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Reviews of topical problems


Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets


Recent experimental and theoretical investigations of frustrated triangular-lattice antiferromagnets are reviewed. An analysis is made of phases with different structures: partly disordered and double incommensurate states, helical configurations, triangular superstructures, etc. These phases appear because of an instability of the conical high-symmetry point in the Brillouin zone as a result of the dipole interaction, or they may be due to other factors. An analysis is made of magnetic transitions belonging to new universal classes as well as Berezinskii--Kosterlitz--Thouless transitions with an exponential decay of correlations in the low-temperature phase. The chiral symmetry and the associated problem of transition accompanied by simultaneous ordering of discrete and continuous components of the order parameter space are considered for triangular antiferromagnets with different spins. The spectrum of collective modes of some incommensurate structures is analyzed.

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Fulltext is also available at DOI: 10.1070/PU1989v032n10ABEH002765
PACS: 75.30.Kz, 75.40.Cx, 75.50.Ee, 75.30.Et (all)
DOI: 10.1070/PU1989v032n10ABEH002765
URL: https://ufn.ru/en/articles/1989/10/b/
Citation: Gekht R S "Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets" Sov. Phys. Usp. 32 871–890 (1989)
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Оригинал: Гехт Р С «Магнитные состояния и фазовые переходы во фрустрированных антиферромагнетиках с треугольной решеткой» УФН 159 261–296 (1989); DOI: 10.3367/UFNr.0159.198910b.0261

References (134) ↓ Cited by (47) Similar articles (20)

  1. T. Haseda, N. Wada, M. Hata, and K. Amaya Physica B + C (Utrecht) 108 841 (1981)
  2. N. Wada, K. Ubukoshi, and K. Hirakawa J. Phys. Soc. Jpn. 51 2833 (1982)
  3. H. Shiba Solid State Commun. 41 511 (1982)
  4. N. Suzuki J. Phys. Soc. Jpn. 52 3199 (1983)
  5. W. Knop, M. Steiner, and P. Day J. Magn. Magn. Mater. 31, 34 1033 (1983)
  6. N. V. Fedoseeva, R. S. Gekht, T. A. Velikanova, and A. D. Balaev Pis'ma Zh. Eksp. Teor. Fiz. 41 332 (1985); N. V. Fedoseeva, R. S. Gekht, T. A. Velikanova, and A. D. Balaev JETP Lett. 41 406 (1985)
  7. Yu. A. Izyumov Usp. Fiz. Nauk 144 439 (1984); Yu. A. Izyumov Sov. Phys. Usp. 27 845 (1984)
  8. Yu. A. Izyumov Neutron Diffraction By Long-Period Structures (Energoatomizdat, M., 1987), [in Russian]
  9. A. Adam, D. Billerey, C. Terrier, R. Mainard et al Solid State Commun 35 1 (1980)
  10. S. R. Kuindersma, J. P. Sanchez, and C. Haas Physica B (Utrecht) 111 231 (1981)
  11. L. P. Regnault, J. Rossat-Mignod, A. Adam, D. Billerey, and C. Terrier J. Phys. (Paris) 43 1283 (1982)
  12. A. Adam, D. Billerey, C. Terrier, H. Bartholin, L. P. Regnault, and J. Rossat-Mignod Phys. Lett. A 84 24 (1981)
  13. M. W. Moore, P. Day, C. Wilkinson, and K. R. A. Ziebeck Solid State Commun. 53 1009 (1985)
  14. J. Villain Physica B (Utrecht) 86, 88 631 (1977)
  15. R. S. Gekht Zh. Eksp. Teor. Fiz. 93 255 (1987); R. S. Gekht Sov. Phys. JETP 66 147 (1987)
  16. H. Yoshizawa and K. Hirakawa J. Phys. Soc. Jpn. 46 448 (1979)
  17. W. B. Yelon, D. E. Cox, and M. Eibschütz Phys. Rev. B 12 5007 (1975)
  18. H. Shiba Prog. Theor. Phys. 64 466 (1980)
  19. M. Kaburagi, T. Tonegawa, and J. Kanamori J. Phys. Soc. Jpn. 51 3857 (1982)
  20. F. Matsubara and S. Ikeda Phys. Rev. B 28 4064 (1983)
  21. F. Matsubara and S. Inawashiro J. Phys. Soc. Jpn. 53 4373 (1984)
  22. H. Kawamura and S. Miyashita J. Phys. Soc. Jpn. 53 9 (1984)
  23. D. Fruchart, E. F. Bertaut, R. Madar, G. Lorthioir, and R. Fruchart Solid State Commun. 9 1793 (1971)
  24. A. F. Andreev and V. I. Marchenko Usp. Fiz. Nauk 130 39 (1980); A. F. Andreev and V. I. Marchenko Sov. Phys. Usp. 23 21 (1980)
  25. J. C. Wheatley Rev. Mod. Phys. 47 415 (1975)
  26. V. L. Berezinski&ibreve; Zh. Eksp. Teor. Fiz. 59 907 (1970); V. L. Berezinski&ibreve; Sov. Phys. JETP 32 493 (1971)
  27. J.M. Kosterlitz and D. J. Thouless J. Phys. C 6 1181 (1973)
  28. J. M. Kosterlitz J. Phys. C 7 1046 (1974)
  29. K. G. Wilson Phys. Rev. D 10 2445 (1974)
  30. J. B. Kogut Rev. Mod. Phys. 51 659 (1979)
  31. K. Hirakawa, H. Kadowaki, and K. Ubukoshi J. Phys. Soc. Jpn. 52 1814 (1983)
  32. K. Hirakawa, H. Ikeds, H. Kadowaki, and K. Ubukoshi J. Phys. Soc. Jpn. 52 2882 (1983)
  33. I. Yamada, K. Ubukoshi, and K. Hirakawa J. Phys. Soc. Jpn. 53 381 (1984)
  34. K. Takeda, K. Ubukoshi, T. Haseda, and K. Hirakawa J. Phys. Soc. Jpn. 53 1480 (1984)
  35. H. Kawamura J. Phys. Soc. Jpn. 54 3220 (1985)
  36. H. Nishimori and H. Nakanishi J. Phys. Soc. Jpn. 57 626 (1988)
  37. E. Rastelli and A. Tassi J. Phys. C 21 L35 (1988)
  38. S. Miyashita and H. Shiba J. Phys. Soc. Jpn. 53 1145 (1984)
  39. D. H. Lee, J. D. Joannopoulos, J. W. Negele, and D. P. Landau Phys. Rev. Lett. 52 433 (1984); D. H. Lee, J. D. Joannopoulos, J. W. Negele, and D. P. Landau Phys. Rev. B 33 450 (1986)
  40. M. Yosefin and E. Domany Phys. Rev. B 32 1778 (1985)
  41. M. Y. Choi and D. Stroud Phys. Rev. B 32 5773 (1985)
  42. H. Kawamura J. Phys. Soc. Jpn. 55 2095 (1986)
  43. R. S. Gekht Zh. Eksp. Teor. Fiz. 87 2095 (1984); R. S. Gekht Sov. Phys. JETP 60 1210 (1984)
  44. S. Miyashita and H. Kawamura J. Phys. Soc. Jpn. 54 3385 (1985)
  45. P. W. Anderson Mater. Res. Bull. 8 153 (1973)
  46. K. Hirakawa, H. Kadowaki, and K. Ubukoshi J. Phys. Soc. Jpn. 54 3526 (1985)
  47. H. Nishimori and S. Miyashita J. Phys. Soc. Jpn. 55 4448 (1986)
  48. E. Rastelli and A. Tassi J. Phys. C 19 L423 (1986); E. Rastelli, L. Reatto, and A. Tassi J. Phys. C 19 L589 (1986)
  49. E. Rastelli and A. Tassi J. Phys. C 20 L303 (1987)
  50. G. C. De Fotis Phys. Rev. B 23 4714 (1981)
  51. K. Nakanishi and H. Shiba J. Phys. Soc. Jpn. 51 2089 (1982)
  52. Y. Ishibashi and V. Dvorak J. Phys. Soc. Jpn. 45 1119 (1978)
  53. A. Aharony and M. E. Fisher Phys. Rev. B 8 3323 (1973)
  54. H. A. Jahn and E. Teller Proc. R. Soc. London Ser. A 161 220 (1937)
  55. S. Krupi&ibreve;ka Physik Der Ferrite Und Der Verwandten Magnetischen Oxide (Vieweg, Brunswick, West Germany, 1973); Russ. transl., S. Krupi&ibreve;ka Physik Der Ferrite Und Der Verwandten Magnetischen Oxide (Mir, M., 1976)
  56. H. Shiba and N. Suzuki J. Phys. Soc. Jpn. 51 3488 (1982)
  57. T. K. Soboleva, E. P. Stefanovski&ibreve;, and V. V. Tarasenko Fiz. Tverd. Tela (Leningrad) 22 2353 (1980); T. K. Soboleva, E. P. Stefanovski&ibreve;, and V. V. Tarasenko Sov. Phys. Solid State 22 1370 (1980)
  58. C. S. O. Yokoi, M. D. Coutinho-Filho, and S. R. Salinas Phys. Rev. B 24 4047 (1981)
  59. Yu. A. Izyumov, V. M. Laptev, and S. B. Petrov Fiz. Tverd. Tela (Leningrad) 26 734 (1984); Yu. A. Izyumov, V. M. Laptev, and S. B. Petrov Sov. Phys. Solid State 26 443 (1984)
  60. I. E. Dzyaloshinski&ibreve; Zh. Eksp. Teor. Fiz. 47 992 (1964); I. E. Dzyaloshinski&ibreve; Sov. Phys. JETP 20 665 (1965)
  61. W. L. McMillan Phys. Rev. B 14 1496 (1976)
  62. P. G. de Gennes The Physics Of Liquid Crystals (Clarendon Press, Oxford, 1974); Russ. transl., P. G. de Gennes The Physics Of Liquid Crystals (Mir, M., 1977)
  63. T. A. Kontorova and Ya. I. Frenkel' Zh. Eksp. Teor. Fiz. 8 1340 (1938)
  64. L. N. Bulaevski&ibreve; and D. I. Khomski&ibreve; Zh. Eksp. Teor. Fiz. 74 1863 (1978); L. N. Bulaevski&ibreve; and D. I. Khomski&ibreve; Sov. Phys. JETP 47 971 (1978)
  65. V. L. Pokrovski&ibreve; and A. L. Talapov Zh. Eksp. Teor. Fiz. 75 1151 (1978); V. L. Pokrovski&ibreve; and A. L. Talapov Sov. Phys. JETP 48 579 (1978)
  66. Yu. A. Izyumov and V. M. Laptev Zh. Eksp. Teor. Fiz. 88 165 (1985); Yu. A. Izyumov and V. M. Laptev Sov. Phys. JETP 61 95 (1985)
  67. A. W. Overhauser Phys. Rev. B 3 3173 (1971)
  68. P. A. Lee, T. M. Rice, and P. W. Anderson Solid State Commun. 14 703 (1974)
  69. M. Steiner Solid State Commun. 11 73 (1972)
  70. H. Yamazaki, E. A. Soares, H. Panepucci, and Y. Morishige J. Phys. Soc. Jpn. 48 1453 (1980)
  71. M. Steiner, K. Kakurai, W. Knop, B. Dorner, R. Pynn, U. Happek, P. Day, and G. McLeen Solid State Commun. 38 1179 (1981)
  72. P. A. Lindgard J. Magn. Magn. Mater. 54, 57 1227 (1986)
  73. R. S. Gekht Zh. Eksp. Teor. Fiz. 91 190 (1986); R. S. Gekht Sov. Phys. JETP 64 110 (1986)
  74. C. J. Kroese, J. C. M. Tindemans-van Eyndhoven, and W. J. A. Maaskant Solid State Commun. 9 1707 (1971)
  75. C. J. Kroese, W. J. A. Maaskant, and G. C. Verschoor Acta Crystallogr. Sect. B 30 1053 (1974)
  76. B. S. Lee J. Phys. C 12 855 (1979)
  77. K. Adachi, N. Achiwa, and M. Mekata J. Phys. Soc. Jpn. 49 545 (1980)
  78. R. S. Gekht Solid State Commun. 55 709 (1985)
  79. Y. Tazuke, H. Tanaka, K. Iio, and K. Nagata J. Phys. Soc. Jpn. 50 3919 (1981)
  80. Yu. M. Gufan Zh. Eksp. Teor. Fiz. 60 1537 (1971); Yu. M. Gufan Sov. Phys. JETP 33 831 (1971)
  81. I. E. Dzyaloshinski&ibreve; and B. G. Kukharenko Zh. Eksp. Teor. Fiz. 70 2360 (1976); I. E. Dzyaloshinski&ibreve; and B. G. Kukharenko Sov. Phys. JETP 43 1232 (1976)
  82. D. Petitgrand, B. Hennion, P. Radhakrishna, C. Escribe, and S. Legrand Recent Developments in Condensed Matter Physics (Proc. First General Conf. of Condensed Matter Division of European Physical Society, Antwerp 1980) Vol. 4 ed. by J. T. Devreese, L. F. Lemmens, V. E. Van Doren, and J. Van Royen) (Plenum Press, New York, 1981) p. 205
  83. K. L. Dudko, V. V. Eremenko, and V. M. Fridman Zh. Eksp. Teor. Fiz. 68 659 (1975); K. L. Dudko, V. V. Eremenko, and V. M. Fridman Sov. Phys. JETP 41 326 (1975)
  84. A. S. Borovik-Romanov. M. P. Orlova, and P. G. Strelkov Dokl. Akad. Nauk SSSR 99 699 (1954)
  85. E. Kanda, T. Haseda, and A. Otsubo Physica (Utrecht) 20 131 (1954)
  86. V. M. Loktev Fiz. Nizk. Temp. 5 295 (1979); V. M. Loktev Sov. J. Low Temp. Phys. 5 142 (1979)
  87. I. Yamada, K. Ubukoshi, and K. Hirakawa J. Phys. Soc. Jpn. 54 3571 (1985)
  88. G. Sarma Solid State Commun. 10 1049 (1972)
  89. J. Villain J. Phys. C 6 L97 (1973)
  90. R. S. Gekht and V. A. Ignatchenko Zh. Eksp. Teor. Fiz. 76 164 (1979); R. S. Gekht and V. A. Ignatchenko Sov. Phys. JETP 49 84 (1979)
  91. P. W. Stephens, R. J. Birgeneau, C. F. Majkrzak, and G. Shirane Phys. Rev. B 28 452 (1983)
  92. R. J. Meier and R. B. Helmholdt Phys. Rev. B 29 1387 (1984)
  93. B. D. Metcalf Phys. Lett. A 46 325 (1974)
  94. M. Kaburagi and J. Kanamori Proc. Second Intern. Conf. on Solid Surfaces, Kyoto, 1974 Vol. 13 (Jpn. J. Appl. Phys., 1974) p. 145, Suppl. 2
  95. H. Guth and G. Heger Fast Ion Transport in Solids (Proc. Intern. Conf., Lake Geneva, WI 1969) ed. by P. Vashishta et al) (North-Holland, Amsterdam, 1979) p. 499
  96. W. Press, B. Renker, H. Schulz, and H. Böhm Phys. Rev. B 21 1250 (1980)
  97. M. Mekata J. Phys. Soc. Jpn. 42 76 (1977)
  98. G. H. Wannier Phys. Rev. 79 357 (1950)
  99. R. M. F. Houtappel Physica (Utrecht) 16 425 (1950)
  100. G. H. Wannier Phys. Rev. B 7 5017 (1973)
  101. J. V. José, L. P. Kadanofif, S. Kirkpatrick, and D. R. Nelson Phys. Rev. B16 1217 (1977)
  102. E. Müller-Hartmann and J. Zittartz Z. Phys. B 27 261 (1977)
  103. K. Takasaki, I. Harada, and T. Tonegawa J. Phys. Soc. Jpn. 55 4423 (1986)
  104. P. A. Slotte and P. C. Hemmer J. Phys. C 17 4645 (1984)
  105. Y. Saito J. Magn. Magn. Mater. 31, 34 1049 (1983)
  106. B. Mihura and D. P. Landau Phys. Rev. Lett. 38 977 (1977)
  107. D. P. Landau Phys. Rev. B 27 5604 (1983)
  108. Y. Saito and G. Tabe J. Phys. Soc. Jpn. 54 2955 (1985)
  109. Y. Saito, K. Furuta, and M. Hojou J. Phys. Soc. Jpn. 56 178 (1987)
  110. S. Fujiki, K. Shutoh, Y. Abe, and S. Katsura J. Phys. Soc. Jpn. 52 1531 (1983)
  111. B. D. Gaulin, M. F. Collins, and W. J. L. Buyers J. Appl. Phys. 61 3409 (1987)
  112. H. Kadowaki, S. M. Shapiro, T. Inami, and Y. Ajiro J. Phys. Soc. Jpn. 57 2640 (1988)
  113. Y. Ajiro, T. Nakashima, Y. Unno, H. Kadowaki, M. Mekata, and N. Achiwa J. Phys. Soc. Jpn. 57 2648 (1988)
  114. S. H. Shenker and J. Tobochnik Phys. Rev. B 22 4462 (1980)
  115. J. Villain J. Phys. (Paris) 38 385 (1977)
  116. H. Kawamura J. Appl. Phys. 61 3590 (1987)
  117. A. Z. Patashinski&ibreve; and V. L. Pokrovskii Fluctuation Theory Of Phase Transitions (Pergamon Press, Oxford, 1979); Russ., A. Z. Patashinski&ibreve; and V. L. Pokrovskii Fluctuation Theory Of Phase Transitions (Nauka, M., 1975), Later eds. 1980 and 1982]
  118. A. E. Ferdinand and M. E. Fisher Phys. Rev. 185 832 (1969)
  119. M. N. Barber Phase Transitions Crit. Phenom. 8 145 (1983)
  120. D. P. Landau Phys. Rev. B 14 255 (1976); D. P. Landau Phys. Rev. 16 4164 (1977)
  121. P. I. Belobrov, R. S. Gekht, and V. A. Ignatchenko Zh. Eksp. Teor. Fiz. 84 1097 (1983); P. I. Belobrov, R. S. Gekht, and V. A. Ignatchenko Sov. Phys. JETP 57 636 (1983)
  122. K. Takeda, N. Uryu, K. Ubukoshi, and K. Hirakawa J. Phys. Soc. Jpn. 55 727 (1986)
  123. H. Kadowaki, K. Ubukoshi, K. Hirakawa, J. L. Martinez, and G. Shirane J. Phys. Soc. Jpn. 56 4027 (1987)
  124. D. R. T. Jones, A. Love, and M. A. Moore J. Phys. C 9 743 (1976)
  125. J. C. Le Guillou and J. Zinn-Justin Phys. Rev. Lett. 39 95 (1977)
  126. T. Ono and T. Oguchi Phys. Lett. A 38 39 (1972)
  127. H. Kawamura and S. Miyashita J. Phys. Soc. Jpn. 54 4530 (1985)
  128. S. Miyashita J. Phys. Soc. Jpn. 55 3605 (1986)
  129. L. G. Marland and D. D. Betts Phys. Rev. Lett. 43 1618 (1979)
  130. T. Oguchi, H. Nishimori, and Y. Taguchi J. Phys. Soc. Jpn. 55 323 (1986)
  131. P. Fazekas and P.W. Anderson Philos. Mag. 30 423 (1974)
  132. M. Imada J. Phys. Soc. Jpn. 56 311 (1987)
  133. F. Y. Wu Rev. Mod. Phys. 54 235 (1982)
  134. H. Kawamura J. Appl. Phys. 63 3086 (1988)
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