Issues

 / 

2003

 / 

February

  

Reviews of topical problems


Short-range order in strongly correlated Fermi systems


All-Russian Scientific Research Institute of Experimental Physics — Federal Nuclear Centre, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607190, Russian Federation

The role of short-range order (SRO) in strongly correlated metallic systems is discussed. Magnetic neutron scattering experiments show that SRO is a universal property of such systems. Different theoretical approaches to the analysis of SRO are considered. Microscopic models based on infinite-dimensional lattice solutions (the Monte Carlo variational technique, the 1/D+1/D2 expansion for the Gutzwiller trial wave function, and the dynamical mean-field theory) do not correctly describe SRO in strongly correlated systems. A variational theory of SRO in Fermi systems is presented in which, in addition to Gutzwiller’s variational parameter, a set of new parameters describing nonlocal short-range correlations is used.

Fulltext pdf (706 KB)
Fulltext is also available at DOI: 10.1070/PU2003v046n02ABEH001284
PACS: 71.10.Fd, 71.27.+a, 71.28.+d (all)
DOI: 10.1070/PU2003v046n02ABEH001284
URL: https://ufn.ru/en/articles/2003/2/a/
000183400800001
Citation: Kudasov Yu B "Short-range order in strongly correlated Fermi systems" Phys. Usp. 46 117–138 (2003)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кудасов Ю Б «Ближний порядок в сильно коррелированных ферми-системах» УФН 173 121–144 (2003); DOI: 10.3367/UFNr.0173.200302a.0121

References (107) ↓ Cited by (7) Similar articles (20)

  1. Ziman J M Models of Disorder: the Theoretical Physics of Homogeneously Disordered Systems (Cambridge: Cambridge Univ. Press, 1979) [Translated into Russian (Moscow: Mir Publ., 1982)]
  2. Mott N F Metal – Insulator Transitions (London: Taylor & Francis, 1974) [Translated into Russian (Moscow: Nauka, 1979)]
  3. Hewson A C The Kondo Problem to Heavy Fermions (Cambridge: Cambridge Univ. Press, 1997)
  4. Plakida N M Vysokotemperaturnye Sverkhprovodniki (High-Temperature Superconductors, Moscow: Mezhdunarodnaya Programma Obrazovaniya, 1996) [Translated into English: High-Temperature Superconductivity: Experiment and Theory (Berlin: Springer, 1995)]
  5. Bao W et al. Phys. Rev. B 58 12727 (1998); cond-mat/9804320
  6. Rossat-Mignod J et al. J. Magn. Magn. Mater. 76 – 77 376 (1988)
  7. Protogenov A P Usp. Fiz. Nauk 162 (7) 1 (1992) [Sov. Phys. Usp. 35 535 (1992)]
  8. Val’kov V V, Ovchinnikov S G Kvazichastitsy v Sil’no Korrelirovannykh Sistemakh (Quasiparticles in Strongly Correlated Systems, Novosibirsk: Izd. SO RAN, 2001)
  9. Izyumov Yu A Usp. Fiz. Nauk 165 403 (1995) [Phys. Usp. 38 385 (1995)]
  10. Ovchinnikov S G Usp. Fiz. Nauk 167 1043 (1997) [Phys. Usp. 40 993 (1997)]
  11. Senatore G, March N H Rev. Mod. Phys. 66 445 (1994)
  12. Georges A et al. Rev. Mod. Phys. 68 13 (1996)
  13. Lieb E H, Wu F Y Phys. Rev. Lett. 20 1445 (1968)
  14. Gebhard F The Mott Metal – Insulator Transition: Models and Methods (New York: Springer-Verlag, 1997)
  15. Gutzwiller M C Phys. Rev. 134 A923 (1964); 137 A1726 (1965)
  16. Zaitsev R O Zh. Eksp. Teor. Fiz. 75 2362 (1978) [Sov. Phys. JETP 48 1193 (1978)]
  17. Metzner W, Vollhardt D Phys. Rev. Lett. 59 121 (1987)
  18. Metzner W, Vollhardt D Phys. Rev. Lett. 62 324 (1989)
  19. Metzner W Z. Phys. B: Cond. Mat. 77 253 (1989)
  20. Yokoyama H, Shiba H J. Phys. Soc. Jpn. 56 1490, 3582 (1987)
  21. Kudasov Yu B Phys. Lett. A 245 153 (1998)
  22. Kudasov Yu B Zh. Eksp. Teor. Fiz. 117 624 (2000) [JETP 90 544 (2000)]
  23. Moriya T Spin Fluctuations in Itinerant Electron Magnetism (Berlin: Springer-Verlag, 1985) [Translated into Russian (Moscow: Mir, 1988)]
  24. Raymond S et al. J. Low Temp. Phys. 109 205 (1997)
  25. Kuwamoto H, Honig J M, Appel J Phys. Rev. B 22 2626 (1980)
  26. Bugaev A A, Zakharchenya B P, Chudnovskii F A Fazovyi Perekhod Metall – Poluprovodnik i Ego Primenenie (The Metal – Insulator Phase Transition and Its Application, Leningrad: Nauka, 1979)
  27. Brinkman W F, Rice T M Phys. Rev. B 2 4302 (1970)
  28. Bao W et al. Phys. Rev. Lett. 71 766 (1993)
  29. Park J-H et al. Phys. Rev. B 61 11506 (2000)
  30. Bao W et al. J. Magn. Magn. Mater. 177 – 181 283 (1998)
  31. Kondo S et al. Phys. Rev. Lett. 78 3729 (1997)
  32. Johnston D C Physica B 281 21 (2000); cond-mat/9910404
  33. Urano C et al. Phys. Rev. Lett. 85 1052 (2000)
  34. Anisimov V I et al. Phys. Rev. Lett. 83 364 (1999); cond-mat/9903372
  35. Fulde P et al., cond-mat/0101455
  36. Lee S-H et al. Phys. Rev. Lett. 86 5554 (2001)
  37. Stewart G R, Fisk Z, Wire M S Phys. Rev. B 30 482 (1984)
  38. Tsujii H et al. Phys. Rev. Lett. 84 5407 (2000)
  39. Aeppli G et al. Phys. Rev. Lett. 57 122 (1986)
  40. Aeppli G, Busher E, Mason T E, in Physical Phenomena at High Magnetic Fields (Eds E Manousakis et al., Redwood City, Calif.: Addison-Wesley, 1992) p. 175
  41. Aeppli G et al. Phys. Rev. Lett. 58 808 (1987)
  42. Goldman A I et al. J. Magn. Magn. Mater. 63 – 64 380 (1987)
  43. Bernhoeft N R, Lonzarich G G J. Phys.: Condens. Matter 7 7325 (1995)
  44. Regnault L P et al. Phys. Rev. B 38 4481 (1988)
  45. Broholm C et al. Phys. Rev. Lett. 58 917 (1987)
  46. Walter U, Wohleben D, Fisk Z Z. Phys. B: Cond. Mat. 62 235 (1986)
  47. Doniach S Physica B+C 91 231 (1977)
  48. Kambe S et al. J. Phys. Soc. Jpn. 65 3294 (1996)
  49. von Löhneysen H J. Phys.: Condens. Matter 8 9689 (1996)
  50. Sadovskii M V Usp. Fiz. Nauk 171 539 (2001) [Phys. Usp. 44 515 (2001)]
  51. Mason T E, cond-mat/9812287
  52. Birgeneau R J et al., in Mechanisms of High Temperature Superconductivity (Springer Ser. in Materials Sci., Vol. 11, Eds H Kamimura, A Oshiyama, Berlin: Springer-Verlag, 1989) p. 120
  53. Bourges Ph "Spin dynamics in high-TC cuprates", in 19th General Conf. of the Condensed Matter Division of the European Physical Society, Brighton, UK, 7 – 11 April 2002, Europhysics Conf. Abstracts Vol. 26A (2002) p. 41; cond-mat/0009373
  54. Bourges Ph et al., cond-mat/0006085
  55. Fawcett E et al. Phys. Rev. Lett. 61 558 (1988)
  56. Hayden S M et al. Phys. Rev. Lett. 84 999 (2000); cond-mat/9911442
  57. Izyumov Yu A, Katsnel’son M I, Skryabin Yu N Magnetizm Kollektivizirovannykh Elektronov (Itinerant Electron Magnetism, Moscow: Fizmatlit, 1994)
  58. Sanchez-Castro C, Bedell K S, Cooper B R Phys. Rev. B 47 6879 (1993)
  59. Fazekas P Lecture Notes on Electron Correlation and Magnetism (Singapore: World Scientific, 1999)
  60. Coqblin B et al. J. Phys. Soc. Jpn. 65 (Suppl. B) 64 (1996)
  61. Lacroix C et al. Physica B 230 – 232 503 (1997)
  62. Rappoport T G, Figueira M S, Continentino M A Phys. Lett. A 264 497 (2000); cond-mat/9904221
  63. Fye R M, Hirsch J E Phys. Rev. B 40 4780 (1989)
  64. Kotliar G, Ruckenstein A E Phys. Rev. Lett. 57 1362 (1986)
  65. Trapper U, Ihle D, Fehske H Phys. Rev. B 52 R11553 (1995)
  66. Ogawa T, Kanda K, Matsubara T Prog. Theor. Phys. 53 614 (1975)
  67. Vollhardt D Rev. Mod. Phys. 56 99 (1984)
  68. Fulde P Electron Correlations in Molecules and Solids 3rd ed. (Berlin: Springer-Verlag, 1995)
  69. Gebhard F, Vollhardt D Phys. Rev. Lett. 59 1472 (1987); Phys. Rev. B 38 6911 (1988)
  70. Gebhard F Phys. Rev. B 41 9452 (1990)
  71. Harris A B, Lange R V Phys. Rev. 157 295 (1967)
  72. Chao K A, Spalek J, Oles A M J. Phys. C: Solid State Phys. 10 L271 (1977)
  73. Gros C, Joynt R, Rice T M Phys. Rev. B 36 381 (1987)
  74. Izyumov Yu A Usp. Fiz. Nauk 167 465 (1997) [Phys. Usp. 40 445 (1997)]
  75. Horsch P, Fulde P Z. Phys. B: Cond. Mat. 36 23 (1979)
  76. Stollhoff G, Fulde P Z. Phys. B: Cond. Mat. 29 231 (1978)
  77. Stollhoff G, Fulde P Z. Phys. B: Cond. Mat. 26 257 (1977)
  78. Razafimandimby H A Z. Phys. B: Cond. Mat. 49 33 (1982)
  79. Kubo R J. Phys. Soc. Jpn. 17 1100 (1962)
  80. Stollhoff G, Fulde P J. Chem. Phys. 73 4548 (1980)
  81. Rościszewski K, Chaumet M, Fulde P Chem. Phys. 143 47 (1990)
  82. Kikuchi R Phys. Rev. 81 988 (1951)
  83. Kikuchi R, Brush S G J. Chem. Phys. 47 195 (1967)
  84. Kikuchi R Prog. Theor. Phys. Suppl. 115 1 (1995)
  85. Morita T Prog. Theor. Phys. Suppl. 115 27 (1995)
  86. Tanaka G, Kimura M Prog. Theor. Phys. Suppl. 115 207 (1995)
  87. Pelizzola A Phys. Rev. B 61 11510 (2000)
  88. Cenedese P, Cahn J W Prog. Theor. Phys. Suppl. 115 95 (1995)
  89. Ishii T J. Phys. Soc. Jpn. 69 139 (2000)
  90. Wada K, Kaburagi M Prog. Theor. Phys. Suppl. 115 273 (1995)
  91. An G J. Stat. Phys. 52 727 (1988)
  92. Morita T J. Stat. Phys. 59 819 (1990)
  93. Hubbard J Proc. R. Soc. London Ser. A 281 401 (1964)
  94. Manousakis E Rev. Mod. Phys. 63 1 (1991)
  95. Thomas G A et al. Phys. Rev. Lett. 73 1529 (1994)
  96. des Cloizeaux J J. Phys. (Paris) 20 606 (1959)
  97. Plakida N M, Oudovenko V S Phys. Rev. B 59 11949 (1999)
  98. Plakida N M et al., cond-mat/0104234
  99. Kudasov Yu B Fiz. Tverd. Tela 43 1491 (2001) [Phys. Solid State 43 1552 (2001)]
  100. Schork T, Blawid S, Igarashi J Phys. Rev. B 59 9888 (1999)
  101. Kudasov Yu B, cond-mat/0012018
  102. Kudasov Yu B Zh. Eksp. Teor. Fiz. 109 174 (1996) [JETP 82 92 (1996)]
  103. Kudasov Yu B Fiz. Tverd. Tela 38 1335 (1996) [Phys. Solid State 38 739 (1996)]
  104. Hubbard J Proc. R. Soc. London Ser. A 276 238 (1963)
  105. Zubarev D N Usp. Fiz. Nauk 71 71 (1960) [Sov. Phys. Usp. 3 320 (1960)]
  106. Fulde P Ann. Phys. (Leipzig) 9 871 (2000)
  107. Lavagna M, Pepin C, in Proc. of the XXXVIII Cracow School of Theoretical Physics, Zakopane, Poland, June 1 – 10, 1998; Acta Phys. Pol. B 29 3753 (1998); cond-mat/9903093

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions