Issues

 / 

2026

 / 

January

  

Reviews of topical problems


Real-space pairing and formation of Fermi—Bose mixture in BaBiO3-based family of superconducting oxides

  a,   b, c
a National Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation
b HSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation
c P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

Recently, using X-ray free-electron laser radiation, the first direct experimental evidence of the existence of a real-space paired state of charge carriers was obtained in the parent compound BaBiO3 of the bismuthate family of high-temperature superconductors (HTSCs), whose perovskite-like structure is similar to that of cuprate HTSCs. This confirmed the fundamental premises of our previously formulated model of a spatially separated Fermi—Bose mixture, implying a new, original mechanism for high-temperature superconductivity in bismuthates. In this review, we discuss the progress achieved with this model based on results obtained with an X-ray free-electron laser and go through details of the complete phase diagram of the superconducting and normal states in Ba1−xKxBiO3 bismuth oxides at various potassium doping concentrations. We also discuss new, unique quantum states of matter in the form of a bosonic insulator (semiconductor) with initially paired charge carriers and two energy gaps, and a bosonic metal shunted by a fermionic component. We also provide experimental evidence that local pairing of electrons and holes is responsible for the set of the main anomalous properties of the bismuthate family. Given the numerous similarities in the behavioral patterns of various families of perovskite superconductors, we believe that our work will provide new impetus to understanding the nature of high-temperature superconductivity in bismuth oxides and other families, including cuprate HTSCs.

Fulltext pdf (909 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2025.09.040028
Keywords: high-temperature superconductivity, perovskite structure, Fermi—Bose mixture, real-space pairing
PACS: 41.60.Cr, 61.05.cj, 61.10.Ht, 71.45.Lr, 74.20.Mn, 74.25.Dw, 74.70.−b, 74.72.Cj, 78.47.+p (all)
DOI: 10.3367/UFNe.2025.09.040028
URL: https://ufn.ru/en/articles/2026/1/c/
Citation: Menushenkov A P, Kagan M Yu "Real-space pairing and formation of Fermi—Bose mixture in BaBiO3-based family of superconducting oxides" Phys. Usp. 69 25–41 (2026)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 8th, April 2025, revised: 5th, September 2025, 10th, September 2025

Оригинал: Менушенков А П, Каган М Ю «Спаривание в реальном пространстве и образование ферми-бозе смеси в семействе сверхпроводящих оксидов на основе BaBiO3» УФН 196 28–47 (2026); DOI: 10.3367/UFNr.2025.09.040028

References (136) ↓ Similar articles (20)

  1. Rice T M, Sneddon L Phys. Rev. Lett. 47 689 (1981)
  2. Varma C M Phys. Rev. Lett. 61 2713 (1988)
  3. Anderson P W Phys. Rev. Lett. 34 953 (1975)
  4. Chernik I A et al Pis’ma Zh. Eksp. Teor. Fiz. 48 550 (1988); Chernik I A et al JETP Lett. 48 596 (1988)
  5. Miyake K Prog. Theor. Phys. 69 1794 (1983)
  6. Khomskii D I Transition Metal Compounds (Cambridge: Cambridge Univ. Press, 2014)
  7. Menushenkov A P et al Physica B 208-209 295 (1995)
  8. Ignatov A Yu, Menushenkov A P, Chernov V A Physica C 271 32 (1996)
  9. Menushenkov A P et al JETP Lett. 67 1034 (1998); Menushenkov A P et al Pis’ma Zh. Eksp. Teor. Fiz. 67 977 (1998)
  10. Menushenkov A P, Klementev K V J. Phys. Condens. Matter 12 3767 (2000)
  11. Balzarotti A et al Solid State Commun. 49 887 (1984)
  12. Bouwmeester R L, Brinkman A Rev. Phys. 6 100056 (2021)
  13. Menushenkov A P JETP Lett. 121 562 (2025); Menushenkov A P Pis’ma Zh. Eksp. Teor. Fiz. 121 589 (2025)
  14. Menushenkov A P et al Phys. Rev. Research 6 023307 (2024)
  15. Menushenkov A P et al J. Exp. Theor. Phys. 93 615 (2001); Menushenkov A P et al Zh. Eksp. Teor. Fiz. 120 700 (2001)
  16. Menushenkov A P et al Physica B 312-313 31 (2002)
  17. Menushenkov A P et al J. Supercond. Novel Magn. 29 701 (2016)
  18. Sleight A W, Gillson J L, Bierstedt P E Solid State Commun. 17 27 (1975)
  19. Bednorz J G, Müller K A Z. Phys. B 64 189 (1986)
  20. Mattheiss L F, Gyorgy E M, Johnson D W (Jr.) Phys. Rev. B 37 3745 (1988)
  21. Uchida S, Kitazawa K, Tanaka S Phase Transit. 8 95 (1987)
  22. Cox D E, Sleight A W Solid State Commun. 19 969 (1976)
  23. Cox D E, Sleight A W Acta Cryst. B 35 1 (1979)
  24. Franchini C, Kresse G, Podloucky R Phys. Rev. Lett. 102 256402 (2009)
  25. Qvarford M et al Phys. Rev. B 54 6700 (1996)
  26. Plumb N C et al Phys. Rev. Lett. 117 037002 (2016)
  27. Mattheiss L F, Hamann D R Phys. Rev. B 26 2686 (1982)
  28. Mattheiss L F, Hamann D R Phys. Rev. B 28 4227 (1983)
  29. Khazraie A et al Phys. Rev. B 97 075103 (2018)
  30. Dalpian G M et al Phys. Rev. B 98 075135 (2018)
  31. Jurczek E, Rice T M Europhys. Lett. 1 225 (1986)
  32. Sarkar S et al Nano Lett. 21 8433 (2021)
  33. Merz M et al Europhys. Lett. 72 275 (2005)
  34. Menushenkov A P, Protasov E A, Chubunova E V Fiz. Tverd. Tela 23 3703 (1981); Menushenkov A P, Protasov E A, Chubunova E V Sov. Phys. Solid State 23 2155 (1981)
  35. Foyevtsova K et al Phys. Rev. B 91 121114 (2015)
  36. Bharath M et al J. Phys. Condens. Matter 32 055504 (2020)
  37. Mott N Supercond. Sci. Technol. 4 S59 (1991)
  38. Taraphder A et al Phys. Rev. B 52 1368 (1995)
  39. Taraphder A et al Int. J. Mod. Phys. B 10 863 (1996)
  40. Micnas R, Ranninger J, Robaszkiewicz S Rev. Mod. Phys. 62 113 (1990)
  41. Bischofs I B, Kostur V N, Allen P B Phys. Rev. B 65 115112 (2002)
  42. Unger P, Fulde P Phys. Rev. B 47 8947 (1993)
  43. Anderson P W Frontiers And Borderlines In Many Particle Physics, Proc. Of The Enrico Fermi Intern. School Of Physics, Varenna, Italy, July 1987 (Intern. School Of Physics "Enrico Fermi", Course 104, Eds R A Broglia, J R Schrieffer) (Amsterdam: North-Holland, 1988)
  44. Zhang F C, Rice T M Phys. Rev. B 37 3759 (1988)
  45. Lin H Q Phys. Rev. B 44 4674 (1991)
  46. Kagan M Yu, Rice T M J. Phys. Condens. Matter 6 3771 (1994)
  47. Kagan M Yu et al Phys. Rev. B 57 5995 (1998)
  48. Kagan M Yu, Val’kov V V, Woelfle P Low Temp. Phys. 37 834 (2011); Kagan M Yu, Val’kov V V, Woelfle P Fiz. Nizk. Temp. 37 1046 (2011)
  49. Emery V J, Kivelson S A, Lin H Q Phys. Rev. Lett. 64 475 (1990)
  50. Pei S et al Phys. Rev. B 41 4126 (1990)
  51. Sugai S Phys. Rev. B 35 3621 (1987)
  52. Menushenkov A P, Troyan I A, Eremets M I JETP Lett. 77 521 (2003); Menushenkov A P, Troyan I A, Eremets M I Pis’ma Zh. Eksp. Teor. Fiz. 77 620 (2003)
  53. Mankowsky R et al Struct. Dyn. 4 044007 (2017)
  54. Mitrano M et al Sci. Adv. 5 eaax3346 (2019)
  55. Baykusheva D R et al Phys. Rev. X 12 011013 (2022)
  56. Jang H et al Sci. Adv. 8 eabk0832 (2022)
  57. Gerasimova N et al J. Synchrotron Rad. 29 1299 (2022)
  58. Kobayashi K et al Phys. Rev. B 59 15100 (1999)
  59. Namatame H et al Phys. Rev. B 48 16917 (1993)
  60. Lukyanov A E et al Phys. Rev. Research 2 043207 (2020)
  61. Tajima S et al Phys. Rev. B 32 6302 (1985)
  62. Tajima S et al Phys. Rev. B 35 696 (1987)
  63. Geballe T H, Moyzhes B Y Physica C 341-348 1821 (2000)
  64. Agterberg D F et al Annu. Rev. Condens. Matter Phys. 11 231 (2020)
  65. Božović I, Levy J Nature Phys. 16 712 (2020)
  66. Bastiaans K M et al Science 374 608 (2021); Bastiaans K M et al arXiv:2101.08535
  67. Cheng G et al Nature 521 196 (2015)
  68. Eagles D M Phys. Rev. 186 456 (1969)
  69. Hellman E S et al Phys. Rev. B 44 9719 (1991)
  70. Hellman E S, Hartford E H (Jr.) Phys. Rev. B 52 6822 (1995)
  71. Nagoshi M et al J. Phys. Condens. Matter 4 5769 (1992)
  72. Wertheim G K, Remeika J P, Buchanan D N E Phys. Rev. B 26 2120 (1982)
  73. Wagener T J et al Phys. Rev. B 40 4532 (1989)
  74. Pudelko W R et al Physica B 591 412226 (2020)
  75. Kagan M Yu Modern Trends In Superconductivity And Superfluidity (Dordrecht: Springer, 2013)
  76. Kagan M Yu, Bianconi A Condens. Matter 4 (2) 51 (2019)
  77. Kagan M Yu et al JETP Lett. 117 755 (2023); Kagan M Yu et al Pis’ma Zh. Eksp. Teor. Fiz. 117 754 (2023)
  78. Kagan M Yu et al Zh. Eksp. Teor. Fiz. 166 89 (2024)
  79. Kagan M Yu, Mazur E A J. Exp. Theor. Phys. 132 596 (2021); Kagan M Yu, Mazur E A Zh. Eksp. Teor. Fiz. 159 696 (2021)
  80. Kagan M Yu et al Phys. Rev. B 57 5995 (1998)
  81. Kagan M Yu et al Physica B 284-288 447 (2000)
  82. Kagan M Yu JETP Lett. 103 728 (2016); Kagan M Yu Pis’ma Zh. Eksp. Teor. Fiz. 103 822 (2016)
  83. Mazur E A, Ikhsanov R Sh, Kagan M Yu J. Phys. Conf. Ser. 2036 012019 (2021)
  84. Turlapov A V, Kagan M Yu J. Phys. Condens. Matter 29 383004 (2017)
  85. Kagan M Yu, Turlapov A V Phys. Usp. 62 215 (2019); Kagan M Yu, Turlapov A V Usp. Fiz. Nauk 189 225 (2019)
  86. Khasanova N R et al Physica C 305 275 (1998)
  87. Menushenkov A P et al Phys. Solid State 43 613 (2001); Menushenkov A P et al Fiz. Tverd. Tela 43 591 (2001)
  88. Kagan M Yu, Kugel K I, Rakhmanov A L Phys. Rep. 916 1 (2021)
  89. Kagan Yu, Prokof’ev N V Zh. Eksp. Teor. Fiz. 90 2176 (1986); Kagan Yu, Prokof’ev N V Sov. Phys. JETP 63 1276 (1986)
  90. Kagan Yu, Prokof’ev N V Zh. Eksp. Teor. Fiz. 93 366 (1987); Kagan Yu, Prokof’ev N V Sov. Phys. JETP 66 211 (1987)
  91. Kagan M Yu, Kugel K I, Rakhmanov A L arXiv:2109.12684
  92. Kagan M Yu, Val’kov V V J. Exp. Theor. Phys. 113 156 (2011); Kagan M Yu, Val’kov V V Zh. Eksp. Teor. Fiz. 140 179 (2011)
  93. Kagan M Yu, Val’kov V V J. Supercond. Nov. Magn. 25 1379 (2012)
  94. Anderson P W Phys. Rev. Lett. 18 1049 (1967)
  95. Anderson P W Phys. Rev. 164 352 (1967)
  96. Yang C et al Science 366 1505 (2019)
  97. Yang C et al Nature 601 205 (2022)
  98. Sleight A W Physica C 514 152 (2015)
  99. Bishop A R, Mihailovic D, de León J M J. Phys. Condens. Matter 15 L169 (2003)
  100. Menushenkov A P et al J. Phys. Conf. Ser. 190 012093 (2009)
  101. Menushenkov A et al Z. Kristallogr. 225 487 (2010)
  102. Menushenkov A P et al J. Surf. Investig. 7 407 (2013); Menushenkov A P et al Poverkh. Rentgen., Sinkhrotron. Neitron. Issled. (5) 10 (2013)
  103. Menushenkov A J. Synchrotron Rad. 10 369 (2003)
  104. Velasco V et al Phys. Rev. B 105 174305 (2022)
  105. Oh J-Y, Yang D-S, Kang B Ceram. Int. 49 25767 (2023)
  106. Velasco V et al Condens. Matter 6 (4) 52 (2021)
  107. Müller K A et al J. Phys. Condens. Matter 10 L291 (1998)
  108. Kim M et al Nature Mater. 21 627 (2022)
  109. Menushenkov A P et al J. Supercond. Nov. Magn. 27 925 (2014)
  110. Schrieffer J R, Wen X G, Zhang S C Phys. Rev. B 39 11663 (1989)
  111. Plakida N M et al J. Exp. Theor. Phys. 97 331 (2003); Plakida N M et al Zh. Eksp. Teor. Fiz. 124 367 (2003)
  112. Plakida N M et al Phys. Rev. B 55 R11997 (1997)
  113. Castellani C, Di Castro C, Grilli M Phys. Rev. Lett. 75 4650 (1995)
  114. Silkin V M, Efremov D V, Kagan M Yu Phys. Scr. 100 045943 (2025)
  115. Belinicher V I, Chernyshev A L, Shubin V A Phys. Rev. B 56 3381 (1997)
  116. Belinicher V I et al Phys. Rev. B 51 6076 (1995)
  117. Kagan M Yu et al Phys. Usp. 49 1079 (2006); Kagan M Yu et al Usp. Fiz. Nauk 176 1105 (2006)
  118. Kagan M Yu Fizika Makroskopicheskikh Kvantovykh Sistem (Physics Of Macroscopic Quantum Systems) (Moscow: Izd. Dom MEI, 2014), Lecture course. Seminars
  119. Laughlin R B Phys. Rev. Lett. 60 2677 (1988)
  120. Fetter A L, Hanna C B, Laughlin R B Phys. Rev. B 39 9679 (1989)
  121. Anderson P W Science 235 1196 (1987)
  122. Lee P A, Nagaosa N Phys. Rev. B 46 5621 (1992)
  123. Lee P A et al Phys. Rev. B 57 6003 (1998)
  124. Bulaevskii L N, Nagaev E L, Khomskii D I Zh. Eksp. Teor. Fiz. 54 1562 (1968); Bulaevskii L N, Nagaev E L, Khomskii D I Sov. Phys. JETP 27 836 (1968)
  125. Brinkman W F, Rice T M Phys. Rev. B 2 1324 (1970)
  126. Wu Y-M et al arXiv:2501.14138
  127. Uemura Y J et al Phys. Rev. Lett. 66 2665 (1991)
  128. Cao Y et al Nature 556 43 (2018); Cao Y et al arXiv:1803.02342
  129. Haviland D B, Liu Y, Goldman A M Phys. Rev. Lett. 62 2180 (1989)
  130. Feigel’man M V et al Ann. Physics 325 1390 (2010)
  131. Skvortsov M A, Feigel’man M V J. Exp. Theor. Phys. 117 487 (2013); Skvortsov M A, Feigel’man M V Zh. Eksp. Teor. Fiz. 144 560 (2013)
  132. Burmistrov I S, Gornyi I V, Mirlin A D Phys. Rev. Lett. 108 017002 (2012)
  133. Kuchinskii E Z, Nekrasov I A, Sadovskii M V Phys. Usp. 55 325 (2012); Kuchinskii E Z, Nekrasov I A, Sadovskii M V Usp. Fiz. Nauk 182 345 (2012)
  134. Goldman A M, Marković N Phys. Today 51 (11) 39 (1998)
  135. Grünhaupt L et al Nature Mater. 18 816 (2019)
  136. Tolmachev V V Teoriya Bose-gaza (Bose Gas Theory) (Moscow: Izd. MGU, 1969)

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions