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Reviews of topical problems


Materials with strong electron correlations

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

The electron structure and physical properties of strongly correlated systems containing elements with unfilled 3d, 4d, and 5f shells are analyzed. These systems include several transition metals, rare-earth elements, and actinides, as well as their numerous compounds, such as various oxides exhibiting metal-insulator phase transitions, cuprates, manganites, f systems with heavy fermions, and Kondo insulators. It is shown that the low-energy physics of such systems is described by three basic models: the Hubbard model, the sd-exchange model, and the periodic Anderson model under the condition that the on-site Coulomb repulsion energy U or the sd exchange energy J is of the order of the conduction-band width W. This situation does not involve a small parameter and should be treated nonperturbatively. We describe one such approach, the dynamic mean-field theory (DMFT), in which a system is considered to be only dynamically but not spatially correlated. We show that this approach, which is fully justified in the limit of large spatial dimensions (d→∞), covers the entire physics of strongly correlated systems and adequately describes the phenomena they exhibit. Extending the DMFT to include spatial correlations enables various d and f systems to be quantitatively described. Being a subject of intense development in recent years, the DMFT is the most effective and universal tool for studying various strongly correlated systems.

Fulltext pdf (603 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n01ABEH006388
PACS: 71.27.+a, 71.30.+h, 74.72.−h, 75.10.−b, 75.30.−m (all)
DOI: 10.1070/PU2008v051n01ABEH006388
URL: https://ufn.ru/en/articles/2008/1/c/
000256193500003
2-s2.0-44149107137
2008PhyU...51...23I
Citation: Izyumov Yu A, Kurmaev E Z "Materials with strong electron correlations" Phys. Usp. 51 23–56 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Изюмов Ю А, Курмаев Э З «Материалы с сильными электронными корреляциями» УФН 178 25–60 (2008); DOI: 10.3367/UFNr.0178.200801b.0025

References (145) ↓ Cited by (45) Similar articles (20)

  1. Hubbard J J Proc. R. Soc. London A 276 238 (1963)
  2. Hubbard J J Proc. R. Soc. London A 281 401 (1964)
  3. Metzner W, Vollhardt D Phys. Rev. Lett. 62 324 (1989)
  4. Georges A, Kotliar G Phys. Rev. B 45 6479 (1992)
  5. Zhang X Y, Rozenberg M J, Kotliar G Phys. Rev. Lett. 70 1666 (1993)
  6. Georges A et al. Rev. Mod. Phys. 68 13 (1996)
  7. Kotliar G et al. Rev. Mod. Phys. 78 865 (2006)
  8. Georges A AIP Conf. Proc. 715 3 (2004)
  9. Georges A cond-mat/0403123, It is the same as Ref. [8]
  10. Held K Adv. Phys. 56 829 (2007)
  11. Lichtentein A I, Katsnelson M I, Kotliar G In Electron Correlations And Materials Properties 2 (Eds A Gonis, N Kioussis, M Ciftan) (New York: Kluwer Acad. Plenum Publ., 2003) p. 428
  12. Maier T et al. Rev. Mod. Phys. 77 1027 (2005)
  13. Freericks J K, Zlatić V Rev. Mod. Phys. 75 1333 (2003)
  14. Edelstein A S J. Magn. Magn. Mater. 256 430 (2003)
  15. Kotliar G, Vollhardt D Phys. Today 57 (3) 53 (2004)
  16. Tokura Y Phys. Today 56 (7) 50 (2003)
  17. Agilent Technologies Europhysics Prize of 2006, www.agilent.com/about/newsroom/presrel/2006/08maral06001.html
  18. Izyumov Yu A Usp. Fiz. Nauk 165 403 (1995); Izyumov Yu A Phys. Usp. 38 385 (1995)
  19. Izyumov Yu A Usp. Fiz. Nauk 167 465 (1997); Izyumov Yu A Phys. Usp. 40 445 (1997)
  20. Izyumov Yu A Usp. Fiz. Nauk 169 225 (1999); Izyumov Yu A Phys. Usp. 42 215 (1999)
  21. Izyumov Yu A, Skryabin Yu N Usp. Fiz. Nauk 171 121 (2001); Izyumov Yu A, Skryabin Yu N Phys. Usp. 44 109 (2001)
  22. Izyumov Yu A, Chashchin N I, Alekseev D S Teoriya Sil’no Korrelirovannykh Sistem. Metod Proizvodyashchego Funktsionala (M. - Izhevsk: RKhD, 2006)
  23. Izyumov Yu A, Kurmaev E Z Usp. Fiz. Nauk 113 193 (1974); Izyumov Yu A, Kurmaev É Z Sov. Phys. Usp. 17 356 (1974)
  24. Izyumov Yu A, Kurmaev E Z Usp. Fiz. Nauk 118 53 (1976); Izyumov Yu A, Kurmaev É Z Sov. Phys. Usp. 19 26 (1976)
  25. Vonsovskii S V, Izyumov Yu A, Kurmaev E Z Sverkhprovodimost’ Perekhodnykh Metallov, Ikh Splavov i Soedinenii (M.: Nauka, 1977); Translated into English, Vonsovsky S V, Izyumov Yu A, Kurmaev E Z Superconductivity Of Transition Metals: Their Alloys And Compounds (Berlin: Springer-Verlag, 1982)
  26. Zubarev D N Usp. Fiz. Nauk 71 71 (1960); Zubarev D N Sov. Phys. Usp. 3 320 (1960)
  27. Abrikosov A A, Gor’kov L P, Dzyaloshinskii I E Metody Kvantovoi Teorii Polya v Statisticheskoi Fizike (M.: Fizmatgiz, 1962); Translated into English, Abrikosov A A, Gor’kov L P, Dzyaloshinskii I E Quantum Field Theoretical Methods In Statistical Physics (Oxford: Pergamon Press, 1965)
  28. Anderson P W Phys. Rev. 124 41 (1961)
  29. Bulla R, Costi T A , Vollhardt D Phys. Rev. B 64 045103 (2001)
  30. Fye R M, Hirsch J E Phys. Rev. B 40 4780 (1989)
  31. Werner P et al. Phys. Rev. Lett. 97 076405 (2006)
  32. Haule K Phys. Rev. B 75 155113 (2007)
  33. Krug von Nidda H-A et al. Eur. Phys. B 34 399 (2003)
  34. Fujimori A et al. Phys. Rev. Lett. 69 1796 (1992)
  35. Mo S-K et al. Phys. Rev. Lett. 90 186403 (2003)
  36. Limelette P et al. Science 302 89 (2003)
  37. Panaccione G et al. Phys. Rev. Lett. 97 116401 (2006)
  38. Sham L J, Kohn W Phys. Rev. 145 561 (1966)
  39. Schrieffer J R, Wolff P A Phys. Rev. 149 491 (1966)
  40. Mott N F Proc. Phys. Soc. London A 62 416 (1949)
  41. Mott N F Can. J. Phys. 34 1356 (1956)
  42. Mott N F Philos. Mag. 6 287 (1961)
  43. Mott N F Metal-Insulator Transitions 2nd ed. (London: Taylor & Francis, 1990)
  44. Brinkman W F, Rice T M Phys. Rev. B 2 4302 (1970)
  45. Zaanen J, Sawatzky G A, Allen J W Phys. Rev. Lett. 55 418 (1985)
  46. Imada M, Fujimori A, Tokura Y Rev. Mod. Phys. 70 1039 (1998)
  47. Pavarini E et al. Phys. Rev. Lett. 92 176403 (2004)
  48. Sadovskii M V Usp. Fiz. Nauk 171 539 (2001); Sadovskii M V Phys. Usp. 44 515 (2001)
  49. Sadovskii M V cond-mat/0408489
  50. Yoshida T et al. J. Phys. Condens. Matter 19 125209 (2007); Yoshida T et al. cond-mat/0610759
  51. Kuchinskii E Z et al. Zh. Eksp. Teor. Fiz. 131 908 (2007); JETP JETP 104 792 (2007); Kuchinskii E Z et al. cond-mat/0606651
  52. Millis A J, Momen H, Pines D Phys. Rev. B 42 167 (1990)
  53. Sadovskii M V et al. Phys. Rev. B 72 155105 (2005)
  54. Kuchinskii E Z, Nekrasov I A, Sadovskii M V Phys. Rev. B 75 115102 (2007)
  55. Kuchinskii E Z, Nekrasov I A, Sadovskii M V Pis’ma ZhETF 82 217 (2005); Kuchinskii E Z, Nekrasov I A, Sadovskii M V JETP Lett. 82 198 (2005)
  56. Kuchinskii E Z, Nekrasov I A, Sadovskii M V FNT 32 528 (2006); Kuchinskii E Z, Nekrasov I A, Sadovskii M V Low Temp. Phys. 32 398 (2006)
  57. Kuchinskii E Z, Sadovskii M V Zh. Eksp. Teor. Fiz. 130 477 (2006); Kuchinskii E Z, Sadovskii M V JETP 103 415 (2006)
  58. Toschi A, Katanin A A, Held K Phys. Rev. B 75 045118 (2007)
  59. Smith J L, Si Q Phys. Rev. B 61 5184 (2000)
  60. Damascelli A, Hussain Z, Shen Z-X Rev. Mod. Phys. 75 473 (2003)
  61. Ino A et al. J. Phys. Soc. Jpn. 68 1496 (1999)
  62. Byczuk K et al. Nature Phys. 3 168 (2007)
  63. Plakida N M, Oudovenko V S Zh. Eksp. Teor. Fiz. 131 259 (2007); Plakida N M, Oudovenko V S JETP 104 230 (2007)
  64. Anderson P W Science 235 1196 (1987)
  65. Haule K et al. Phys. Rev. B 68 155119 (2003)
  66. Haule K, Kotliar G Europhys. Lett. 77 27007 (2007); Haule K, Kotliar G cond-mat/0601478
  67. Demler E, Hanke W, Zhang S-C Rev. Mod. Phys. 76 909 (2004)
  68. Halboth C J, Metzner W Phys. Rev. B 61 7364 (2000)
  69. Lichtenstein A I, Katsnelson M I Phys. Rev. B 62 R9283 (2000)
  70. Sénéchal D et al. Phys. Rev. Lett. 94 156404 (2005)
  71. Capone M, Kotliar G Phys. Rev. B 74 054513 (2006)
  72. Reiss J, Rohe D, Metzner W Phys. Rev. B 75 075110 (2007)
  73. Kyung B et al. Phys. Rev. B 73 165114 (2006)
  74. Maksimov E G Usp. Fiz. Nauk 170 1033 (2000); Maksimov E G Phys. Usp. 43 965 (2000)
  75. Kulić M L, Dolgov O V cond-mat/0610549
  76. Capone M et al. Science 296 2364 (2002)
  77. Coey J M D, Viret M, von Molnar S Adv. Phys. 48 167 (1999)
  78. Salamon M B, Jaime M Rev. Mod. Phys. 73 583 (2001)
  79. Dörr K J. Phys. D 39 R125 (2006)
  80. Chun S H et al. Phys. Rev. Lett. 84 757 (2000)
  81. Tokura Y, Tomioka Y J. Magn. Magn. Mater. 200 1 (1999)
  82. Zener C Phys. Rev. 82 403 (1951)
  83. Anderson P W, Hasegawa H Phys. Rev. 100 675 (1955)
  84. de Gennes P-G Phys. Rev. 118 141 (1960)
  85. Furukawa N J. Phys. Soc. Jpn. 64 2754 (1995)
  86. Furukawa N In Physics Of Manganites (Eds T A Kaplan, S D Mahanti) (New York: Kluwer Acad., Plenum Publ., 1999) p. 1 - 38
  87. Motome Y, Furukawa N J. Phys. Soc. Jpn. 69 3785 (2000)
  88. Nagai K, Momoi T, Kubo K J. Phys. Soc. Jpn. 69 1837 (2000)
  89. Lin C, Millis A J Phys. Rev. B 72 245112 (2005)
  90. Held K, Vollhardt D Phys. Rev. Lett. 84 5168 (2000)
  91. Tran Minh-Tien Phys. Rev. B 67 144404 (2003)
  92. Tran Minh-Tien cond-mat/0310441
  93. Chernyshev A L, Fishman R S Phys. Rev. Lett. 90 177202 (2003)
  94. Yunoki S et al. Phys. Rev. Lett. 80 845 (1998)
  95. Ramakrishnan T V et al. Phys. Rev. Lett. 92 157203 (2004)
  96. Uehara M et al. Nature 399 560 (1999)
  97. Loudon J C, Mathur N D, Midgley P A Nature 420 797 (2002)
  98. Loktev V M, Pogorelov Yu G FNT 26 231 (2000); Loktev V M, Pogorelov Yu G Low Temp. Phys. 26 171 (2000)
  99. Anderson P W Phys. Rev. 115 2 (1959)
  100. Kugel’ K I, Khomskii D I Usp. Fiz. Nauk 136 621 (1982); Kugel’ K I, Khomskii D I Sov. Phys. Usp. 25 231 (1982)
  101. van den Brink J, Khomskii D Phys. Rev. Lett. 82 1016 (1999)
  102. Millis A J, Littlewood P B, Shraiman B I Phys. Rev. Lett. 74 5144 (1995)
  103. Edwards D M Adv. Phys. 51 1259 (2002)
  104. Irkhin V Yu, Katsnel’son M I Usp. Fiz. Nauk 164 705 (1994); Irkhin V Yu, Katsnel’son M I Phys. Usp. 37 659 (1994)
  105. Brandt N B, Moshchalkov V V Adv. Phys. 33 373 (1984)
  106. Grewe M, Steglich F In Handbook On The Physics And The Chemistry Of Rare Earth Vol. 14 (Amsterdam: Elsevier, 1991) p. 343
  107. Fulde P, Keller J, Zwicknagl G In Solid State Physics: Advances In Research And Applications Vol. 41 (Eds H Ehrenreich, D Turnbull) (New York: Academic Press, 1988) p. 1
  108. Degiorgi L Rev. Mod. Phys. 71 687 (1999)
  109. Stewart G R Rev. Mod. Phys. 73 797 (2001)
  110. Hewson A C The Kondo Problem In Heavy Fermions (Cambridge: Cambridge Univ. Press, 1993)
  111. Costi T A, Manini N J. Low Temp. Phys. 126 835 (2002)
  112. Nozières P Eur. Phys. J. B 6 447 (1998)
  113. Burdin S, Georges A, Grempel D R Phys. Rev. Lett. 85 1048 (2000)
  114. Rice T M, Ueda K Phys. Rev. B 34 6420 (1986)
  115. Jarrell M Phys. Rev. B 51 7429 (1995)
  116. Pruschke Th, Bulla R, Jarrell M Phys. Rev. B 61 12799 (2000)
  117. Tahvildar-Zadeh A N et al. Phys. Rev. B 60 10782 (1999)
  118. Grenzebach C et al. Phys. Rev. B 74 195119 (2006)
  119. Smith V E, Logan D E, Krishnamurthy H R Eur. Phys. J. B 32 49 (2003)
  120. Fulde P Ann. Phys. (Berlin) 9 871 (2000)
  121. Möller B, Wölfle P Phys. Rev. B 48 10320 (1993)
  122. Doradziński R, Spalek J Phys. Rev. B 58 3293 (1998)
  123. Sun P, Kotliar G Phys. Rev. Lett. 91 037209 (2003)
  124. Sun P, Kotliar G Phys. Rev. Lett. 95 016402 (2005)
  125. de’ Medici L et al. Phys. Rev. Lett. 95 066402 (2005)
  126. Ohashi T et al. Phys. Rev. B 70 245104 (2004)
  127. Anders F B Phys. Rev. Lett. 83 4638 (1999)
  128. Steglich F et al. Phys. Rev. Lett. 43 1892 (1979)
  129. Ott H R et al. Phys. Rev. Lett. 50 1595 (1983)
  130. Stewart G R et al. Phys. Rev. Lett. 52 679 (1984)
  131. Varma C M cond-mat/0510019
  132. Volovik G E, Gor’kov L P Pis’ma ZhETF 39 550 (1984); Volovik G E, Gor’kov L P JETP Lett. 39 674 (1984)
  133. Luke G M et al. Nature 394 558 (1998)
  134. Sigrist M, Ueda K Rev. Mod. Phys. 63 239 (1991)
  135. Cox D L, Maple M B Phys. Today 48 (2) 32 (1995)
  136. Khomskii D I Phys. Scr. 72 CC8 (2005)
  137. Nagaev E L Usp. Fiz. Nauk 165 529 (1995); Nagaev E L Phys. Usp. 38 497 (1995)
  138. Pourovskii L V et al. cond-mat/0702342
  139. Ren X et al. Phys. Rev. B 74 195114 (2006)
  140. Kuneš J et al. Phys. Rev. B 75 165115 (2007)
  141. Pchelkina Z V et al. Phys. Rev. B 75 035122 (2007)
  142. Braun J et al. Phys. Rev. Lett. 97 227601 (2006)
  143. Eckstein M et al. Phys. Rev. B 75 125103 (2007)
  144. Aryanpour K, Pickett W E, Scalettar R T Phys. Rev. B 74 085117 (2006)
  145. Merino J, Powell B J, McKenzie R H Phys. Rev. B 73 235107 (2006)
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