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Reviews of topical problems


Strongly correlated electrons: the t-J model


Mikheev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, S Kovalevskoi str. 18, Ekaterinburg, 620108, Russian Federation

A systematic study is made of the t-J model as a working model for copper oxide high-Tc superconductors. The main focus is on the near-half- filling region (low hole concentrations) relevant to these materials. The theory of the magnetic polaron, which is a charge carrier traveling in an antiferromagnetic matrix, and the theory of antiferromagnetic ordering are discussed in a unified framework. The spin liquid state beyond the antiferromagnetic phase is examined. The Hamiltonian parameters — hole concentration phase diagram for the model is described and compared with that for the Hubbard model in the strong correlation limit. Two extensions of the t-J model, the t-t’-J model and the three-center interaction model, are discussed. Mostly analityc strong correlation techniques are employed in this review.

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Fulltext is also available at DOI: 10.1070/PU1997v040n05ABEH000234
PACS: 71.27.+a, 74.90.+n, 75.10.Lp (all)
DOI: 10.1070/PU1997v040n05ABEH000234
URL: https://ufn.ru/en/articles/1997/5/a/
A1997XJ11200001
Citation: Izyumov Yu A "Strongly correlated electrons: the t-J model" Phys. Usp. 40 445–476 (1997)
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Оригинал: Изюмов Ю А «Сильно коррелированные электроны: t-J-модель» УФН 167 465–497 (1997); DOI: 10.3367/UFNr.0167.199705a.0465

References (185) ↓ Cited by (127) Similar articles (20)

  1. Hubbard J Proc. R. Soc. London Ser. A 276 238 (1963)
  2. Hubbard J Proc. R. Soc. London Ser. A 281 401 (1964)
  3. Izyumov Yu A Usp. Fiz. Nauk 165 403 (1995) [Phys. Usp. 38 385 (1995)]
  4. Herring C, in Magnetism IV (Eds G T Rado, H Suhl, New York: Academic, 1966)
  5. Anderson P W Phys. Rev. 115 2 (1959)
  6. Anderson P W Science 235 1196 (1987)
  7. Dagotto E Rev. Mod. Phys. 66 763 (1994)
  8. Zhang F C, Rice T M Phys. Rev. B 37 3759 (1988)
  9. Izyumov Yu A Usp. Fiz. Nauk 161 (11) 1 (1991) [Sov. Phys. Usp. 34 935 (1991)]
  10. Harris A B, Lange R V Phys. Rev. 157 295 (1967)
  11. Chao K A, Spalek J, Oles A M J. Phys. C 10 L271 (1977)
  12. Gros C, Joynt R, Rice T M Phys. Rev. B 36 381 (1987)
  13. Hubbard J Proc. R. Soc. London Ser. A 285 542 (1965); 296 82 (1967)
  14. Barnes S E J. Phys. F 6 1375 (1976); 7 2637 (1977)
  15. Coleman P Phys. Rev. B 29 3035 (1984)
  16. Read N, Newns D M J. Phys. C 16 3273 (1983)
  17. Kotliar G, Ruckenstein A E Phys. Rev. Lett. 57 1362 (1986)
  18. Lee P A, Nagaosa N Phys. Rev. B 46 5621 (1992)
  19. Zou Z, Anderson P W Phys. Rev. B 37 627 (1988)
  20. Richard J L, Yushankhai V Yu Phys. Rev. B 47 1103 (1993)
  21. Wang Y R, Rice M J Phys. Rev. B 49 4360 (1994)
  22. Khaliullin G Pis’ma Zh. Eksp. Teor. Fiz. 52 999 (1990) [JETP Lett. 52 389 (1990)]
  23. Wang Y R Phys. Rev. B 51 234 (1995)
  24. Loos J Phys. Rev. B 53 12556 (1996)
  25. Chang Z Phys. Rev. B 53 1171 (1996)
  26. Le Guillou J C, Ragoucy E Phys. Rev. B 52 2403 (1995)
  27. Arrigoni E, Strinati G C Phys. Rev. B 52 2428 (1995)
  28. Bulaevskiî L N, Khomskiî D I Zh. Eksp. Teor. Fiz. 52 1603 (1967) [Sov. Phys. JETP 25 1067 (1967)]
  29. Bulaevskiî L N, Nagaev É L, Khomskiî D I Zh. Eksp. Teor. Fiz. 54 1562 (1968) [Sov. Phys. JETP 27 836 (1968)]
  30. Brinkman W F, Rice T M Phys. Rev. B 2 1324 (1970)
  31. Metzner W, Schmit P, Vollhardt D Phys. Rev. B 45 2237 (1992)
  32. Metzner W, Vollhardt D Phys. Rev. Lett. 62 324 (1989)
  33. Strack R, Vollhardt D Phys. Rev. B 46 13852 (1992)
  34. Mohan M M J. Phys.: Condens. Matter 3 4307 (1991)
  35. Dagotto E et al. Phys. Rev. B 41 9049 (1990)
  36. Vlaming R, Vollhardt D Phys. Rev. B 45 4637 (1992)
  37. Lifshitz I M Adv. Phys. 13 483 (1964)
  38. Horsch P et al. Physica C 162-164 783 (1989)
  39. Horsch P Helv. Phys. Acta 63 346 (1990)
  40. Trugman S A Phys. Rev. B 41 892 (1990)
  41. von Szczepanski K J et al. Phys. Rev. B41 2017 (1990)
  42. Sega I, Prelovsek P Phys. Rev. B 42 892 (1990)
  43. Dagotto E, Riera J Phys. Rev. Lett. 70 682 (1993)
  44. Inoue J, Maekawa S J. Phys. Soc. Jpn. 59 2110 (1990)
  45. Liu Z, Manousakis E Phys. Rev. B 45 2425 (1992)
  46. Marsiglio F et al. Phys. Rev. Bf43 10882 (1991)
  47. Kane C L, Lee P A, Read N Phys. Rev. B 39 6880 (1989)
  48. Martinez G, Horsch P Phys. Rev. B 44 317 (1991)
  49. Plakida N M, Oudovenko V S, Yushankhai V Yu Phys. Rev. B 50 6431 (1994)
  50. Richard J L, Yushankhai V Yu Phys. Rev. B 50 12927 (1994)
  51. Richard J L, Yushankhai V Yu Phys. Rev. B 47 1103 (1993)
  52. Jian-Xin Li, Chang-De Gong Phys. Rev. B 51 6343 (1995)
  53. Igarashi J, Fulde P Phys. Rev. B 45 12357 (1992)
  54. Khaliullin G, Horsch P Phys. Rev. B 47 463 (1993)
  55. Schmitt-Rink S, Varma C M, Ruckenstein A E Phys. Rev. Lett. 60 2793 (1988)
  56. Tserkovnikov Yu A Teor. Mat. Fiz. 7 250 (1971); 49 219 (1981) [Theor. Math. Phys. 49 993 (1981)]
  57. Ramsak A, Horsch P Phys. Rev. B 48 10559 (1993)
  58. de Alcantara Bonfim O F, Reiter G, in High Temperature Superconductivity (Eds J Ashkenazi et al., New York: Plenum Press, 1991)
  59. Igarashi J, Fulde P Phys. Rev. B 48 998 (1993)
  60. Sherman A, Schreiber M Phys. Rev. B 48 7492 (1993)
  61. Varma C M et al. Phys. Rev. Lett. 63 1996 (1989)
  62. Nagaev É L Zh. Eksp. Teor. Fiz. 54 228 (1968) [Sov. Phys. JETP 27 122 (1968)]
  63. Nagaev î L Fizika Magnitnykh Poluprovodnikov (The Physics of Magnetic Semiconductors, Moscow: Nauka, 1979)
  64. Sabczynski J, Schreiber M, Sherman A Philos. Mag. B 65 881 (1992)
  65. Sabczynski J, Schreiber M, Sherman A Phys. Rev. B 48 543 (1993)
  66. Nagaoka Y Phys. Rev. 147 392 (1966)
  67. Pines D, in Polarons and Excitons (Eds C G Kuper, D Wkitfield, Edinburgh: Oliver and Boyd, 1962)
  68. Barentzen H Phys. Rev. B 53 5598 (1996)
  69. Barentzen H Z. Phys. B 94 161 (1994)
  70. Barentzen H, Wrobel P Z. Phys. B 93 375 (1994)
  71. Dagotto E, Nazarenko A, Boninsegni M Phys. Rev. Lett. 73 728 (1994)
  72. Bulut N, Scalapino D J, White S R Phys. Rev. B 50 7215 (1994)
  73. Tanamoto T, Kohno H, Fukuyama H J. Phys. Soc. Jpn. 62 717 (1993)
  74. Benard P, Chen L, Tremblay A M S Phys. Rev. B 47 15217 (1993)
  75. Si Q et al. Phys. Rev. B 47 9055 (1993)
  76. Lee P A Phys. Rev. Lett. 63 680 (1989)
  77. Tohyama T, Maekawa S Phys. Rev. B 49 3596 (1994)
  78. Gooding R J, Vos K J E, Leung P W Phys. Rev. B 50 12866 (1994)
  79. Lavagna M, Stemmann G Phys. Rev. B 49 4235 (1994)
  80. Bala J, Oles A M, Zaanen J Phys. Rev. B 52 4597 (1995)
  81. Deeg M, Fehske H, Buttner H Europhys. Lett. 26 109 (1994)
  82. Deeg M, Fehske H Phys. Rev. B 50 17874 (1994)
  83. Deeg M et al. Z. Phys. B 95 87 (1994)
  84. Chubukov A V, Musaelian K A Phys. Rev. B 50 6238 (1994)
  85. Lin H Q, Hirsch J E Phys. Rev. B 35 3359 (1987)
  86. Duffy D, Moreo A Phys. Rev. B 52 15607 (1995)
  87. Kotliar G, Ruckenstein A E Phys. Rev. Lett. 57 1362 (1986)
  88. Li T, Wolfle P, Hirschfeld P J Phys. Rev. B 40 6817 (1989)
  89. Horsch P, Stephan W Phys. Rev. B 48 10595 (1993)
  90. Belinicer V I, Chernyshew A L, Shubin V A Phys. Rev. B 53 335 (1996)
  91. Eskes H, Oles A M Phys. Rev. Lett. 73 1279 (1994)
  92. Tyablikov S V Metody Kvantovoî Teorii Magnetizma (Methods in the Quantum Theory of Magnetism, Moscow: Nauka, 1964) [Translated into English (New York: Plenum Press, 1967)]
  93. Richard J L, Yushankhai V Yu Physica C 235-240 2193 (1994)
  94. Rossat-Mignot J et al. Physica C 185-189 86 (1991)
  95. Shirane G Physica C 185-189 80 (1991)
  96. Belkasri A, Richard J L Phys. Rev. B 50 12896 (1994)
  97. Sherman A, Schreiber M Phys. Rev. B 50 12887 (1994)
  98. Onufrieva F P, Kushnir V P, Toperverg B P Phys. Rev. B 50 12935 (1994)
  99. Tusch M A, Szczech Y H, Logan D E Phys. Rev. B 53 5505 (1996)
  100. Ioffe L B, Larkin A I Int. J. Mod. Phys. B 2 203 (1988)
  101. Ioffe L B, Larkin A I Phys. Rev. B 39 8988 (1989)
  102. Grilli M, Kotliar G Phys. Rev. Lett. 64 1170 (1990)
  103. Nagaosa N, Lee P A Phys. Rev. Lett. 64 2450 (1990)
  104. Lee P A, Nagaosa N Phys. Rev. B 46 5621 (1992)
  105. Liu Yu-Liang, Su Zhao-Bin Phys. Rev. B 48 13018 (1993)
  106. Ioffe L B, Kalmeyer V Phys. Rev. B 44 750 (1991)
  107. Ioffe L B, Wiegmann P Phys. Rev. Lett. 65 653 (1990)
  108. Ioffe L B, Kotliar G Phys. Rev. B 42 10348 (1990)
  109. Wen X G, Wilczek F, Zee A Phys. Rev. B 39 11413 (1989)
  110. Tanamoto T, Kuboki K, Fukuyama H J. Phys. Soc. Jpn. 60 3072 (1991)
  111. Sa de Melo C A R, Wang Z, Doniach S Phys. Rev. Lett. 68 2078 (1992)
  112. Raykin M Phys. Rev. B 51 3856 (1995)
  113. Tikofsky A M, Laughlin R B Phys. Rev. B 50 10165 (1994)
  114. Baskaran G, Anderson P W Phys. Rev. B 37 580 (1988)
  115. Nagaev É L Zh. Eksp. Teor. Fiz. 54 228 (1968) [Sov. Phys. JETP 27 122 (1968)]
  116. Visscher P B Phys. Rev. B 10 943 (1974)
  117. Ioffe L B, Larkin A I Phys. Rev. B 37 5730 (1988)
  118. Emery V J, Kivelson S A, Lin H Q Phys. Rev. Lett. 64 475 (1990)
  119. Putikka W O, Luchini M, Rice T M Phys. Rev. Lett. 68 538 (1992)
  120. Dagotto E et al. Phys. Rev. B 45 10741 (1992)
  121. Fehske H et al. Phys. Rev. B 44 8473 (1991)
  122. Prelovsek P, Zotos X Phys. Rev. B 47 5984 (1993)
  123. Poilblanc D Phys. Rev. B 52 9201 (1995)
  124. Hasegawa Y, Poilblanc D Phys. Rev. B 40 9035 (1989)
  125. Poilblanc D, Riera J, Dagotto E Phys. Rev. B 49 12318 (1994)
  126. Poilblanc D Phys. Rev. Bb49 1477 (1994)
  127. Chernyshev A L, Dotsenko A V, Sushkov O P Phys. Rev. B 49 6197 (1994)
  128. Sushkov O P Solid State Commun. 83 303 (1992)
  129. Eder R Phys. Rev. B 45 319 (1992)
  130. Putikka W O, Luchini M U, Ogata M Phys. Rev. Lett. 69 2288 (1992)
  131. Hellberg C S, Manousakis E Phys. Rev. B 52 4639 (1995)
  132. Kagan M Yu, Rice T M J. Phys.: Condens. Matter 6 3771 (1994)
  133. Chubukov A V Phys. Rev. B 48 1097 (1993)
  134. Marder M, Papanicolaou N, Psaltakis G C Phys. Rev. B 41 6920 (1990)
  135. Angelucci A, Sorella S Phys. Rev. B 47 8858 (1993)
  136. Psaltakis G C, Papanicolaou N Phys. Rev. B 48 456 (1993)
  137. Shraiman B T, Siggia E D Phys. Rev. Lett. 62 1564 (1989)
  138. Trapper U, Ihle D, Fehske H Phys. Rev. B 52 R11553 (1995)
  139. Kotliar G, Ruckenstein A E Phys. Rev. Lett. 57 1362 (1986)
  140. Zhou C, Schulz H J Phys. Rev. B 52 R11557 (1995)
  141. Yoshioka D J. Phys. Soc. Jpn. 58 1516 (1989)
  142. Jayaprakash C, Krishnamurthy H R, Sarker S Phys. Rev. B 40 2610 (1989)
  143. Flensberg K et al. Phys. Rev. B 40 850 (1989)
  144. Chakraborty B et al. Phys. Rev. B 42 4819 (1990)
  145. Scalettar R T et al. Phys. Rev. B39 4711 (1989)
  146. Hirsch J E Phys. Rev. B 35 1851 (1987)
  147. Puig-Puig L, Lopez-Aguilar F Phys. Rev. B 52 17143 (1995)
  148. Abrahams E et al. Phys. Rev. B52 1271 (1995)
  149. Mierzejewski M, Zielinski J Phys. Rev. B 52 3079 (1995)
  150. Batista C D, Lema F, Aligia A A Phys. Rev. B 52 6223 (1995)
  151. Altshuler B L, Ioffe L B, Millis A J Phys. Rev. B 53 415 (1996)
  152. Belinicher V I et al. Phys. Rev. B 51 6076 (1995)
  153. Quinlan S M, Hirschfeld P J, Scalapino D J Phys. Rev. B 53 8575 (1996)
  154. Brawner D A, Ott H R Phys. Rev. B 53 8249 (1996)
  155. Maly J, Liu D Z, Levin K Phys. Rev. B 53 6786 (1996)
  156. Franz M et al. Phys. Rev. B 53 5795 (1996)
  157. Radtke R J et al. Phys. Rev. B 53 5137 (1996)
  158. Beal-Monod M T, Maki K Phys. Rev. B 53 5775 (1996)
  159. Xu J H, Ren Y, Ting C S Phys. Rev. B 53 R2991 (1996)
  160. Nazarenko A, Dagotto E Phys. Rev. B 53 R2987 (1996)
  161. Zeyher R, Kulic M L Phys. Rev. B 53 2850 (1996)
  162. Normand B, Kohno H, Fukuyama H Phys. Rev. B 53 856 (1996)
  163. Tanaka Y, Kashiwaya S Phys. Rev. B 53 R11957 (1996)
  164. Shimahara H, Matsuo S, Nagai K Phys. Rev. B 53 12284 (1996)
  165. Xu W, Ren Y, Ting C S Phys. Rev. B 53 12481 (1996)
  166. Hayn R et al. Phys. Rev. B 53 11714 (1996)
  167. Kuklov A B, Krakovsky A, Birman J L Phys. Rev. B 52 R7002 (1995)
  168. Hwang E H, Das Sarma S Phys. Rev. B 52 R7010 (1995)
  169. Xu J H, Ren Y, Ting C S Phys. Rev. B 52 7663 (1995)
  170. Bulut N, Scalapino D J Phys. Rev. B 53 5149 (1996)
  171. Onufrieva F, Rossat-Mignod J Phys. Rev. B 52 7572 (1995)
  172. Carbotte J P et al. Phys. Rev. B 51 11798 (1995)
  173. Nazarenko A et al. Phys. Rev. B 54 R768 (1996)
  174. Heeb R et al. Phys. Rev. B 54 9385 (1996)
  175. Terrmann T, Nolting W Phys. Rev. B 53 10579 (1996)
  176. Sushkov O P Phys. Rev. B 54 9988 (1996)
  177. Khaliullin G, Horsch Phys. Rev. B 54 R9600 (1996)
  178. Change Z Phys. Rev. B 54 10046 (1996)
  179. Zeyher R, Kulic M L Phys. Rev. B 54 8985 (1996)
  180. Bala J, Oles A M, Zaanen J Phys. Rev. B 54 10161 (1996)
  181. Izyumov Yu A, Katsnel’son M I, Skryabin Yu N Magnetizm Kollektivizirovannykh Elektronov (Itinerant Electron Magnetism, Moscow: Fizmatlit, 1994)
  182. Izyumov Yu A, Letfulov B M J. Phys.: Condens. Matter. 2 8905 (1990)
  183. Izyumov Yu A, Letfulov B M, Shipitsyn E V J. Phys.: Condens. Matter. 4 9955 (1992)
  184. Izyumov Yu A, Letfulov B M, Shipitsyn E V J. Phys.: Condens. Matter. 6 5137 (1994)
  185. Izyumov Yu A, Henderson J A Int. J. Mod. Phys. B 8 1877 (1994)
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