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Issue 9, 2026
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1992

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May

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Reviews of topical problems


Polarons in high-temperature superconductors

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The review deals with the main results of a consistent study of electron-lattice interaction in crystals in the strong-coupling limit. Small polaron and bipolaron formation is shown to provide a number of new physical phenomena both in the normal and superconducting states of the system. Two mechanisms of superconductivity are discussed in detail. The first one arises from the Cooper pairing of small polarons in momentum space (polaron superconductivity). The second one is due to polaron pairing in real space leading to on-site or intersite bipolaron formation with superconductivity analogous to the superfluidity of $^4$He (bipolaron superconductivity). Highly non-adiabatic motion of (bi)polarons in the narrow band results in fundamental differences of their superconducting state properties with respect to the predictions of the BCS theory and its well known strong-coupling generalization. A number of basic properties of high-temperature metallic oxides being analyzed in terms of (bi)polaron theory of superconductivity is shown to reveal a satisfactory agreement of its findings with the available experimental data.

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Fulltext is also available at DOI: 10.1070/PU1992v035n05ABEH002235
PACS: 71.38.Mx, 74.20.Fg, 74.72.−h, 74.25.Kc, 74.25.Op (all)
DOI: 10.1070/PU1992v035n05ABEH002235
URL: https://ufn.ru/en/articles/1992/5/a/
Citation: Alexandrov A S, Krebs A B "Polarons in high-temperature superconductors" Sov. Phys. Usp. 35 (5) 345–383 (1992)
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Оригинал: Александров А С, Кребс А Б «Поляроны в высокотемпературных сверхпроводниках» УФН 162 (5) 1–85 (1992); DOI: 10.3367/UFNr.0162.199205a.0001

References (142) ↓ Cited by (91) Similar articles (20)

  1. Bednorz J G, Muller K A Z. Phys. B 64 189 (1986)
  2. ’a’?’?’?’?’? ’B.’G. Zh. Eksp. Teor. Fiz. 34 1438 (1958)
  3. ’e’?’?’?sh’?’?р’? ’I.’a. Zh. Eksp. Teor. Fiz. 38 366 (1960); ’e’?’?’?sh’?’?р’? ’I.’a. Zh. Eksp. Teor. Fiz. 39 1437 (1960)
  4. Scalapino D J Superconductivity 1 (New York: Academic Press) 449 (1969)
  5. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’Iр’?’?’?’?’?’? ’E.’v., ’a’?’?ур E.A. ’z’?сь’?’? Zh’e’n’s 45 357 (1987)
  6. ’B’?р’?’?’?с’?’? ’B.’B., ’I’?рь’?’?’? ’’.’z., ’K’?ya’?’?sh’?’?с’?’?’? ’R.’M. ’a’?т’?’?ы ’?’?’?’?т’?’?’?’? т’?’?р’?’? ’?’?’?ya ’? ст’?т’?ст’?ch’?с’?’?’? ф’?’?’?’?’? (’a.: ’s’?’?’?’?т’?’?’?, 1962)
  7. Alexandrov A., Ranninger J. Phys. Rev. B 23 1796 (1981)
  8. Alexandrov A., Ranninger J. Phys. Rev. B. 24 1164 (1981)
  9. ’B’?’?’?с’?’?’?р’?’? ’B.’l. Zh’sKh 57 273 (1983)
  10. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’F’?’?’?’?’?’? ’E.’E. Fiz. Tverd. Tela 28 1129 (1986)
  11. Alexandrov A., Ranninger J., Robaszkiewicz S. Phys. Rev. Lett. 56 949 (1986); Alexandrov A., Ranninger J., Robaszkiewicz S. Phys. Rev. B 33 4526 (1986)
  12. ’B’?’?’?с’?’?’?р’?’? ’B.’l. ’z’?сь’?’? Zh’e’n’s 46 128 (1987), ’?р’?’?’?zh’?’?’?’?; ’B’?’?’?с’?’?’?р’?’? ’B.’l. Zh. Eksp. Teor. Fiz. 95 296 (1989)
  13. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’l’?’?’?рch’?’?’?’? ’K.’B., ’nр’?’?’?’?ь ’l.B. Zh. Eksp. Teor. Fiz. 93 1007 (1987)
  14. Alexandrov A S Phys. Rev. B 38 925 (1988)
  15. Alexandrov A S Physica C 158 337 (1989); Alexandrov A S Studies Of High Temperature Superconductors Vol. 6 (Ed. A V Narlikar) (New Delhi, 1990) p. 195
  16. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’a’?’?ур E.’B.r Zh. Eksp. Teor. Fiz. 96 1773 (1989)
  17. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’Fр’?’?с ’B.’G. ’z’?сь’?’? Zh’e’n’s 50 280 (1989)
  18. Landau L D Phys. Z. Sowjetunion 3 664 (1933)
  19. ’z’?’?’?р ’l.’R. ’Rсс’?’?’?’?’?’?’?’?ya ’?’? э’?’?’?тр’?’?’?’?’? т’?’?р’?’? ’?р’?ст’?’?’?’?’? (’a.: ’I’?ст’?kh’?’?’?’?т, 1951)
  20. ’s’?рс’?’? Yu ’B (’i’?’?.) ’z’?’?yaр’?’?ы (’a.: ’v’?у’?’?, 1975)
  21. Whitfield C G (Ed.) Polarons And Excitons (Edinburgh: Oliver and Boyd, 1963)
  22. Devreese J T (Ed.) Polarons In Ionic Crystals And Polar Semiconductors (Amsterdam: North-Holland, 1972)
  23. Mott N Nature 327 185 (1987)
  24. de Jongh L J Physica C 152 171 (1988)
  25. Prelovsek P., Rice T.M., Zhang F.C. J. Phys. C 20 L229 (1987)
  26. Ray D K Philos. Mag. Lett. 55 271 (1987)
  27. Kamimura H Jpn. J. Appl. Phys. 26 L627 (1987)
  28. Micnas R., Ranninger J., Robaszkiemcz S. Rev. Mod. Phys. 62 113 (1990)
  29. Feynman R P Phys. Rev. 97 660 (1955)
  30. ’i’?sh’?’? ’e.’R. ’e’?с’?т’?’?ы (’z’?’? р’?’?. ’e.’R. ’i’?sh’?ы, ’a.’E. ’lт’?р’?zh’?) (’a.: ’v’?у’?’?, 1985) p. 385
  31. Emin D., Holstein ’n. Phys. Rev. Lett. 36 323 (1976)
  32. ’B’?’?’?с’?’?’?р’?’? A.C., ’Fр’?’?с ’B.’G. ’zр’?’?р’?’?т ’a’R’s’R 018-88 (’a’?с’?’?’?, 1988)
  33. Farrel D.E., Chandrasekhar B.S. Phys. Rev. Lett. 38 788 (1977)
  34. Birnboim A., Gutfreund H. Phys. Rev. B 9 139 (1974)
  35. ’z’?’?’?’? ’B.’I. ’s’v’n 12 709 (1986)
  36. Hubbard J Proc. R. Soc. London A 276 238 (1963)
  37. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’M’?’?с’?’? ’E.’s. Fiz. Tverd. Tela 25 456 (1983)
  38. ’G’?’?’?’?’?’?’?’? ’E.’v., ’Fу’?’?’?’?’? ’M.’F., ’s’?рс’?’? Yu.’B. Fiz. Tverd. Tela 9 3175 (1967)
  39. Bosman A.J., van Daal H.J. Adv. Phys. 19 (77) 1 (1970)
  40. Eagles D M Phys. Rev. 181 1278 (1969)
  41. Anderson P W Phys. Rev. Lett. 34 953 (1975)
  42. Lakkis S., Schlenker C., Chakraverty B.K., Buder R. Phys. Rev. B 14 1429 (1976)
  43. Schlenker C., Ahmed S., Buder R., Gourmala M. J. Phys. C 12 3503 (1979)
  44. Chakraverty B.K., Sienko M.J., Bonnerot J. Phys. Rev. B 17 3781 (1978)
  45. Schirmer O.F., Salje E. J. Phys. C 13 L1067 (1980)
  46. Ch’?р’?’?’? ’R.’B., ’’ы’?’?’? ’l.’v., ’Iр’?ch’?’? ’v.’R. Fiz. Tverd. Tela 24 2991 (1982)
  47. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’M’?’?с’?’? ’E.’s., ’F’?’?’?’?’?’? ’E.’E. Zh. Eksp. Teor. Fiz. 86 1937 (1984)
  48. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’M’?’?с’?’? ’E.’s. Izv. Akad. Nauk SSSR. Fiz. 49 326 (1985)
  49. Rice T.M., Sneddon L. Phys. Rev. Lett. 47 689 (1981)
  50. ’G’?’?’?’?рts ’R.’I., ’ayu’?’?’?р ’F. ’B. Usp. Fiz. Nauk 156 323 (1988)
  51. Rice T M Superconductivity In Magnetic And Exotic Materials (Eds T Matsubara, A Kotani) (Berlin: Springer-Verlag, 1984) p. 178
  52. Holstein T Ann. Physics 8 325 (1989); Holstein T Ann. Physics 8 343 (1989)
  53. Gogolin A A Phys. Status Solidi B 109 95 (1982)
  54. Eagles D M Phys. Rev. 145 645 (1966)
  55. Emin D Adv. Phys. 22 57 (1973)
  56. De Raedt H., Lagendijk A. Phys. Rev. B 27 6097 (1983); De Raedt H., Lagendijk A. Phys. Rev. B 30 1671 (1984)
  57. De Raedt H., Lagendijk A. Phys. Rep. 127 233 (1985)
  58. Miynke K et al. Prog. Theor. Phys. 72 1063 (1984)
  59. Clogston A.M., Jaccarino V. Phys. Rev. 121 1357 (1961)
  60. Kanamori J Prog. Theor. Phys. 30 275 (1963)
  61. Alexandrov A., Capellmann H. Phys. Rev. B 43 2042 (1991)
  62. ’’’?’?’? ’R.’I., ’s’?рс’?’? Yu.A. Zh. Eksp. Teor. Fiz. 43 1843 (1962)
  63. Alexandrov A S Physica C 191 115 (1992)
  64. Matsubara ’n., Matsuda A. Prog. Theor. Phys. 16 569 (1956)
  65. ’F’?b’? ’F., Takada S. J. Phys. Soc. Jpn. 52 2108 (1983)
  66. Robaszkiewicz S., Micnas R., Chao K.A. Phys. Rev. B 23 1447 (1981); Robaszkiewicz S., Micnas R., Chao K.A. Phys. Rev. B 24 1579 (1981)
  67. Makarov E.F., Amelin I.I., Ionov S.P. Phys. Status Solidi B 71 135 (1975)
  68. Ionov S P et al. Phys. Status Solidi B 72 515 (1975)
  69. ’Fу’?’?’? ’R.’d., ’z’?’?’?’? ’B.’I. Zh. Eksp. Teor. Fiz. 79 1469 (1980)
  70. ’Fу’?’?’? ’R.’d., ’z’?’?’?’? ’B.’I. ’s’v’n 9 256 (1983)
  71. Haley S.B., Erdos P. Phys. Rev. B 5 1106 (1972)
  72. Haley S B Phys. Rev. B 17 337 (1978)
  73. ’nya’?’?’?’?’?’? ’l.’E. ’a’?т’?’?ы ’?’?’?’?т’?’?’?’? т’?’?р’?’? ’?’?’?’?’?т’?’?’?’? (’a.: ’v’?у’?’?, 1975)
  74. Oguchi T J. Phys. Soc. Jpn. 30 988 (1971)
  75. ’B’?р’?’?’?’?’?ch B.M. ’n’?’?р’?ya э’?с’?т’?’?’?’? (’a.: ’v’?у’?’?, 1968)
  76. ’’’?фsh’?ts ’M.’a., ’z’?т’?’?’?с’?’?’? ’’.’z. ’lт’?т’?ст’?ch’?с’?’?ya ф’?’?’?’?’? Т. 2 (’a.: ’v’?у’?’?, 1978)
  77. Schafroth M R Phys. Rev. 100 463 (1955)
  78. Kubo R., Miyake S.J., Hashitsume N. Solid State Phys. 17 169 (1965)
  79. ’B’?’?’?с’?’?’?’?’?’? ’B.’l., ’M’?’?с’?’? ’E.’s. Fiz. Tekh. Poluprovodn. 8 111 (1974)
  80. Nasu K Phys. Rev. B 35 1748 (1987); Nasu K Phys. Rev. B 37 5075 (1988)
  81. Cooper S L et al. Phys. Rev. B 37 5920 (1988)
  82. Thomsen C et al. Phys. Rev. B 37 9860 (1988)
  83. Krantz M et al. Phys. Rev. B 38 4992 (1988)
  84. Zeyher R., Zmcknagl G. Z. Phys. B 78 175 (1990)
  85. Reichardt W et al. Proc. of Int. Conf. on Neutron Scatt. Grenoble, France, 1988 (1988)
  86. Loye H-C et al. Science 238 1558 (1987)
  87. Crawford M K et al. Phys. Rev. B 41 282 (1990)
  88. Kondoh S et al. Physica C 157 469 (1989)
  89. Franck J P et al. Physica C 162-164 753 (1989)
  90. Otts K Superconductivity News 1 7 (1988)
  91. Rietshel H., Pintschovious L., Reichardt W. Physica C 162-164 1705 (1989)
  92. Chen C Y et al. Physica C 162-164 1031 (1989)
  93. Foster C M et al. Solid State Commun. 71 945 (1989)
  94. Ya’?с’?’? ’R.’F. ’? ’?р. ’s’v’n 13 557 (1987)
  95. ’a’?elli D.T., Heremans J., Swets D.E. Phys. Rev. B 36 3917 (1987)
  96. Aeppli G et al. Phys. Rev. B 35 7129 (1987)
  97. Batlogg B Physica B+C 126 275 (1984)
  98. Monod P., Dubois ’E., Odier P. Physica C 153-155 1489 (1988)
  99. Coopers J R et al. Physica C 153-155 1491 (1988)
  100. Reeves M.E., Friedman T.A., Ginsberg D.M. Phys. Rev. B 35 7207 (1987)
  101. Nevitt M.V., Grabtree G.W., Klippert ’n.’M. Phys. Rev. B 36 2398 (1987)
  102. Thomas G A et al. Phys. Rev. Lett. 61 1313 (1988)
  103. Yu R C et al. Phys. Rev. B 37 7963 (1988)
  104. Pan S et al. Phys. Rev. B 35 7220 (1987)
  105. Kirtley J R et al. Jpn. J. Appl. Phys. 26 997 (1987)
  106. Hawley M E et al. Phys. Rev. B 35 7224 (1987)
  107. Kirk M D et al. Phys. Rev. B 35 8850 (1987)
  108. Kirtley J R et al. Phys. Rev. B 35 7216 (1987)
  109. Grommie M F et al. Phys. Rev. B 35 8853 (1987)
  110. Naito M et al. Phys. Rev. B 35 7228 (1987)
  111. Flensberg K., Hedegard P., Brix M. Phys. Rev. B 38 841 (1988)
  112. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’F’?’?’?’?’? ’a.’z. ’zр’?’?’?’?’?ы ’?ыс’?’?’?т’?’?’?’?р’?тур’?’?’? с’?’?рkh’?р’?’?’?’?’?’?’?ст’? (’l’?’?р’?’?’?’?с’?: ’R’?’?-’?’? ’pр’d ’B’v ’l’l’l’i, 1987) с. 153
  113. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’F’?’?’?’?’? ’a.’z., ’iу’?’?’? ’l.’I. Zh. Eksp. Teor. Fiz. 98 1656 (1990)
  114. Geerk J., Xi X.X., Linker G. Z. Phys. B 73 329 (1989)
  115. Imer J M et al. Phys. Rev. Lett. 62 336 (1989)
  116. Collins R T et al. Phys. Rev. Lett. 65 801 (1990)
  117. Orenstein J et al. Phys. Rev. B 42 6342 (1990)
  118. van der Marel D et al. Phys. Rev. B 43 8606 (1991)
  119. Demuth J E et al. Phys. Rev. Lett. 64 603 (1990)
  120. Cooper J R et al. Phys. Rev. B 37 638 (1988)
  121. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’nр’?’?’?’?ь ’l.’E. ’z’?сь’?’? Zh’e’n’s 48 426 (1988)
  122. Inderhees S E et al. Phys. Rev. Lett. 60 1170 (1988)
  123. Salamon M B et al. Phys. Rev. B 38 885 (1988)
  124. Worthington T K et al. Physica C 153-155 33 (1988)
  125. Uemura Y J et al. Phys. Rev. B 38 909 (1988); Seaman C L et al. Physica C 159 391 (1989)
  126. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’nр’?’?’?’?ь ’l.’E.o Physica B 165-166 1041 (1990)
  127. ’B’?’?’?с’?’?’?р’?’? ’B.’l., ’l’?’?’?рch’?’?’?’? ’K.’B. Zh. Eksp. Teor. Fiz. 99 574 (1991)
  128. Welp U et al. Phys. Rev. Lett. 62 1908 (1989)
  129. Kwok W K et al. Phys. Rev. Lett. 67 390 (1991)
  130. Uchida S Bull. Am. Phys. Soc. 33 507 (1988)
  131. Wijngaarden R.J., Griessen R. Studies Of High Temperature Superconductors Vol. 2 (Ed. A V Narlikar) (New Delhi, 1990)
  132. Anderson P W Science 235 1196 (1987)
  133. Alexandrov A., Ranninger J. Physica C 159 367 (1989)
  134. Bishop D J et al. Phys. Rev. B 35 8788 (1987); Bishop D J et al. Phys. Rev. B 36 2408 (1987)
  135. Bhattacharya S et al. Phys. Rev. B 37 5901 (1988)
  136. Migliori A et al. Solid State Commun. 63 827 (1987)
  137. Kim Y H et al. Phys. Rev. B 36 7252 (1987)
  138. Kim Y H et al. Phys. Rev. B 38 6478 (1988)
  139. Ginder J M et al. Phys. Rev. B 37 7506 (1988)
  140. Taliani C et al. Solid State Commun. 66 487 (1988)
  141. Chakraverty B.K., Avingnon M., Feittberg D. J. Less-Common Met. 150 11 (1989)
  142. Alexandrov A.S., Ray D.K. Philos. Mag. Lett. 63 295 (1991)
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