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Reviews of topical problems


High-temperature superconductivity: the current state


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

Theoretical and experimental work concerning high-temperature superconductors in general and cuprates in particular is reviewed. A detailed analysis of the current knowledge of the subject suggests that when in the normal state, superconducting cuprates behave very much the same as ’conventional’ metals. Experimental evidence is presented for the existence of strong relaxation processes in the normal state of HTSC systems at low energy. Ab initio calculations of the optical spectra and the electron-phonon interaction (EPI) show that the electron-phonon mechanism explains many features of low-energy relaxation processes in HTSC systems, including the high critical temperature. However, many properties of the superconducting state, for example, the anisotropic d pairing in cuprates, cannot be explained with the EPI mechanism alone. A number of models for cuprate superconductors with EPI and Coulomb repulsion are discussed in detail.

Fulltext is available at IOP
PACS: 74.20.−z, 74.72.−h, 71.10.Ay, 71.15.Md (all)
DOI: 10.1070/PU2000v043n10ABEH000770
URL: https://ufn.ru/en/articles/2000/10/a/
Citation: Maksimov E G "High-temperature superconductivity: the current state" Phys. Usp. 43 965–990 (2000)
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Оригинал: Максимов Е Г «Проблема высокотемпературной сверхпроводимости. Современное состояние» УФН 170 1033–1061 (2000); DOI: 10.3367/UFNr.0170.200010a.1033

References (187) ↓ Cited by (133) Similar articles (20)

  1. Ginzburg V L Phys. Lett. 13 101 (1964)
  2. Little W A Phys. Rev. A 134 1416 (1964)
  3. Bednorz J G, Müller K A Z. Phys. B 64 189 (1986)
  4. Wu M K et al. Phys. Rev. Lett. 58 908 (1987)
  5. Putilin S N et al. Nature (London) 362 226 (1993)
  6. Chu C W et al. Nature (London) 365 323 (1993)
  7. Problema Vysokotemperaturnoî Sverkhprovodimosti (Eds V L Ginzburg, D A Kirzhnits, M.: Nauka, 1977) [Translated into English: High-Temperature Superconductivity (Eds V L Ginzburg, D A Kirzhnits, New York: Consultants Bureau, 1982)]
  8. Cohen M L, Anderson P W, in Superconductivity in d- and f-Band Metals (AIP Conf. Proc., Ed D H Douglass, New York: AIP, 1972) p. 17
  9. Dolgov O V, Maksimov E G Usp. Fiz. Nauk 135 441 (1981) [Sov. Phys. Usp. 24 1019 (1981)]
  10. Pashitskiî E A Fiz. Nizk. Temp. 21 995 (1995)
  11. Dolgov O V, Maksimov E G Usp. Fiz. Nauk 138 (1) 95 (1982) [Sov. Phys. Usp. 25 688 (1982)]
  12. Anderson P W The Theory of Superconductivity in the High-Tc Cuprates (Princeton: Princeton Univ. Press, 1997)
  13. Kalmeyer V, Laughlin R B Phys. Rev. Lett. 59 2095 (1987); Affleck I, Marston J B Phys. Rev. B 37 3664 (1988)
  14. Anderson P W Science 235 1136 (1987)
  15. Luttinger J M J. Math. Phys. 15 609 (1963)
  16. Anderson P W, in High-Temperature Superconductivity (AIP Conf. Proc., Vol. 483, Eds S E Barnes et al., Woodbury, N.Y.: AIP, 1999) p. 3
  17. Spielman S et al. Phys. Rev. Lett. 65 123 (1990)
  18. Gammel P L et al. Phys. Rev. B 41 2593 (1990)
  19. Norman M R J. Phys. Chem. Sol. 54 1165 (1993)
  20. Leggett A Phys. World 10 51 (1997)
  21. Monien H, Pines D Phys. Rev. B 41 6297 (1990)
  22. Mills A, Monien H Phys. Rev. B 45 3059 (1992)
  23. Schrieffer J R, Wenx G, Zhang S C Phys. Rev. B 39 11663 (1990)
  24. Kampf A, Schrieffer J R Phys. Rev. B 41 6399 (1990)
  25. Ruvalds J Supercon. Sci. Technol. 9 905 (1996)
  26. Kohn W, Luttinger J M Phys. Rev. Lett. 15 524 (1965)
  27. Akhiezer A I, Pomeranchuk I L Zh. Eksp. Teor. Fiz. 36 859 (1959) [Sov. Phys. JETP 9 605 (1959)]
  28. Mineev V P Usp. Fiz. Nauk 139 303 (1983) [Sov. Phys. Usp. 26 160 (1983)]
  29. Fulde P, Keller J, Zwicknagl G, in Solid State Physics Vol. 41 (Eds H Ehrenreich, H Turnbull, New York: Academic, 1986) p. 2
  30. Pashitskiî E A Fiz. Nizk. Temp. 21 1091 (1995)
  31. Kulic M L Phys. Rep. (2000, in press)
  32. Kirzhnits D A Usp. Fiz. Nauk 119 357 (1976) [Sov. Phys. Usp. 19 530 (1976)]
  33. Dolgov O V, Kirzhnits D A, Maksimov E G Rev. Mod. Phys. 53 81 (1981)
  34. Fasolino A, Parrinello M, Tosi M P Phys. Lett. A 66 119 (1978)
  35. Kittel C Quantum Theory of Solids (New York: Wiley, 1963) [Translated into Russian (Moscow: Nauka, 1967)]
  36. Schofield A J Contemp. Phys. 40 95 (1998)
  37. Allen P B Comments Cond. Math. Phys. 15 327 (1992)
  38. Landau L D Zh. Eksp. Teor. Fiz. 30 1058 (1956) [Sov. Phys. JETP 3 920 (1957)]
  39. Bloch F Z. Phys. 52 555 (1928)
  40. Gell-Mann M, Brueckner K A Phys. Rev. 106 364 (1957)
  41. Silin V P Zh. Eksp. Teor. Fiz. 33 495 (1957) [Sov. Phys. JETP 6 389 (1958)]
  42. Lifshits I M, Azbel’ M Ya, Kaganov M I Elektronnaya Teoriya Metallov (Electron Theory of Metals, Moscow: Nauka, 1971) [Translated into English (New York: Consultants Bureau, 1973)]
  43. Rainer D, in Progress in Low Temperature Physics Vol. X (Ed. D C Brewer, Amsterdam: Elsevier, 1986) p. 371
  44. Eliashberg G M Zh. Eksp. Teor. Fiz. 41 1241 (1961) [Sov. Phys. JETP 14 970 (1962)]
  45. Keldysh L V Zh. Eksp. Teor. Fiz. 47 1515 (1964) [Sov. Phys. JETP 20 1018 (1965)]
  46. Lundqvist S, N H March (Eds) Theory of the Inhomogeneous Electron Gas (New York: Plenum, 1983) [Translated into Russian: D A Kirzhnits, E G Maksimov (Eds, Moscow: Mir, 1987)]
  47. Migdal A B Zh. Eksp. Teor. Fiz. 34 1438 (1958) [Sov. Phys. JETP 7 996 (1958)]
  48. Eliashberg G M Zh. Eksp. Teor. Fiz. 38 966; 39 1437 (1960) [Sov. Phys. JETP 11 696 (1960); 12 1000 (1961)]
  49. Holstein T D Ann. Phys. (N.Y.) 29 410 (1964)
  50. Allen P B, Mitrovich B, in Solid State Physics Vol. 37 (Eds H Ehrenreich, F Seitz, D Turnbull, New York: Academic, 1982) p. 1
  51. Maksimov E G, Savrasov D Yu, Savrasov S Yu Usp. Fiz. Nauk 167 353 (1997) [Phys. Usp. 40 337 (1997)]
  52. Allen P B Phys. Rev. B 3 305 (1971)
  53. Kaufmann H J, Maksimov E G, Salje E K H J. Supercond. 11 755 (1998)
  54. Modine F A et al. Phys. Rev. B 40 9558 (1989)
  55. Beaulac T P, Allen P B, Pinski F J Phys. Rev. B 26 1549 (1982)
  56. McMillan W L, Rowell J M, in Superconductivity Vol. 1 (Ed. R D Parks, New York: M. Dekker, 1969) p. 561
  57. Svistunov V M, Belogolovskiî M A, Khachapurov A I Usp. Fiz. Nauk 163 61 (1993) [Phys. Usp. 36 65 (1993)]
  58. Motulevich G P Usp. Fiz. Nauk 97 211 (1969) [Sov. Phys. Usp. 12 74 (1969)]
  59. Farnworth B, Timusk T Phys. Rev. B 14 5119 (1976)
  60. Klein B M, Pickett W F, in Superconductivity in d- and f- Band Metals (Eds W Buckel, W Weber, Karlsruhe: Kernforschungszentrum, 1982) p. 447
  61. Savrasov S Yu, Maksimov E G Usp. Fiz. Nauk 165 773 (1995) [Phys. Usp. 38 737 (1995)]
  62. Kohn W, Sham L J Phys. Rev. A 140 1133 (1965)
  63. Jones R O, Gunnarsson O Rev. Mod. Phys. 61 689 (1989)
  64. Schönhammer K, Gunnarsson O Phys. Rev. B 37 3128 (1998)
  65. Luttinger J M Phys. Rev. 119 1153 (1960)
  66. Eliashberg G M, Von der Linden W Pis’ma Z. Eksp. Teor. Fiz. 59 413 (1994) [JETP Lett. 59 441 (1994)]
  67. J. Phys. Chem. Solids 54 (11/12, 1993)
  68. Mazin I I et al. Zh. Eksp. Teor. Fiz. 90 1092 (1986) [Sov. Phys. JETP 63 637 (1986)]
  69. Maksimov E G et al. J. Phys. F 18 833 (1988)
  70. Mazin I I et al. Tr. Fiz. Inst. Akad. Nauk SSSR 190 4 (1988) [Translated into English: Metal Optics and Superconductivity (New York: Nova Science, 1991)]
  71. Fehrenbach G-M Phys. Rev. B 59 15085 (1999)
  72. Gross E K U, Dobson J F, Petersilka M, in Density Functional Theory (Ed. R F Nalivaiski, Berlin: Springer, 1996) p. 71
  73. Uspenskiî Yu A, Kulatov E T, Khalilov S V Zh. Eksp. Teor. Fiz. 107 1708 (1995) [JETP 80 952 (1995)]
  74. Savrasov S Yu, Savrasov D Yu Phys. Rev. B 46 12181 (1992)
  75. Savrasov S Yu, Savrasov D Yu, Andersen O K Phys. Rev. Lett. 72 372 (1994)
  76. Sternheimer R M Phys. Rev. A 96 951 (1954)
  77. Mahan G D Many-Particle Physics (New York: Plenum, 1981)
  78. Yasuhare H, Onsaka Y Int. J. Mod. Phys. 6 3089 (1992)
  79. Antonov V N et al. Zh. Eksp. Teor. Fiz. 95 732 (1989) [Sov. Phys. JETP 68 415 (1989)]
  80. Pickett W E Rev. Mod. Phys. 61 433 (1989)
  81. Mazin I I et al. Pis’ma Zh. Eksp. Teor. Fiz. 47 94 (1988) [JETP Lett. 47 113 (1988)]
  82. Maksimov E G et al. Phys. Rev. Lett. 63 1880 (1989)
  83. Rashkeev S N et al. Zh. Eksp. Teor. Fiz. 97 1688 (1990) [Sov. Phys. JETP 70 952 (1990)]
  84. Chui S T, Kasowski R V, Hsu W Y Phys. Rev. Lett. 61 885 (1988)
  85. Chen H et al. Phys. Rev. B 43 383 (1991)
  86. Ushida S et al. Phys. Rev. B 43 7942 (1991)
  87. Tajima S et al J. Opt. Soc. Am. 6 475 (1989)
  88. Rombers H et al. Z. Phys. B. 78 367 (1980)
  89. Balzarotti A et al. Sol. State Commun. 68 381 (1988)
  90. Nücker N et al., in Studies of High Temperature Superconductors Vol. 10 (Ed. A Narlikar, New York: Nova Science, 1989) p. 132
  91. Bucker B et al. Phys. Rev. B 45 3026 (1992)
  92. Petrov M P et al. Pis’ma Zh. Eksp. Teor. Fiz. 50 25 (1989) [JETP Lett. 50 29 (1989)]
  93. Renk K F et al. Physica C 165 1 (1996)
  94. Schlesinger Z et al. Phys. Rev. Lett. 65 801 (1990)
  95. Schmitt-Rink S, Varma C M, Ruckenstein A E Phys. Rev. Lett. 60 2793 (1988)
  96. Shulga S V, Dolgov O V, Maksimov E G Physica C 178 266 (1991)
  97. Bozovich I Phys. Rev. B 42 1969 (1990)
  98. Pintschovis L, Reichardt W, in Physical Properties of High-Temperature Superconductors Vol. IV (Ed. D M Ginzberg, Singapore: World Scientific, 1994) p. 295
  99. Maksimov E G et al. Solid State Commun. 112 449 (1999)
  100. Kaminski A et al. Phys. Rev. Lett. 84 1388 (2000)
  101. Anderson P W Phys. Rev. B 55 11785 (1997)
  102. Romero D B et al. Solid State Commun. 82 183 (1992)
  103. Jehl G et al. Europhys. Lett. 16 330 (1991)
  104. Kaufmann H J,in Ph D Thesis (Cambridge: Cambridge Univ., 1999)
  105. Dolgov O V, Shulga S V J. Supercond. 8 611 (1995)
  106. Carbotte J P, Schaschinger E, Basov D N Nature (London) 401 354 (1999)
  107. Ginzburg V L, Maksimov E G Physica C 235-240 193 (1994)
  108. Fong H F et al. Phys. Rev. B 54 6708 (1996)
  109. Smith T J et al. J. Supercond. 12 95 (1999)
  110. Chuang Y -D et al. Phys. Rev. Lett. 83 3717 (1999)
  111. Zakharov A A et al. Phys. Rev. B 61 115 (2000)
  112. Fretwell H M et al. Phys. Rev. Lett. 84 4449 (2000)
  113. Borisenko S V et al. Phys. Rev. Lett. 84 4453 (2000)
  114. Fiory A T et al. Physica C 162-164 1195 (1989)
  115. Mackenzic A et al. Physica C 162-164 1029 (1989)
  116. Vedeneev S I et al. Phys. Rev. B 51 16380 (1995)
  117. Gurzhi R N, Kopeliovich A I, Rutkevich S B Adv. Phys. 36 221 (1987)
  118. Stojkovic B P, Pines D Phys. Rev. B 55 8576 (1997)
  119. Ioffe L B, Millis A J Phys. Rev. B 58 11631 (1998)
  120. Jarlborg T Solid State Commun. 71 669 (1989)
  121. Cohen R E, Pickett W E, Krakauer H Phys. Rev. Lett. 64 2575 (1990)
  122. Zeyher R Z. Phys. B 80 187 (1990)
  123. Krakauer H, Pickett W E, Cohen R E Phys. Rev. B 47 1002 (1993)
  124. Mazin I I et al., in Lattice Effects in High -Tc Superconductors (Eds Y Bar-Yam et al., Singapore: World Scientific, 1992) p. 235
  125. Zhao G L, Browne D A, Callaway J Phys. Rev. B 52 16217 (1955)
  126. Savrasov S Yu, Andersen O K Phys. Rev. Lett. 77 4430 (1996)
  127. Litvinchuk A P, Thomsen O, Cardona M, in Physical Properties of High-Temperature Superconductors Vol. IV (Ed. D M Ginzberg, Singapore: World Scientific, 1994) p. 375
  128. Thomsen C, in Light Scattering in Solids Vol. VI (Eds M Cardona, G Güntherodt, Berlin: Springer, 1991) p. 285
  129. Hadjev V G et al. Phys. Rev. B 58 1043 (1998)
  130. Engelsberg S, Schrieffer J R Phys. Rev. 131 553 (1963)
  131. Schuster H G Solid State Commun. 13 1559 (1973)
  132. Maksimov E G, Shulga S V Solid State Commun. 97 553 (1936)
  133. Karakozov A E, Maksimov E G Zh. Eksp. Teor. Fiz. 115 1799 (1999) [JETP 88 987 (1999)]
  134. Ponosov Yu S et al. Phys. Status Solidi B208 257 (1998)
  135. Zeyher R, Zwicknagl G Z. Phys. B 78 175 (1990)
  136. Nicol E J, Jiang C, Carbotte J P Phys. Rev. B 47 8131 (1999)
  137. Devereaux T P Phys. Rev. B 50 10287 (1994)
  138. Zhigadlo N N, Zhang M, Salje E K H Supercond. Sci. Technol. 10 209 (1997)
  139. Shimada D et al. Phys. Rev. B 51 16495 (1995)
  140. Miyakawa N et al. J. Phys. Soc. Jpn. 62 2445 (1993)
  141. Vedeneev S I, Jensen A G M, Wyder P Physica B 218 213 (1996)
  142. Gonnelli R S, Asdente F, Andreone D Phys. Rev. B 49 1486 (1994)
  143. Aminov B A et al. Physica C 235-240 1863 (1994)
  144. Kashiwaya S et al. Phys. Rev. B 56 13746 (1997)
  145. Hasegawa T et al. J. Supercond. 8 467 (1995)
  146. Renner C, Fischer O Phys. Rev. B 51 9208 (1995)
  147. Ponomarev Ya G et al. Solid State Commun. 111 513 (1999)
  148. Maksimov E G, Arseyev P I, Maslova N S Solid State Commun. 111 391 (1999)
  149. Kulik I O Pis’ma Zh. Eksp. Teor. Fiz. 2 134 (1965) [JETP Lett. 2 82 (1965)]
  150. Frank J F, in Physical Properties of High-Temperature Superconductors Vol. V (Ed. D M Ginzberg, Singapore: World Scientific, 1994)
  151. Ekino T et al. Physica C 263 249 (1956)
  152. Schmidt H et al., in Proc. M2S Conf. (Houston, 2000); Physica C (to be published)
  153. Zhen Z-X, Dessau D S Phys. Rep. 253 1 (1995)
  154. Scalapino D J Phys. Rep. 251 154 (1994)
  155. Monthoux P, Scalapino D J Phys. Rev. Lett. 72 1874 (1994)
  156. Pao C-H, Bickers N E Phys. Rev. Lett. 72 1870 (1994)
  157. Radtke R J et al. Phys. Rev. B 48 15957 (1993)
  158. Ginzburg V L, Maksimov E G Sverkhprov. Fiz., Khim., Tekh. 5 1543 (1992) [Supercond. Phys. Chem. Technol. 5 1505 (1992)]
  159. Maksimov E G J. Supercond. 8 433 (1995)
  160. Abrikosov A A Physica C 222 191 (1994)
  161. Abrikosov A A Phys. Rev. B 53 R8910 (1996)
  162. Santi G et al. J. Supercond. 8 405 (1995)
  163. Peter M, Weger M, Pitaevskii L P Ann. Phys. (Berlin) 7 174 (1998)
  164. Dolgov O V et al. Int. J. of Mod. Phys. B 12 3083 (1998)
  165. Varelogiannis G Physica C 317-318 238 (1999)
  166. Grimaldi C, Pietronero L, Strässler S Phys. Rev. B 52 10530 (1995)
  167. Novikov D L, Freeman A J Physica C 216 273 (1993)
  168. Andersen O K et al. Phys. Rev. B 49 4145 (1994)
  169. Shaked H et al. Phys. Rev. B 51 11784 (1995)
  170. Moodenbauch A R et al. Phys. Rev. B 38 4596 (1998)
  171. Kumagai K et al. J. Magn. Magn. Mat. 76-77 601 (1988)
  172. Appel J, Heusenau H Phys. Rev. 188 755 (1969)
  173. Foulkes I F, Gyorffy B L Phys. Rev. B 15 1335 (1977)
  174. Barisic S, Batistic J Europhys. Lett. 8 765 (1989)
  175. Devereaux T P, Virosztek A, Zawadowski A Phys. Rev. B 51 505 (1995)
  176. Annett J F, Goldenfeld N, Leggett A J, in Physical Properties of High-Temperature Superconductors Vol. 5 (Ed. D M Ginzberg, Singapore: World Scientific, 1995) p. 375
  177. Tsuei C C et al. Phys. Rev. Lett. 73 593 (1994)
  178. Bhattacharya A et al. Phys. Rev. Lett. 82 3132 (1999)
  179. Li Q et al. Phys. Rev. Lett. 83 4160 (1999)
  180. Combescot R, Leyronas X Phys. Rev. Lett. 75 3732 (1995)
  181. Golubov A A et al. Physica C 235-240 2383 (1994)
  182. Arseyev P I, Fedorov M K, Volkov B A Solid State Commun. 100 581 (1996)
  183. Chakravarty S et al. Science 261 337 (1993)
  184. Sudb A J. Low Temp. Phys. 97 403 (1994)
  185. Sardar M Physica C 298 254 (1998)
  186. Van der Marel D et al. Physica C 235-240 1145 (1994)
  187. Moler K A et al. Science 279 1193 (1998)

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