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1987

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December

  

Reviews of topical problems


Interacting magnons

 a,
a Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation

The present state of the theory of spin waves in magnetic insulators is reviewed. Special emphasis is placed on systems with an arbitrary site spin. Some illustrative calculations are carried out on the magnetic characteristics of several systems with a low density of particles (magnons) which interact strongly with each other. The distinctive features of reduced-dimensionality systems which stem from the governing role of spin fluctuations are examined. A separate chapter is devoted to magnetic phase transitions, primarily orientational. Several effects which stem from the dipole interaction of spins are also discussed.

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Fulltext is also available at DOI: 10.1070/PU1987v030n12ABEH003065
PACS: 75.30.Ds, 75.30.Kz, 75.10.−b, 75.30.Gw, 75.50.−y (all)
DOI: 10.1070/PU1987v030n12ABEH003065
URL: https://ufn.ru/en/articles/1987/12/a/
Citation: Kaganov M I, Chubukov A V "Interacting magnons" Sov. Phys. Usp. 30 1015–1040 (1987)
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Оригинал: Каганов М И, Чубуков А В «Взаимодействующие магноны» УФН 153 537–578 (1987); DOI: 10.3367/UFNr.0153.198712a.0537

References (119) ↓ Cited by (34) Similar articles (20)

  1. Akhiezer A I, V G Bar’yakhtar, and S V Peletminski&ibreve; Spin Waves (Wiley, N.Y., 1968); Russ. original, Akhiezer A I, V G Bar’yakhtar, and S V Peletminski&ibreve; Spin Waves (Nauka, M., 1967)
  2. Gurevich A G Magnetic Resonances In Ferrites And Antiferromagnets (in Russian) (Nauka, M., 1973)
  3. Landau L D and E M Lifshitz Electrodynamics Of Continuous Media (Pergamon Press, Oxford, 1984); Russ. original, Landau L D and E M Lifshitz Electrodynamics Of Continuous Media (Nauka, M., 1982)
  4. Agranovich V M Usp. Fiz. Nauk 115 199 (1975); Agranovich V M Sov. Phys. Usp. 18 99 (1975)
  5. Mikaélyan L A Theory And Applications Of Ferrites At Microwave Frequencies (in Russian) (Gosénergoizdat, M., 1963)
  6. Bar’yakhtar V G and M I Kaganov Ferromagnetic Resonances (in Russian) (Fizmatgiz, M., 1961)
  7. Herring C Magnetism eds. G. T. Rado and H. Suhl (Academic Press, Orlando, 1966)
  8. Lifshitz E M and L P Pitaevski&ibreve; Statistical Physics. Part II (Pergamon Press, Oxford, 1980); Russ. original, Lifshitz E M and L P Pitaevski&ibreve; Statistical Physics. Part II (Nauka, M., 1978)
  9. Andreev A F and V I Marchenko Usp, Fiz. Nauk 130 39 (1980); Andreev A F and V I Marchenko Sov. Phys. Usp. 23 21 (1980)
  10. Cross M C and D S Fisher Rev. Mod. Phys. 57 881 (1985)
  11. Nagamiya T Solid State Phys. 20 305 (1967)
  12. Pokrovski&ibreve; V L and G V U&ibreve;min Zh. Eksp. Teor. Fiz. 82 1640 (1982); Pokrovski&ibreve; V L and G V U&ibreve;min Sov. Phys. JETP 55 950 (1982); Nagaev É L Usp. Fiz. Nauk 136 61 (1982); Nagaev É L Sov. Phys. Usp. 25 31 (1982); Hurd C M Contemp. Phys. 23 469 (1982); Hurd C M Russ. Transl. Usp. Fiz. Nauk 142 331 (1984); Papanicolaou N Phys. Lett. 116 89 (1986)
  13. Rudo&ibreve; Yu G and Yu A Tserkovnikov Teor. Mat. Fiz. 19 252 (1974); Rudo&ibreve; Yu G and Yu A Tserkovnikov Theor. Math. Phys. (USSR) 19 491 (1974)
  14. Kaganov M I and A V Chubukov Zh. Eksp. Teor. Fiz. 90 724 (1986); Kaganov M I and A V Chubukov Sov. Phys. JETP 63 422 (1986)
  15. Borovik-Romanov A S Lectures On Low-Temperature Magnetism (in Russian) (NGU, Novosibirsk, 1976)
  16. White R M Quantum Theory Of Magnetism (McGraw-Hill, New York, 1970); Russ. transl., White R M Quantum Theory Of Magnetism (Mir, M., 1985)
  17. Chepurnykh G K Fiz. Tverd. Tela (Leningrad) 11 911 (1969); Chepurnykh G K Sov. Phys. Solid State 10 1517 (1968); Kaganov M I and G K Chepurnykh Fiz. Tverd. Tela (Leningrad) 11 911 (1969); Kaganov M I and G K Chepurnykh Sov. Phys. Solid State 11 745 (1969)
  18. Dzyaloshinski&ibreve; I E Zh. Eksp. Teor. Fiz. 32 1547 (1957); Dzyaloshinski&ibreve; I E Sov. Phys. JETP 5 1259 (1957)
  19. Vaks V G, A I Larkin, and S A Pikin Zh. Eksp. Teor. Fiz. 53 281 (1967); Vaks V G, A I Larkin, and S A Pikin Sov. Phys. JETP 26 188 (1967)
  20. Tyablikov S V Methods In The Quantum Theory Of Magnetism (Plenum Press, N.Y., 1967); Russ. original, Tyablikov S V Methods In The Quantum Theory Of Magnetism Second Edition (Nauka, M., 1975)
  21. Izyumov Yu A, F A Kassan-Ogly, and Yu N Skryabin Field Methods In The Theory Of Ferromagnetism (in Russian) (Nauka, M., 1974)
  22. Onufrieva F P Fiz. Tverd. Tela (Leningrad) 23 2664 (1981); Onufrieva F P Sov. Phys. Solid State 23 1562 (1981); Onufrieva F P Zh. Eksp. Teor. Fiz. 86 1691 (1984); Onufrieva F P Sov. Phys. JETP 59 986 (1984); Onufrieva F P Zh. Eksp. Teor. Fiz. 89 2270 (1985); Onufrieva F P Sov. Phys. JETP 62 1311 (1985)
  23. Za&ibreve;tsev R O Zh. Eksp. Teor. Fiz. 68 207 (1975); Za&ibreve;tsev R O Sov. Phys. JETP 41 100 (1975)
  24. Val’kov V V and S G Ovchinnikov Zh. Eksp. Teor. Fiz. 85 1666 (1983); Val’kov V V and S G Ovchinnikov Sov. Phys. JETP 58 970 (1983)
  25. Holstein T and H Primakoff Phys, Rev. 56 1098 (1940)
  26. Shwinger J On Angular Momentum (US Atomic Energy Commission. NYO, 1952) p. 3071
  27. Dyson F Phys. Rev. 102 1217 (1956)
  28. Maleev S V Zh. Eksp. Teor. Fiz. 33 1010 (1957); Maleev S V Sov. Phys. JETP 6 766 (1958)
  29. Lindgaard P-A and O Danielson J. Phys. C7 1523 (1974)
  30. Agranovich V M and B S Toshich Zh. Eksp. Teor. Fiz. 53 149 (1967); Agranovich V M and B S Toshich Sov. Phys, JETP 26 104 (1967)
  31. Goldhirsch I, E Levich, and V Yachot Phys. Rev. B19 4780 (1979)
  32. Goldhirsch I J. Phys. A13 453 (1980)
  33. Villain J J. Phys. (Paris) 35 27 (1974)
  34. Bar’yakhtar V G and V N Krivoruchko Green’s Functions In The Theory Of Magnetism (in Russian) (Naukova Dumka, Kiev, 1984)
  35. Chubukov A V Zh. Eksp. Teor. Fiz. 89 1316 (1985); Chubukov A V Sov. Phys. JETP 62 762 (1985)
  36. Kaganov M I and A V Chubukov Magnetic Excitations eds. A. A. Maradudin and V. M. Agranovich (North-Holland, Amsterdam, 1988)
  37. Anderson P W Phys. Rev. 86 694 (1952)
  38. Kubo R Phys. Rev. 86 694 (1952)
  39. Filatova L D and V M Tsukernik Zh. Eksp. Teor. Fiz. 53 2203 (1967); Filatova L D and V M Tsukernik Sov. Phys. JETP 26 1243 (1967)
  40. Adler J Phys. Rev. 137 1022 (1965)
  41. Kashcheev V N and V N Krivoglaz Fiz. Tverd. Tela (Leningrad) 3 1541 (1961); Kashcheev V N and V N Krivoglaz Sov. Phys. Solid State 3 1117 (1961)
  42. Rastelli E and A Tassi J. Phys. C13 4377 (1980); Rastelli E and A Tassi J. Phys. C15 509 (1982)
  43. Bar’yakhtar V G and S V Peletminski&ibreve; Fiz. Tverd. Tela (Leningrad) 6 219 (1964); Bar’yakhtar V G and S V Peletminski&ibreve; Sov. Phys. Solid State 6 174 (1964)
  44. Akhiezer I A, V G Bar’yakhrar, and S V Peletminski&ibreve; Zh. Eksp. Teor. Fiz. 40 365 (1961); Akhiezer I A, V G Bar’yakhrar, and S V Peletminski&ibreve; Sov. Phys. JETP 13 249 (1961)
  45. Mattis D C Theory Of Magnetism (Harper & Row, N. Y., 1965); Russ. transl., Mattis D C Theory Of Magnetism (Nauka, M., 1967)
  46. Silberglitt R and A B Harris Phys. Rev. Lett. 19 30 (1967)
  47. Silberglitt R and J B Torrance Phys. Rev. B2 772 (1970)
  48. Bethe H Z. Phys. 71 205 (1931)
  49. Wortis M Phys. Rev. 132 85 (1963)
  50. Hanus J Phys. Rev. Lett. 11 336 (1963)
  51. Boyd R J and J Callaway Phys. Rev. A138 1621 (1965)
  52. Bogoliubov N N J. Phys. (USSR) 11 23 (1947)
  53. Belyaev S T Zh. Eksp. Teor. Fiz. 34 417 (1958); Belyaev S T Sov. Phys. JETP 7 289 (1958)
  54. Lindgaard P-A and A Kovalska J. Phys. C9 2081 (1976)
  55. Rastelli E and P-A Lindgaard J. Phys. C12 1899 (1979)
  56. Obukhov S P Fiz. Tverd. Tela (Leningrad) 23 2664 (1976); Obukhov S P Sov. Phys. Solid State 23 1562 (1981)
  57. Rastelli E and A Tassi J. Phys. C17 723 (1984)
  58. Balucani U, M G Pini, A Rettori, and V Tognetti J. Phys. C13 3895 (1980)
  59. Batyev E G and L S Braginski&ibreve; Zh. Eksp. Teor. Fiz. 87 1361 (1984); Batyev E G and L S Braginski&ibreve; Sov. Phys. JETP 60 781 (1984)
  60. Chubukov A V Zh. Eksp. Teor. Fiz. 85 1319 (1983); Chubukov A V Sov. Phys. JETP 58 765 (1983)
  61. Bar’yakhtar V G, P I Zhukov, and D A Yablonski&ibreve; Fiz. Tverd. Tela (Leningrad) 21 776 (1979); Bar’yakhtar V G, P I Zhukov, and D A Yablonski&ibreve; Sov. Phys. Solid State 21 454 (1979)
  62. Val’kov V V and T A Val’kova Fiz. Nizk. Temp. 11 951 (1985); Val’kov V V and T A Val’kova Sov. J. Low Temp. Phys. 11 524 (1985)
  63. Harris R B, D Kumar, B I Halperin, and P C Hohenberg Phys. Rev. B3 961 (1971)
  64. Halperin B I and P C Hohenberg Phys. Rev. 188 898 (1969)
  65. Bar’yakhtar V G, V P Krasnov, and V L Sobolev Fiz. Tverd. Tela (Leningrad) 15 3039 (1973); Bar’yakhtar V G, V P Krasnov, and V L Sobolev Sov. Phys. Solid State 15 2025 (1973)
  66. Khalatnikov I M Theory Of Superfluidity (in Russian) (Nauka, Moscow, 1971)
  67. Yang C N and C P Yang Phys. Rev. 151 258 (1966)
  68. Oguchi T Phys. Rev. 117 117 (1960)
  69. Harris A B Phys. Rev. Lett. 21 602 (1968)
  70. Pikalev É M, M A Savchenko, and I Sho&ibreve;om Zh. Eksp. Teor. Fiz. 55 1404 (1968); Pikalev É M, M A Savchenko, and I Sho&ibreve;om Sov. Phys. JETP 28 734 (1968)
  71. Kosevich Yu A and A V Chubukov Zh. Eksp. Teor. Fiz. 91 1105 (1986); Kosevich Yu A and A V Chubukov Sov. Phys. JETP 64 654 (1986)
  72. Bar’yakhtar V S, V S Lutovinov, O L Ol’khov, and V L Sobolev F˙iz. Nizk. Temp. 2 1466 (1976); Bar’yakhtar V S, V S Lutovinov, O L Ol’khov, and V L Sobolev Sov. J. Low Temp. Phys. 2 718 (1976)
  73. Morija T Phys. Rev. 117 635 (1960); Rozenfel’d E V Pis’ma Zh. Eksp. Teor. Fiz. 24 60 (1976); Rozenfel’d E V JETP Lett. 24 50 (1976); Borisenko V G and Yu V Pereverzev Fiz. Tverd. Tela (Leningrad) 26 1249 (1984); Borisenko V G and Yu V Pereverzev Sov. Phys. Solid State 26 762 (1984)
  74. Klitzing Von K, G Dorda, and M Pepper Phys. Rev. Lett. 45 494 (1980)
  75. Myers B E, L G Polgar, and S A Friedberg Phys. Rev. B6 3488 (1972); D’yakonov V P et al Proceedings of the Seventeenth All-Union Conference on the Physics of Magnetic Phenomena, Donetsk 1985 (in Russian) p. 87
  76. Asadov S K, Yu D Zavorotnev, and B M Todris Proceedings of the Seventeeth All-Union Conference on the Physics of Magnetic Phenomena, Donetsk, 1985 (in Russian) p. 111
  77. Mermin N D and T Wagner Phys. Rev. Lett. 17 1133 (1966)
  78. Landau L D and E M Lifshitz Statistical Physics Part I (Pergamon Press, N. Y., 1980); Russ. original, Landau L D and E M Lifshitz Statistical Physics Part I (Nauka, M., 1976)
  79. Berezinski&ibreve; V L Zh. Eksp. Teor. Fiz. 59 907 (1970); Berezinski&ibreve; V L Sov. Phys. JETP 32 493 (1970)
  80. Kosterlitz J M and D J Thouless J. Phys. C6 1181 (1973)
  81. Kosterlitz J M J. Phys. C7 1046 (1974)
  82. Pokrovsky V L Adv. Phys. 28 595 (1979)
  83. Polyakov A M Phys. Lett. B59 79 (1975)
  84. Vigman P B Pis’ma Zh. Eksp. Teor. Fiz. 41 79 (1985); Vigman P B JETP Lett. 41 95 (1985)
  85. Pokrovski&ibreve; V L and M V Feigel’man Fiz. Tverd. Tela (Leningrad) 19 2469 (1977); Pokrovski&ibreve; V L and M V Feigel’man Sov. Phys. Solid State 19 1446 (1977); Lebedev V V Zh. Eksp. Teor. Fiz. 87 1481 (1984); Lebedev V V Sov. Phys. JETP 60 851 (1984)
  86. Khveshchenko D Teor. Mat. Fiz. [Theor. Math. Phys. (USSR)]
  87. Lieb E, T Shultz, and D Mattis Ann. Phys. (N.Y.) 16 407 (1961)
  88. Luther A and I Peschel Phys. Rev. B12 3908 (1975)
  89. Glauss U and T Shneider Phys. Rev. B30 217 (1984)
  90. Affleck I and E H Lieb Lett. Math. Phys. 12 57 (1986)
  91. Haldane F D M Phys. Lett. A93 464 (1983); Haldane F D M Phys. Rev. Lett. 50 1153 (1983); Haldane F D M J. Appl. Phys. 57 3359 (1985)
  92. Affleck I Nucl. Phys. B257 397 (1985); Affleck I Nucl. Phys. 265 409 (1986)
  93. Botet R and R Jullien Phys. Rev. B27 613 (1983); Botet R, R Jullien and M Kolb Phys. Rev. B28 3914 (1983)
  94. Parkinson J B et al J. Appl. Phys. 57 3319 (1985)
  95. Parkinson J B and J C Sonner Phys. Rev. B32 4703 (1985)
  96. Ma S-K Modern Theory Of Critical Phenomena (Benjamin, New York, 1976); Russ. transl., Ma S-K Modern Theory Of Critical Phenomena (Mir, M., 1980)
  97. Patashinskii A Z and V L Pokrovski&ibreve; Fluctuation Theory Of Phase Transitions (1982); Russ. original, Patashinskii A Z and V L Pokrovski&ibreve; Fluctuation Theory Of Phase Transitions (Nauka, M., 1982)
  98. Kadanov L P Physica 2 263 (1966)
  99. Hertz J A Phys. Rev. B14 1166 (1976)
  100. Young A P J. Phys. C8 L309 (1975)
  101. Gerber P R and H Beck J. Phys. C10 4013 (1977)
  102. Suzuki M Prog. Theor. Phys. 56 1454 (1976)
  103. Pikin S A and V M Tsukernik Zh. Eksp. Teor. Fiz. 50 1377 (1966); Pikin S A and V M Tsukernik Sov. Phys. JETP 23 914 (1966)
  104. Busiello J and L De Ceasare Phys. Lett. A77 177 (1980)
  105. Usunov D J Phys. Lett. A87 11 (1981)
  106. Kores T K and G Kozlowsky Phys. Lett. A95 104 (1983)
  107. Chubukov A V Teor. Mat. Fiz. 60 145 (1984); Chubukov A V Theor. Math. Phys. (USSR) 60 728 (1984)
  108. Rechester A B Zh. Eksp. Teor. Fiz. 60 782 (1971); Rechester A B Sov. Phys. JETP 33 423 (1971)
  109. Shender E F Phys. Lett. A49 367 (1974)
  110. Chubukov A V Fiz. Nizk. Temp. 10 381 (1984); Chubukov A V Sov. J. Low Temp. Phys. 10 197 (1984)
  111. White R M J. Appl. Phys. 36 3653 (1965)
  112. Kaganov M I and V M Tsukernik Fiz. Met. Metalloved. 5 561 (1957); Kaganov M I and V M Tsukernik Phys. Met. Metallogr. (USSR) 5 ((3)) 172 (1957)
  113. Akhieser A I J. Phys. USSR 10 217 (1946)
  114. Shlöman E Phys. Rev. 121 1312 (1961)
  115. Kaganov M I and V M Tsukernik Zh. Eksp. Teor. Fiz. 34 1610 (1958); Kaganov M I and V M Tsukernik Sov. Phys. JETP 7 1107 (1958); Kaganov M I and V M Tsukernik Zh. Eksp. Teor. Fiz. 36 224 (1959); Kaganov M I and V M Tsukernik Sov. Phys. JETP 9 151 (1959)
  116. Ginzburg V L and M I Kaganov Fiz. Tverd. Tela (Leningrad) 10 3293 (1968); Ginzburg V L and M I Kaganov Sov. Phys. Solid State 10 2603 (1968)
  117. Larkin A I and D E Khmel’nitski&ibreve; Zh. Eksp. Teor. Fiz. 56 2087 (1969); Larkin A I and D E Khmel’nitski&ibreve; Sov. Phys. JETP 29 1123 (1969)
  118. De Jong L J and A R Miedema Adv. Phys. 23 1 (1974)
  119. Steiner H, J Villain, C G Winsdor Adv. Phys. 25 87 (1976)

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