossat-Mignod, J., Villain, J. and Renard J.P. 1979, Solid State Commun. 31, 311.

    Article  ADS  Google Scholar 

  31. Regnault, L.P. and Rossat-Mignod, J. “Magnetic properties of layered transition metal compounds”, Chapter 6 (to be published).

    Google Scholar 

  32. Regnault, L.P., Rossat-Mignod, J. and Henry J.Y. 1983, J. Phys. Soc. Japan 52, 1.

    Article  MathSciNet  Google Scholar 

  33. Navarro, R. and de Jongh, L.J. 1978, Physica 94 B, 67.

    Google Scholar 

  34. Pfeuty, P., Jasnow D. and Fisher M.E. 1974, Phys. Rev. B 10, 2088.

    Article  ADS  Google Scholar 

  35. Velu, E., Renard, J.P. and Lécuyer, B. 1976, Phys. Rev. B 14, 5088.

    Article  ADS  Google Scholar 

  36. Dupas, A. and Renard, J.P. 1976, J. de Physique 37, C1–213.

    Article  Google Scholar 

  37. de Jongh, L.J. 1976, Physica 82B, 247.

    Google Scholar 

  38. Villain. J. and Loveluck, J.M. 1977, J. de Physique Lett. 38, L77.

    Article  Google Scholar 

  39. Imry, Y. 1976, Phys. Rev. B13, 3018.

    Article  ADS  Google Scholar 

  40. Dupas, C. and Renard, J.P. 1973, Phys. Lett. 43A, 119.

    Article  ADS  Google Scholar 

  41. Hone, D. and Pires, A. 1977, Phys. Rev. B15, 323.

    Article  ADS  Google Scholar 

  42. Faria, A.C. and Pires, A.S.T. 1979, J.Phys. C 12, 2637.

    Article  ADS  Google Scholar 

  43. Boersma, F. de Jonge, W.J.M. and Kopinga, K. 1981, Phys. Rev. B 23, 186.

    Article  ADS  Google Scholar 

  44. Verdaguer, M., Gleizes, A., Renard, J.P. and Seiden, J. 1984, Phys. Rev. B 29, 5144.

    Article  ADS  Google Scholar 

  45. Thorpe, M.F. 1975, J. Physique 36, 1177.

    Article  Google Scholar 

  46. de Jongh, L.J. 1983, Magnetic Phase Transitions, Springer Series in Solid-State Sciences, Volume 48, 172.

    Google Scholar 

  47. Dupas, C. and Renard, J.P. 1978, Phys. Rev. B 18, 401.

    Article  ADS  Google Scholar 

  48. Cheikh-Rouhou, A., Dupas, C., Renard, J.P. and Seiden, J. 1982, Phys. Rev. B 25, 3261.

    Article  ADS  Google Scholar 

  49. Steiner, M. and Axmann, A. 1976, Solid State Commun. 19, 115.

    Article  ADS  Google Scholar 

  50. Ferré, J., Jamet, J.P., Renard, J.P. and Briat, B. 1983, J. Phys. C 16, 108.

    Google Scholar 

  51. Schouten, J.C., Boersma, F., Kopinga, K. and de Jonge, W.J.M. 1980, Phys. Rev. B 21, 4084.

    Article  ADS  Google Scholar 

  52. Velu, E., Renard, J.P., and Corbel, G. 1978, J. Physique. Colloque, 39, C6–717.

    Google Scholar 

  53. Takeda, K. 1976, J. Phys. Soc. Japan 40, 1781.

    Article  ADS  Google Scholar 

  54. Bartholome, J., Algra, H.A., de Jongh, L.J. and Huiskamp, W.J. 1977, Physica 86-88 B, 707.

    Google Scholar 

  55. Frasse, C. 1985 thesis, Toulouse (unpublished).

    Google Scholar 

  56. Yamamoto, I. 1980, J. Phys. Soc. Japan 49, 74.

    Article  ADS  Google Scholar 

  57. Nagata, K., Iio, K., Igarashi, M. and Tazuke, Y. 1986, J. Mag. Mag. Mat. 54-57, 33.

    Article  ADS  Google Scholar 

  58. Kubo, H., Uryû, N., Hamasaki, T., Hidaka, M., Nishihara, H. and Yasuoka, H. 1986, J. Mag. Mag. Mater. 54-57, 35.

    Article  ADS  Google Scholar 

  59. Cheikh-Rouhou, A., Dupas, C. and Renard, J.P. 1983, J. Physique-Lettres 44, L.777.

    Article  Google Scholar 

  60. Boucher, J.P., Dupas, C., Fitzgerald, W.J., Knorr, K. and Renard, J.P. 1978, J. Physique-Lettres 39, L–86.

    Article  Google Scholar 

  61. Endoh, Y., Heilmann, I.U, Birgeneau, R.J., Shirane, G., McGurn, A.R. and Thorpe, M.F. 1981, Phys. Rev. B 23, 4582.

    Article  ADS  Google Scholar 

  62. Clark, W.G., Azevedo, L.J. and Mc. Lean, E.O., 1975, Proceedings of LT 14 Conference, Otaniemi, 4, 369.

    Google Scholar 

  63. Almond, D.P. and Rayne, J.A. 1975, Phys. Lett. 55A, 137.

    Article  ADS  Google Scholar 

  64. Dupas, C. and Renard, J.P. 1976, Solid State Commun. 20, 581.

    Article  ADS  Google Scholar 

  65. Boucher J.P., Regnault, L.P., Rossat-Mignod, J., Renard, J.P. Bouillot, J. and Stirling, W.G., 1981, J. Appl. Phys. 52, 1956.

    Article  ADS  Google Scholar 

  66. de Groot, H.J.M. and de Jongh, L.J. 1986, Physica 141B, 1.

    Google Scholar 

  67. Takeda, K., Koike, T., Tonegawa, T. and Harada, I. 1980, J. Phys. Soc. Japan 48, 1115.

    Article  ADS  Google Scholar 

  68. de Jonge, W.J.M., Hijsmans, J.P.A.M., Boersma, F., Schouten, J.C. and Kopinga, K. 1978, Phys. Rev. B 17, 2922.

    Article  ADS  Google Scholar 

  69. Vélu, E., Mégy, R. and Seiden, J. 1983, Phys. Rev. B 27, 4429.

    Article  ADS  Google Scholar 

  70. Fishman, S. and Aharony, A. 1979, J. Phys. C12, L 729.

    ADS  Google Scholar 

  71. Grinstein, G. and Ma, S.K. 1982, Phys. Rev. Lett. 49, 685.

    Article  ADS  Google Scholar 

  72. Imbrie, Z. 1984, Phys. Rev. Lett. 53, 1747.

    Article  ADS  Google Scholar 

  73. Villain, J. 1985, Scaling Phenomena in disordered systems, ed. R. Pynn and A. Skjeltorp, Plenum Publ. Co., 423.

    Google Scholar 

  74. Belanger, D.P., King, A.R., Jaccarino, V. and Cardy, J.L. 1983, Phys. Rev. B 28, 2522.

    Article  ADS  Google Scholar 

  75. Shapira, Y., Oliveira, Jr., N.F. and Foner, S. 1984, Phys. Rev. B30, 6639.

    Article  ADS  Google Scholar 

  76. Cowley, R.A., Yoshizawa, H., Shirane, G. Hagen, M. and Birgeneau, R.J. 1984, Phys. Rev. B 30, 6650.

    Article  ADS  Google Scholar 

  77. King, A.R., Mydosh, J.A. and Jaccarino, V. 1986, Phys. Rev. Lett. 2525.

    Article  ADS  Google Scholar 

  78. de Groot, H.J.M. and de Jongh, L.J. 1986, Physica Scripta T13, 219.

    Article  ADS  Google Scholar 

  79. Rohrer, H. 1981, J. Appl. Phys. 52, 1708.

    Article  ADS  Google Scholar 

  80. Shapira, Y. 1982, J. Appl. Phys. 53, 1931.

    Article  ADS  Google Scholar 

  81. Mégy, R. 1987, thesis, Orsay (unpublished).

    Google Scholar 

  82. de Jongh, L. J. 1985, Magnetostructural correlations in exchange coupled systems, NATO ASI series, D. Reidel Publ. Co, 140, 1.

    Google Scholar 

  83. Landee, C.P., in this book.

    Google Scholar 

  84. Fields, J.N., Blöte, H.W.J. and Bonner, J.C. 1979, J. Appl. Phys. 50, 1807.

    Article  ADS  Google Scholar 

  85. Mohan, M. and Bonner, J.C. 1982, J. Appl. Phys. 53, 8035.

    Article  ADS  Google Scholar 

  86. Bonner, J.C., Friedberg, S.A., Kobayashi, H., Meier, D.L., and Blöte, H.W. 1983, Phys. Rev. B 27, 248 and references therein.

    Article  ADS  Google Scholar 

  87. Botet, R. Jullien, R. and Kolb, M. 1983, Phys. Rev. B 28, 3914.

    Article  ADS  Google Scholar 

  88. Nightingale, M.P. and Blöte, H.W.J. 1986, Phys. Rev. B 33, 659.

    Article  ADS  Google Scholar 

  89. Steiner, M., paper in this book.

    Google Scholar 

  90. Renard, J.P., Verdaguer, M. Regnault, L.P. Erkelens, W.A.G., Rossat-Mignod, J. and Stirling, W.G., Paper in this book.

    Google Scholar 

  91. Kosevich, Yu. A. and Chubukov, A.V. 1986, J.E.T.P. 91, 1105 (in (Russian); English translation to appear in Sov. Phys. JETP.

    Google Scholar 

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Renard, JP. (1987). Magnetic Phase Transitions in Low-Dimensional Systems. In: Delhaes, P., Drillon, M. (eds) Organic and Inorganic Low-Dimensional Crystalline Materials. NATO ASI Series, vol 168. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-2091-1_9

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  • DOI: https://doi.org/10.1007/978-1-4899-2091-1_9

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