RSS feeds
ÐóññêèéEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1995

 / 

April

←  →

Reviews of topical problems


Hubbard model of strong correlations


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

A state-of-the-art review is given of the investigations of the Hubbard model, which is the main model used in the theory of strongly correlated electron systems. It is shown how the main correlation effects — the metal-insulator phase transition, the appearance of localised magnetic moments, and the breakdown of the Fermi-liquid behaviour — appear in the case of strong electron correlations when U ~ W, where U is the Coulomb repulsion parameter and W is the band width. Different approaches to the problem, not based on perturbation theory in terms of the parameter U/W or W/U, are presented. A new method in the theory of strongly correlated systems, in which the limit of infinite number of dimensions of space, d = infty, is the main feature of the review. The physical results obtained by this approach are compared with those deduced by traditional methods. An overview of the behaviour of strongly correlated systems is given for wide ranges of the model parameters U and W, and of the electron density n.

Fulltext pdf (660 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n04ABEH000081
PACS: 71.27.+a
DOI: 10.1070/PU1995v038n04ABEH000081
URL: https://ufn.ru/en/articles/1995/4/b/
A1995RH54700002
Citation: Izyumov Yu A "Hubbard model of strong correlations" Phys. Usp. 38 385–408 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Èçþìîâ Þ À «Ìîäåëü Õàááàðäà â ðåæèìå ñèëüíûõ êîððåëÿöèé» ÓÔÍ 165 403–427 (1995); DOI: 10.3367/UFNr.0165.199504b.0403

References (112) Cited by (79) ↓ Similar articles (20)

  1. Kundu S, Sénéchal D SciPost Phys. Core 7 (2) (2024)
  2. Lyakhova Ya S, Astretsov G V, Rubtsov A N Phys. Usp. 66 775 (2023)
  3. Val’kov V V Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 164 550 (2023)
  4. Tashpulatov S M Proc. Steklov Inst. Math. 323 S279 (2023)
  5. Lyakhova Ya S, Astretsov G V, Rubtsov A N Uspekhi Fizicheskikh Nauk 825 (2023)
  6. Val’kov V V J. Exp. Theor. Phys. 137 474 (2023)
  7. Orlov Yu S, Nikolaev S V et al Uspekhi Fizicheskikh Nauk 193 689 (2023)
  8. [Orlov Yu S, Nikolaev S V et al Phys. Usp. 66 647 (2023)]
  9. Val’kov V V, Zlotnikov A O, Gamov A Jetp Lett. 118 328 (2023)
  10. Val’kov V V, Zlotnikov A O, Gamov A Pisʹma V žurnal êksperimentalʹnoj I Teoretičeskoj Fiziki 118 330 (2023)
  11. Mironov G I Physica B: Condensed Matter 670 415318 (2023)
  12. Val’kov V V Jetp Lett. 116 896 (2022)
  13. Mitskan V A, Korovushkin M M, Dzebisashvili D M Jetp Lett. 114 289 (2021)
  14. Shatnii T  D, Len E  G et al Metallofiz. Noveishie Tekhnol. 43 1269 (2021)
  15. Len E  G, Shatnii T  D et al Metallofiz. Noveishie Tekhnol. 43 1005 (2021)
  16. Kizhaev F G, Medvedev N N, Starygina O V Russ Phys J 63 1562 (2021)
  17. Val’kov V V, Dzebisashvili D M et al Phys.-Usp. 64 641 (2021)
  18. Principles of Inorganic Materials Design 1 (2020) p. 325
  19. Len E  G, Lizunov V  V et al Metallofiz. Noveishie Tekhnol. 42 289 (2020)
  20. Grigorishin K V Physica C: Superconductivity And Its Applications 562 56 (2019)
  21. Val’kov V V, Dzebisashvili D M et al J Low Temp Phys 191 408 (2018)
  22. Streltsov S V, Khomskii D I Uspekhi Fizicheskikh Nauk 187 1205 (2017) [Streltsov S V, Khomskii D I Phys.-Usp. 60 1121 (2017)]
  23. Lizunov V  V, Len E  G et al Metallofiz. Noveishie Tekhnol. 36 575 (2016)
  24. Len E  G, Lizunov V  V et al Metallofiz. Noveishie Tekhnol. 37 1405 (2016)
  25. Kagan M Yu, Mitskan V A, Korovushkin M M Uspekhi Fizicheskikh Nauk 185 785 (2015) [Kagan M Yu, Mitskan V A, Korovushkin M M Phys.-Usp. 58 733 (2015)]
  26. Sherman A Physics Letters A 379 1912 (2015)
  27. Kagan M Yu, Val’kov V V et al J. Exp. Theor. Phys. 118 995 (2014)
  28. Irkhin V Yu, Zarubin A V J. Exp. Theor. Phys. 116 843 (2013)
  29. Belonenko M B, Fedorov E G J Russ Laser Res 33 55 (2012)
  30. Belonenko M B, Fedorov E G Opt. Spectrosc. 112 249 (2012)
  31. Anokhin A O, Zarubin A V, Irkhin V Yu Phys. Metals Metallogr. 113 550 (2012)
  32. Belonenko M B, Lebedev N G, Yanyushkina N N Phys. Solid State 54 174 (2012)
  33. Belonenko M B, Lebedev N G, Yanyushkina N N Phys. Solid State 53 2520 (2011)
  34. Yaltychenko O V, Kanarovskii E Yu Surf. Engin. Appl.Electrochem. 47 549 (2011)
  35. Belonenko M B, Lebedev N G et al Russ. J. Phys. Chem. B 5 215 (2011)
  36. Gavrichkov V A, Ovchinnikov S G et al J. Exp. Theor. Phys. 112 860 (2011)
  37. Belonenko M B, Lebedev N G et al Phys. Scr. 82 025704 (2010)
  38. Yanushkina N N, Belonenko M B, Lebedev N G Opt. Spectrosc. 108 618 (2010)
  39. Principles of Inorganic Materials Design 1 (2010) p. 285
  40. Belonenko M B, Lebedev N G, Yanyushkina N N Russ. J. Phys. Chem. B 4 709 (2010)
  41. Belonenko M B, Lebedev N G et al Phys. Solid State 52 1952 (2010)
  42. Szczȩs`niak R Physics Letters A 373 473 (2009)
  43. Ivanchenko G S, Lebedev N G Phys. Solid State 51 2421 (2009)
  44. Stasyuk I V, Stasyuk I V i dr Teor. Mat. Fiz. 154 164 (2008) [Stasyuk I V, Hera O B Theor Math Phys 154 137 (2008)]
  45. Repetsky S P, Tatarenko V A et al Usp. Fiz. Met. 9 259 (2008)
  46. Izyumov Yu A, Kurmaev E Z Uspekhi Fizicheskikh Nauk 178 25 (2008)
  47. Sadovskii M V Uspekhi Fizicheskikh Nauk 178 1243 (2008) [Sadovskii M V Phys.-Usp. 51 1201 (2008)]
  48. Kopaev Yu V, Belyavskii V I, Kapaev V V Uspekhi Fizicheskikh Nauk 178 202 (2008)
  49. Szczȩśniak R Solid State Communications 138 347 (2006)
  50. MALOZOVSKY Y M, FAN J D Int. J. Mod. Phys. B 19 77 (2005)
  51. MALOZOVSKY Y M, FAN J D Int. J. Mod. Phys. B 19 87 (2005)
  52. Kuz’min E V 31 143 (2005)
  53. Mironov G I Phys. Solid State 47 1111 (2005)
  54. Irkhin V Yu, Zarubin A V Phys. Rev. B 70 (3) (2004)
  55. Val’kov V I, Golovchan A V 30 711 (2004)
  56. Bryksa V P Semicond. Phys. Quantum Electron. Optoelectron. 7 43 (2004)
  57. Piryatinski Yu P, Repetsky Y S, Shatnii T D Opt. Spectrosc. 96 382 (2004)
  58. Kudasov Yu B Uspekhi Fizicheskikh Nauk 173 121 (2003)
  59. Ovchinnikov S G Uspekhi Fizicheskikh Nauk 173 27 (2003)
  60. Korshunov M M, Ovchinnikov S G Phys. Solid State 45 1415 (2003)
  61. Rohrbach A, Hafner J, Kresse G J. Phys.: Condens. Matter 15 979 (2003)
  62. Loktev V M 28 69 (2002)
  63. Shipitsyn E V Phys. Solid State 43 1750 (2001)
  64. Izyumov Yu A, Skryabin Yu N Uspekhi Fizicheskikh Nauk 171 121 (2001) [Izyumov Yu A, Skryabin Yu N Phys.-Usp. 44 109 (2001)]
  65. Malozovsky Y M, Fan J D, Bagayoko D Physica C: Superconductivity And Its Applications 364-365 59 (2001)
  66. Malozovsky Y M, Fan J D Physica C: Superconductivity 341-348 1691 (2000)
  67. DIDUKH L, DOVHOPYATY YU, SKORENKYY YU Int. J. Mod. Phys. B 14 729 (2000)
  68. Zarubin A V, Irkhin V Yu Phys. Solid State 41 963 (1999)
  69. Didukh L D, Hankevych V V 25 354 (1999)
  70. Izyumov Yu A Uspekhi Fizicheskikh Nauk 169 225 (1999)
  71. Didukh L, Hankevych V, Dovhopyaty Yu Physica B: Condensed Matter 259-261 719 (1999)
  72. Didukh L Phys. Stat. Sol. (b) 206 R5 (1998)
  73. Ivanov M A, Loktev V M, Pogorelov Yu G 24 463 (1998)
  74. Kuz’min E V Phys. Solid State 39 169 (1997)
  75. Mierzejewski M, Zieliński J Phys. Rev. B 56 11925 (1997)
  76. Bychkov A M, Openov L A, Semenihin I A Jetp Lett. 66 298 (1997)
  77. Krasheninnikov A V, Openov L A et al J. Exp. Theor. Phys. 85 682 (1997)
  78. Mironov G I Phys. Solid State 39 1420 (1997)
  79. Kapitonov V S, Kapitonov V S i dr Teor. Mat. Fiz. 107 269 (1996) [Kapitonov V S, Sevastyanov P A Theor Math Phys 107 635 (1996)]
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions