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1997

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Quasiparticles in strongly correlated electron systems in copper oxides


L.V. Kirenskii Institute of Physics, Siberian Branch of the Russian Academy of Sciences, Academgorodok 50, stroenie 38, Krasnoyarsk, 660036, Russian Federation

New experimental and theoretical results on the electronic structure and spectral properties of quasiparticles in copper oxides are reviewed. It is shown that the electronic structure transforms from antiferromagnetic insulators to optimally doped high-temperature superconductors as the doping level is varied. The experimental methods considered are primarily angular resolved photoelectron spectroscopy (ARPES), neutron scattering, and NMR. Two types of electronic structure calculations for data interpretation purposes are considered, namely, exact numerical methods for finite clusters (exact diagonalization and the quantum Monte Carlo method) and approximate schemes for an infinite lattice. As a result, a coherent unified picture emerges, in which magnetic polarons (which are carriers in a weakly doped antiferromagnetic lattice) transform into a system of Fermi quasiparticles dressed in short-range antiferromagnetic-type spin fluctuations. In the region of weakly doped metallic compositions, deviations from Fermi-liquid properties are seen, such as the failure of Luttinger’s theorem, shadowy photoemission bands, and the spin pseudogap effect in spectral and thermodynamic measurements. The situation in the neighborhood of the insulator-metal concentration transition is noted to be least understood.

Fulltext is available at IOP
PACS: 71.27.+a, 74.25.Jb (all)
DOI: 10.1070/PU1997v040n10ABEH000289
URL: https://ufn.ru/en/articles/1997/10/b/
Citation: Ovchinnikov S G "Quasiparticles in strongly correlated electron systems in copper oxides" Phys. Usp. 40 993–1017 (1997)
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Оригинал: Овчинников С Г «Квазичастицы в сильно коррелированной электронной системе оксидов меди» УФН 167 1043–1068 (1997); DOI: 10.3367/UFNr.0167.199710b.1043

References (225) ↓ Cited by (44) Similar articles (20)

  1. Mott N F Proc. Phys. Soc. A 62 416 (1949)
  2. Bednorz J G, Muller K A Z. Phys. B 64 189 (1986)
  3. Ginzburg V L, Kirzhnits D L Problema Vysokotemperaturnoi Sverkhprovodimosti (The Problem of High-Temperature Superconductivity, Moscow: Nauka, 1977) [Translated into English (New York: Consult. Bureau, 1982)]
  4. Mazin I I Usp. Fiz. Nauk 158 155 (1989) [Sov. Phys. Usp. 32 469 (1989)]
  5. Pickett W E Rev. Mod. Phys. 61 433 (1989)
  6. Ginzburg V L, Maksimov E G Sverkhprovodimost: Fiz., Khim., Tekh. 5 1543 (1992) [Supercond. Phys. Chemistry Technol. 5 1505 (1992)]
  7. Dagotto E Rev. Mod. Phys. 66 763 (1994)
  8. Kampf A P Phys. Rep. 249 219 (1994)
  9. Brenig W Phys. Rep. 251 153 (1995)
  10. Shen Z X, Dessau D S Phys. Rep. 253 1 (1995)
  11. Scalapino D J Phys. Rep. 250 329 (1995)
  12. Loktev V M Fiz. Nizk. Temp. 22 3 (1996) [Sov. J. Low Temp. Phys. (1996)]
  13. Izyumov Yu A Usp. Fiz. Nauk 165 403 (1995) [Sov. Phys. Usp. 38 385 (1995)]
  14. Wells B O et al. Phys. Rev. Lett. 74 964 (1995)
  15. Marshall D S et al. Phys. Rev. Lett. 76 4841 (1996)
  16. Mazin I I et al. Pis’ma Zh. Eksp. Teor. Fiz. 47 94 (1988) [JETP Lett. 47 113 (1988)]
  17. Maksimov E G et al. Phys. Rev. Lett. 63 1880 (1989)
  18. Fujimori A et al. Phys. Rev. B 35 8814 (1987)
  19. Eliashberg G M Ann. Phys. (Paris) 19 353 (1994)
  20. Greven M et al. Z. Phys. B 96 465 (1995)
  21. Miller L L et al. Phys. Rev. B 41 1921 (1990)
  22. Al-Mamouri M et al. Nature (London) 369 382 (1994)
  23. Greven M et al. Phys. Rev. Lett. 72 1096 (1994)
  24. Tokura Y et al. Phys. Rev. B 41 11657 (1990)
  25. Dessau D S et al. Phys. Rev. Lett. 71 2781 (1993)
  26. Monte G et al. Z. Phys. B 80 181 (1990)
  27. Lin Z, Manousakis E Phys. Rev. B 45 2425 (1992)
  28. Grioni M et al. Physica D (1997, in press)
  29. Birgeneau R J et al. Phys. Rev. B 38 6614 (1988)
  30. Tranquada J M et al. Phys. Rev. B 46 5561 (1992)
  31. Aebi P et al. Phys. Rev. Lett. 72 2757 (1994)
  32. Massidda S, Yu J, Freeman A J Physica C 152 251 (1988)
  33. Kampf A P, Schrieffer J R Phys. Rev. B 42 7967 (1990)
  34. Chakravarty S Phys. Rev. 74 1885 (1995)
  35. Haas S, Moreo A, Dagotto E Phys. Rev. Lett. 74 4281 (1995)
  36. Langer M et al. Phys. Rev. Lett. 75 4508 (1995)
  37. Eckstein J N, Bozovic I Ann. Rev. Mater. Sci. 25 279 (1995)
  38. Doniach S, Inui M Phys. Rev. B 41 6668 (1990)
  39. Kivelson S, Emery V Nature (London) 374 434 (1995)
  40. Trivedi N, Randeria M Phys. Rev. Lett. 75 312 (1995)
  41. Kotliar G, Liu J Phys. Rev. B 38 5142 (1988)
  42. Tonamoto T, Kohno K, Fukuyama H J. Phys. Jpn. 61 1886 (1992)
  43. Anderson P W Science 235 (4793) 1196 (1987)
  44. Schrieffer J R, Wen X G, Zhang S C Phys. Rev. B 39 11663 (1989)
  45. Wen X G, Lee P A Phys. Rev. Lett. 76 503 (1996)
  46. Suzuki M Phys. Rev. B 39 2312 (1989)
  47. Uchida S et al. Phys. Rev. B 43 7942 (1991)
  48. Fujimori A, Namatame N Physica C 185-189 51 (1991)
  49. Uchida S Physica C 185-189 28 (1991)
  50. Bazhenov A V, Gorbunov A V, Timofeev V B Zh. Eksp. Teor. Fiz. 104 3193 (1993) [JETP 77 500 (1993)]
  51. Maeno Y et al. Nature (London) 372 532 (1994)
  52. Walz L, Lichtenberg F Acta Crystallogr. C 49 1268 (1993)
  53. Lu D H et al. Phys. Rev. Lett. 76 4845 (1996)
  54. Singh D J Phys. Rev. B 52 1358 (1995)
  55. Gofron K et al. Phys. Rev. Lett. 73 3302 (1994)
  56. King D M et al. Phys. Rev. Lett. 73 3298 (1994)
  57. King D M et al. Phys. Rev. Lett. 70 3159 (1993)
  58. Tsuei C C, Gupta A, Koren G Physica C 161 415 (1989)
  59. Hirsch J E, Scalapino D J Phys. Rev. Lett. 56 2732 (1986)
  60. Markiewicz R S J. Phys.: Condens. Matter 2 665 (1990)
  61. Anisimov V I, Korotin M A, Afanasyev I V Physica C 159 412 (1989)
  62. Svane A Phys. Rev. Lett. 68 1900 (1992)
  63. Hubbard J Proc. Roy. Soc. A 276 238 (1963)
  64. Sarma D D, Rao C N R Solid State Commun. 65 47 (1988)
  65. Emery V J Phys. Rev. Lett. 58 2794 (1987)
  66. Varma C M, Schmitt-Rink S, Abrahams E Solid State Commun. 62 681 (1987)
  67. Zhang F C, Rice T M Phys. Rev. B 37 3759 (1988)
  68. Zhang F C, Rice T M Phys. Rev. B 41 7243 (1990)
  69. Emery V J, Reiter G Phys. Rev. B 41 7247 (1990)
  70. Lovtsov S V, Yushankhai Y Phys. Status Solidi B 166 209 (1991)
  71. Schuttler H B, Fedro A J Phys. Rev. B 45 7588 (1992)
  72. Belinicher V I, Chernyshev A L, Shubin V A Phys. Rev. B 53 335 (1996)
  73. Feiner L F, Jefferson J H, Raimondi R Phys. Rev. B 53 8751 (1996)
  74. Bulaevskii L N, Nagaev E L, Kholmskii D I Zh. Eksp. Teor. Fiz. 54 1562 (1968) [Sov. Phys. JETP 27 836 (1968)]
  75. Hirsch J E Phys. Rev. Lett. 54 1317 (1985)
  76. Von Szczepanski K J et al. Phys. Rev. B 41 2017 (1990)
  77. Eder R, van der Brink J, Sawatzky G A Phys. Rev. B 54 732 (1996)
  78. Bianconi A et al. Physica C 153-155 1760 (1988)
  79. Bianconi A et al. Phys. Rev. B 38 7196 (1988)
  80. Gaididei Yu B, Loktev V M Phys. Status Solidi B 147 307 (1988)
  81. Ovchinnikov S G Pis’ma Zh. Eksp. Teor. Fiz. 64 23 (1996) [JETP Lett. 64 25 (1996)]
  82. Kamimura H, Eto M J. Phys. Soc. Jpn. 59 3053 (1990)
  83. Eskes H, Tjeng L H, Sawatzky G A Phys. Rev. B 41 288 (1990)
  84. Raimondi R, Jefferson J H, Feiner L F Phys. Rev. B 53 8774 (1996)
  85. Landau L D Zh. Eksp. Teor. Fiz. 11 581 (1941)
  86. Zaitsev R O Zh. Eksp. Teor. Fiz. 68 207 (1975) [Sov. Phys. JETP 41 100 (1975)]
  87. Ovchinnikov S G Zh. Eksp. Teor. Fiz. 102 534 (1992) [Sov. Phys. JETP 75 283 (1992)]
  88. Zaitsev R O Zh. Eksp. Teor. Fiz. 70 1100 (1976) [Sov. Phys. JETP 43 574 (1976)]
  89. Izyumov Yu A, Katsnel’son M I, Skryabin Yu N Magnetism Kollektivizirovannykh Elektronov (Itinerant Electron Magnetism, Moscow: Nauka, 1994) p. 368
  90. Lieb E H, Wu F Y Phys. Rev. Lett. 20 1445 (1968)
  91. Tomonaga S Prog. Theor. Phys. 5 544 (1950); Luttinger J M J. Math. Phys. 4 1154 (1963); Mattis D C, Lieb E H J. Math. Phys. 6 304 (1965)
  92. Solyom J Adv. Phys. 28 201 (1979)
  93. Haldane F D M J. Phys. C 14 2585 (1981)
  94. Parolla A, Sorella S Phys. Rev. Lett. 64 1831 (1990)
  95. Anderson P W Phys. Rev. Lett. 64 1839 (1990)
  96. Preuss R et al. Phys. Rev. Lett. 73 732 (1994)
  97. Penc K, Mila F, Shiba H Phys. Rev. Lett. 75 894 (1995)
  98. Ogata M, Shiba H Phys. Rev. B 41 2326 (1990)
  99. Hirsch J E Phys. Rev. B 31 4403 (1985)
  100. Hirsch J E, Tang S Phys. Rev. Lett. 62 591 (1989)
  101. Scalapino D J Physica C 185-189 104 (1991)
  102. Moreo A Phys. Rev. B 48 3380 (1993)
  103. Bonesteel N, Wilkins J Phys. Rev. Lett. 66 2684 (1991)
  104. Dagotto E et al. Phys. Rev. B 45 10741 (1992)
  105. Dagotto E Int. J. Mod. Phys. B 5 907 (1991)
  106. Dagotto E, Ortolani F, Scalapino D Phys. Rev. B 46 3183 (1992)
  107. Ohta Y et al. Phys. Rev. B 46 14022 (1992)
  108. Stephan W, Horsch P Phys. Rev. Lett. 66 2258 (1991)
  109. Balseiro C A, Avignon M, Gadliano E R Solid. State. Commun. 72 763 (1989)
  110. Wagner J, Hanke W, Scalapino D J Phys. Rev. B 43 10517 (1991)
  111. Dagotto et al. Phys. Rev. Lett. 67 1918 (1991)
  112. Tohyama T, Maekawa S Physica C 191 193 (1992)
  113. Preuss R, Hanke W, von der Linden W Phys. Rev. Lett. 75 1344 (1995)
  114. Gull S F, in Maximum Entropy and Bayesian Methods (Ed. JfSkilling, Dordrecht: Academic, 1989)
  115. Moreo A et al. Phys. Rev. B 51 12045 (1995)
  116. Maekawa S Commun. Kondense Mater. Phys. 16 79 (1992)
  117. Mazin I I et al. Phys. Rev. B 45 5103 (1992)
  118. Varma C M et al. Phys. Rev. Lett. 63 1996 (1989)
  119. Landau L D Zh. Eksp. Teor. Fiz. 30 1058 (1956) [Sov. Phys. JETP 3 920 (1957)]
  120. Eskes H, Sawatzky G A, Feiner L F Physica C 160 424 (1989)
  121. Zaanen J, Sawatzky G A, Allen J W Phys. Rev. Lett. 55 418 (1985)
  122. Horsch P, Stephan W, in Electronic Properties of High-Tc Superconductors (Kirchberg, Tyrol, 1992, Eds H Kuzmany, M Mehring, J Fink) [Springer Series in Solidi State Science 113 351 (1993)]
  123. Ovchinnikov S G, Petrakovskii O G Sverkhprovodimost: Fiz., Khim., Tekh. 3 2492 (1990)
  124. Ohta Y, Tohyama T, Maekama S Phys. Rev. Lett. 66 1228 (1991)
  125. Hirsch J E et al. Phys. Rev. Lett. 60 1668 (1988)
  126. Stephan W, von der Linden W, Horsch P Phys. Rev. B 39 2924 (1989)
  127. Horsch P et al. Physica C 162-164 783 (1989)
  128. Ramsak A, Prelovsek P Phys. Rev. B 40 2239 (1989)
  129. Schmidt H J, Kuramoto Y Phys. Rev. B 42 2562 (1990)
  130. Elesin V F et al. Zh. Eksp. Teor. Fiz. 99 237 (1991) [Sov. Phys. JETP 72 133 (1991)]
  131. Eskes H, Sawatzky G A Phys. Rev. B 43 119 (1991)
  132. Scalettar R T et al. Phys. Rev. B 44 770 (1991)
  133. Dopf G, Muramatsu A, Hanke W Phys. Rev. B 41 9264 (1990)
  134. Dopf G et al. Phys. Rev. Lett. 68 2982 (1992)
  135. Eskes H, Meinders B J, Sawatzky G A Phys. Rev. Lett. 67 1035 (1991)
  136. Ovchinnikov S G Zh. Eksp. Teor. Fiz. 103 1404 (1993) [JETP 76 687 (1993)]
  137. Elesin V F, Kashurnikov V A Zh. Eksp. Teor. Fiz. 106 1773 (1994) [JETP 79 961 (1994)]
  138. Keimer B et al. Phys. Rev. B 46 14034 (1992)
  139. Kashurnikov V A, Kharchenko Yu G Pis’ma Zh. Eksp. Teor. Fiz. 63 860 (1996) [JETP Lett. 63 900 (1996)]
  140. Brazovskii S A, Luk’yanchuk I A Zh. Eksp. Teor. Fiz. 96 2088 (1989) [Sov. Phys. JETP 69 1180 (1989)]
  141. Brazovskii S A, Luk’yanchuk I A Zh. Eksp. Teor. Fiz. 98 1498 (1990) [Sov. Phys. JETP 71 837 (1990)]
  142. Kopaev Yu V Trudy FIAN 86 3 (1975)
  143. Schrieffer J R, Wen X G, Zhang S C Phys. Rev. Lett. 60 944 (1988)
  144. Grant J B, McMahan A K Phys. Rev. Lett. 66 488 (1991)
  145. Nagaev E L Zh. Eksp. Teor. Fiz. 105 943 (1994) [Sov. Phys. JETP 78 505 (1994)]
  146. Barabanov A F et al. Sverkhprovodimost: Fiz., Khim., Tekh. 3 8 (1990)
  147. Barabanov A F, Kuzian R O, Maksimov L A J. Phys.: Condens. Matter 39 129 (1991)
  148. Barabanov A F, Maksimov L A, Zhukov L E Phys. Lett. A 181 325 (1993)
  149. Becker K W, Brenig W Z. Phys. B 79 195 (1990)
  150. Unger P, Fulde P Phys. Rev. B 47 8947 (1993)
  151. Unger P, Fulde P Phys. Rev. B 48 16607 (1993)
  152. Eder E, Ohta Y Phys. Rev. B 50 10043 (1994)
  153. Entel P, Zielinski J Phys. Rev. B 42 307 (1990)
  154. Grilli M, Castellani C, Di Castro C Phys. Rev. B 42 6233 (1990)
  155. Di Castro C, Feiner L F, Grilli M Physica C 185-189 1417 (1991)
  156. Ovchinnikov S G, Petrakovsky O G J. Supercond. 4 437 (1991)
  157. Ovchinnikov S G Zh. Eksp. Teor. Fiz. 102 127 (1992) [Sov. Phys. JETP 75 67 (1992)]
  158. Ovchinnikov A A, Ovchinnikova M Ya Phys. Lett. A 187 83 (1994)
  159. Ovchinnikov S G, Sandalov I S Physica C 161 607 (1989)
  160. Ashkenazi J, Kuper C G Physica C 162-164 767 (1989)
  161. Lovtsov S V, Yushankhai V Yu Physica C 179 159 (1991)
  162. Hayn R, Yushankhai V Yu, Lovtsov S V Phys. Rev. B 47 5253 (1993)
  163. Belinicher V I, Chernyshev A L Phys. Rev. B 49 9746 (1994)
  164. Nazarenko A et al. Phys. Rev. B 51 8676 (1995)
  165. Zaanen J, Oles A M, Horsch P Phys. Rev. B 46 5798 (1992)
  166. Eder R, Ohta Y, Sawatzky G A Phys. Rev. Lett. (1997, in press)
  167. Ivanov V A, Zaitsev R O Int. J. Mod. Phys. B 1 689 (1988)
  168. Zaitsev R O, Ivanov V A, Mikhailova Yu V Fiz. Tverd. Tela (Leningrad) 30 3507 (1988) [Sov. Phys. Solid State 30 2017 (1988)]
  169. Zaitsev R O Izv. Ross. Akad. Nauk, Ser. Fiz. 56 132 (1992)
  170. Frenkel D M et al. Phys. Rev. B 41 350 (1994)
  171. Thurston T R et al. Phys. Rev. Lett. 65 263 (1990)
  172. Cheong S W et al. Phys. Rev. Lett. 67 1791 (1991)
  173. Yamada K et al. Phys. Rev. Lett. 78 (1997, in press)
  174. Serikov V V et al. Pis’ma Zh. Eksp. Teor. Fiz. 47 451 (1988) [JETP Lett. 47 533 (1988)]
  175. Aleksashin B A et al. Pis’ma Zh. Eksp. Teor. Fiz. 48 263 (1988) [JETP Lett. 48 289 (1988)]
  176. Gogolin A O, Ioselevich A S Pis’ma Zh. Eksp. Teor. Fiz. 53 358 (1991) [JETP Lett. 53 375 (1991)]
  177. Ashkenazi J J. Supercond. 7 719 (1994)
  178. Abrikosov A A, Comprusano J C, Gofron K Physica C 214 73 (1993)
  179. Eremin M V et al. Pis’ma Zh. Eksp. Teor. Fiz. 60 118 (1994) [JETP Lett. 60 125 (1994)]
  180. Bickers N E, Scalapino D J Ann. Phys. N.Y. 193 206 (1989)
  181. Bickers N E, Scalapino D J, White S R Phys. Rev. Lett. 62 961 (1989)
  182. Baym G, Kadanoff L P Phys. Rev. 124 287 (1961)
  183. Kuz’min E V, Ovchinnikov S G TMP 31 379 (1977)
  184. Putz R et al. Phys. Rev. B 53 5133 (1996)
  185. Ovchinnikov S G, Sandalov I S Solid State Commun. 47 367 (1993)
  186. Dagotto E, Nazarenko A, Boninsegni M Phys. Rev. Lett. 73 728 (1994)
  187. Schmalian J et al. Phys. Rev. B 54 4336 (1996)
  188. Nagaev E L Pis’ma Zh. Eksp. Teor. Fiz. 6 484 (1967) [JETP Lett. 6 18 (1967)]
  189. Nagaev E L Usp. Fiz. Nauk 165 529 (1995) [Sov. Phys. Usp. 38 497 (1995)]
  190. Luttinger J M, Ward J C Phys. Rev. 118 1417 (1960)
  191. Littlewood P B et al. Phys. Rev. B 39 12371 (1989)
  192. Gorbatsevich A A, Kopaev Yu V Pis’ma Zh. Eksp. Teor. Fiz. 51 327 (1990) [JETP Lett. 51 373 (1990)]
  193. Gorbatsevich A A, Kopaev Yu V, Tokatly I V Zh. Eksp. Teor. Fiz. 101 971 (1992) [Sov. Phys. JETP 74 521 (1992)]
  194. Warren W W et al. Phys. Rev. Lett. 62 1193 (1989)
  195. Horvatic M et al. Phys. Rev. B 39 7332 (1989)
  196. Rossat-Mignod et al. Physica C 185-189 86 (1991)
  197. Berthier C et al. J. Phys. I (Paris) 72 197 (1996)
  198. Puchkov A V, Basov D N, Timusk T J. Phys.: Condens. Matter 8 10049 (1996)
  199. Ioffe L B et al. Pis’ma Zh. Eksp. Teor. Fiz. 59 65 (1994) [JETP Lett. 59 65 (1994)]
  200. Emery V J., Kivelson S A, Zakhar O, Preprint of Brookhaven National Laboratory NBNL-G 3578 (1996)
  201. Biankoni A, Missori M J. Phys. I (Paris) 4 361 (1994)
  202. Bakharev O N, Eremin M V, Teplov M A Pis’ma Zh. Eksp. Teor. Fiz. 61 499 (1995) [JETP Lett. 61 515 (1995)]
  203. Teplov M A et al. Pis’ma Zh. Eksp. Teor. Fiz. 63 214 (1996) [JETP Lett. 63 227 (1996)]
  204. Gopalan S, Rice T M, Sigrist M Phys. Rev. B 49 8901 (1994)
  205. Aharony A et al. Phys. Rev. Lett. 60 1330 (1988)
  206. Igarashi J, Fulde P Phys. Rev. B 45 12357 (1992)
  207. Khaliullin G, Horsch P Phys. Rev. B 47 463 (1993)
  208. Khaliullin G G Pis’ma Zh. Eksp. Teor. Fiz. 52 999 (1990) [JETP Lett. 52 389 (1990)]
  209. Richard J L, Yushankhai V Yu Phys. Rev. B 50 12927 (1994)
  210. Zhang W, Bennemann K N Phys. Rev. B 45 12487 (1992)
  211. Ovchinnikov S G Physica C 228 81 (1994)
  212. Markert T, Dalichaouch V, Marle M B Physical Properties of High-Temperature Superconductors Vol. 1 (Ed. by D N Ginsberg, Singapore: World Scientific, 1989) p. 265
  213. Ting S T et al. Phys. Rev. B 46 11772 (1992)
  214. Xiao G et al. Phys. Rev. B 42 8752 (1990)
  215. Alloul H et al., in Proc. Workshop on High-Temperature Superconductivity Miami USA (1995) p. 7
  216. Ovchinnikov S G Fiz. Tverd. Tela (St.-Petersburg) 37 3645 (1995) [Sov. Phys. Solid State 37 140 (1995)]
  217. Sen P, Singh A Phys. Rev. B 53 328 (1996)
  218. Kluge T et al. Phys. Rev. B 52 727 (1995)
  219. Kluge T et al. Czech. J. Phys. 46 (Suppl. S3) 1444 (1996)
  220. Abrikosov A A, Gor’kov L P Zh. Eksp. Teor. Fiz. 39 1781 (1960) [Sov. Phys. JETP 12 1243 (1961)]
  221. Tarascon J M et al. Phys. Rev. B 42 218 (1990)
  222. Jayaram B, Chen H, Callaway J Phys. Rev. B 52 3742 (1995)
  223. Brinkmann M, Bach H, Westerholt K Phys. Rev. B 54 6680 (1996)
  224. Millis A J, Monien H, Pines D Phys. Rev. B 42 167 (1990)
  225. Babichenko V S, Kagan Yu Pis’ma Zh. Eksp. Teor. Fiz. 56 305 (1992) [JETP Lett. 56 303 (1992)]

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