RSS feeds
РусскийEnglish
Issue 6, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2026

 / 

May

←  →

Conferences and symposia


Griffiths phases and anomalous increase in the Curie temperature in systems with magnetic disorder

†  a, ‡  a,  a, §  b, *  c,  a, #  d, °  a
a Vereshchagin Institute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
c Zavoisky Physical-Technical Institute, FRC Kazan Scientific Center of RAS, Sibirskii trakt 10/7, Kazan, Республика Татарстан, 420029, Russian Federation
d National University of Science and Technology ‘MISIS’, Leninskii prosp. 4, Moscow, 119049, Russian Federation

The review considers disordered magnetic systems of the Griffiths type, where the magnetic disorder is caused by the dispersion of local magnetic fields. It is shown that in such systems magnetic clusters exist at temperatures both above and below the Curie point, which leads to an anomalous temperature dependence of the magnetic susceptibility in the paramagnetic phase. A striking manifestation of this type of disorder is the power-law magnetic field dependences of magnetization in the ferromagnetic phase, existing in wide ranges of temperature and magnetic field. The analysis of the parameters of the power-law functions allows constructing the order parameter for the Griffiths phase with a finite magnetic transition temperature. The developed model of magnetic properties is confirmed by experimental results for such strongly correlated systems as manganites, perovskites, cobaltites, dialuminates, pyrochlores, various intermetallics, systems with hidden order and spiral magnets. Recently synthesized substitutional solid solutions in the noncentrosymmetric MnSi—RhSi system are of special interest, as long as in this material the existence of the Griffiths phase is combined with the effect of a giant increase in the Curie temperature up to values of ∼ 350 K (12 times with respect to MnSi), exceeding room temperature. This behavior contradicts the standard mechanism of universal suppression of the magnetic transition temperature in the Griffiths phase. To interpret this effect, the spin-polaron model can be used, which considers quasi-bound states of subnanometer size consisting of localized magnetic moments of magnetic ions and itinerant electrons. The analysis of models and experimental data shows that the study of magnetism on the nanometer scale is a promising direction for studying various disordered magnets. The review is based on the materials of the report at the session of the Physical Sciences Division of the Russian Academy of Sciences.

Typically, an English full text is available in about 1 month from the date of publication of the original article.

Keywords: Griffiths phase, magnetic disorder, local magnetic fields, ferromagnetic clusters, power-law field dependence of magnetization, noncentrosymmetric magnets, manganese and rhodium monosilicides, giant increase in the Curie temperature, spin polarons
PACS: 75.10.−b, 75.10.Nr, 75.30.Cr, 75.40.Cx, 75.50.−y (all)
DOI: 10.3367/UFNe.2025.04.039966
URL: https://ufn.ru/en/articles/2026/5/e/
Citation: Demishev S V, Brazhkin V V, Bokov A V, Volkova O S, Eremina R M, Krasnorussky V N, Shamova I K, Tsvyashchenko A V "Griffiths phases and anomalous increase in the Curie temperature in systems with magnetic disorder" Phys. Usp. 69 (5) (2026)

Received: 14th, July 2025, 23rd, April 2025

Оригинал: Демишев С В, Бражкин В В, Боков А В, Волкова О С, Еремина Р М, Краснорусский В Н, Шамова И К, Цвященко А В «Фазы Гриффитса и аномальное увеличение температуры Кюри в системах с магнитным беспорядком» УФН 196 506–536 (2026); DOI: 10.3367/UFNr.2025.04.039966

References (103) ↓ Cited by (1) Similar articles (20)

  1. Griffiths R B Phys. Rev. Lett. 23 17 (1969)
  2. Bray A J Phys. Rev. Lett. 59 586 (1987)
  3. Sachdev S Quantum Phase Transitions 2nd ed. (Cambridge: Cambridge Univ. Press, 2011)
  4. Demishev S V, Semeno A V, Ohta H Appl. Magn. Reson. 52 379 (2021)
  5. Fisher D S Phys. Rev. Lett. 69 534 (1992)
  6. Fisher D S Phys. Rev. B 51 6411 (1995)
  7. Demishev S V Fiz. Tverd. Tela 51 514 (2009); Demishev S V Phys. Solid State 51 547 (2009)
  8. Brady D et al Phys. Rev. Research 6 013052 (2024)
  9. Reed M E W et al Phys. Rev. A 99 063611 (2019)
  10. Yahalom Y, Shnerb N M Phys. Rev. Lett. 122 108102 (2019)
  11. Amaral M A, de Oliveira M M Phys. Rev. E 104 064102 (2021)
  12. Juhász R, Kovács I A, Iglói F Phys. Rev. E 91 032815 (2015)
  13. Sato K et al Rev. Mod. Phys. 82 1633 (2010)
  14. Galitski V M, Kaminski A, Das Sarma S Phys. Rev. Lett. 92 177203 (2004)
  15. Krasnorussky V N et al Phys. Rev. Materials 8 124405 (2024)
  16. Demishev S V i dr Pis’ma ZhETF 121 121 (2025); Demishev S V et al JETP Lett. 121 111 (2025)
  17. Mallick O J. Magn. Magn. Mater. 626 173045 (2025)
  18. Demishev S V Dokl. RAN. Fizika, Tekhnicheskie Nauki 521 31 (2025)
  19. Krivoruchko V N, Marchenko M A, Melikhov Y Phys. Rev. B 82 064419 (2010)
  20. Pahari R et al Phys. Rev. B 99 184438 (2019)
  21. Demishev S V, Ishchenko T V, Samarin A N Fizika Nizkikh Temperatur 41 1243 (2015); Demishev S V, Ishchenko T V, Samarin A N Low Temp. Phys. 41 971 (2015)
  22. Vonsovskii S V Magnetizm (M.: Nauka, 1971); Per. na angl. yaz., Vonsovskii S V Magnetism (New York: John Wiley and Sons, 1974)
  23. Salamon M B, Lin P, Chun S H Phys. Rev. Lett. 88 197203 (2002)
  24. Pramanik A K, Banerjee A Phys. Rev. B 81 024431 (2010)
  25. Singh N K et al Phys. Rev. B 81 184414 (2010)
  26. Ślebarski A, Goraus J, Fijalkowski M Phys. Rev. B 84 075154 (2011)
  27. Pathak A K et al Phys. Rev. B 89 224411 (2014)
  28. Pathak A K et al Phys. Rev. B 94 224406 (2016)
  29. Harbi A et al Phys. Rev. B 104 054404 (2021)
  30. Silva R S (Jr.) et al Phys. Rev. B 106 134439 (2022)
  31. Silva R S (Jr.) et al J. Magn. Magn. Mater. 546 168851 (2022)
  32. Fita I et al Phys. Rev. B 101 224433 (2020)
  33. Wang W et al J. Magn. Magn. Mater. 529 167868 (2021)
  34. Singh K, Bitla Y, Panwar N J. Magn. Magn. Mater. 591 171716 (2024)
  35. Ji X et al J. Magn. Magn. Mater. 519 167455 (2021)
  36. Schroeder A, Ubaid-Kassis S, Vojta T J. Phys. Condens. Matter 23 094205 (2011)
  37. Wang R et al Phys. Rev. Lett. 118 267202 (2017)
  38. Ma Sh Sovremennaya Teoriya Kriticheskikh Yavlenii (M.: Mir, 1980); Per. s angl. yaz., Ma Sh Modern Theory Of Critical Phenomena (Reading, MA: W.A. Benjamin, 1976)
  39. Castro Neto A H, Castilla G, Jones B A Phys. Rev. Lett. 81 3531 (1998)
  40. Chan P Y, Goldenfeld N, Salamon M Phys. Rev. Lett. 97 137201 (2006)
  41. Ovchinnikov A S et al Phys. Rev. B 106 L020401 (2022)
  42. Eremina R M Appl. Magn. Reson. 56 559 (2025)
  43. Demishev S V et al Phys. Rev. B 80 245106 (2009)
  44. Demishev S V i dr Pis’ma ZhETF 91 12 (2010); Demishev S V et al JETP Lett. 91 11 (2010)
  45. Brando M et al Rev. Mod. Phys. 88 025006 (2016)
  46. Yang R-F et al Appl. Phys. Lett. 90 032502 (2007)
  47. Eremina R M et al Phys. Rev. B 84 064410 (2011)
  48. Seidov Z Y et al J. Magn. Magn. Mater. 552 169190 (2022)
  49. Bauer A et al Phys. Rev. B 82 064404 (2010)
  50. Grigoriev S V et al Phys. Rev. B 83 224411 (2011)
  51. Demishev S V et al Pis’ma ZhETF 98 933 (2013); Demishev S V et al JETP Lett. 98 829 (2014)
  52. Demishev S V i dr Usp. Fiz. Nauk 186 628 (2016); Demishev S V et al Phys. Usp. 59 559 (2016)
  53. Janoschek M et al Phys. Rev. B 87 134407 (2013)
  54. Demishev S V Usp. Fiz. Nauk 194 23 (2024); Demishev S V Phys. Usp. 67 22 (2024)
  55. Mishra A K et al Phys. Rev. B 107 L100405 (2023)
  56. Moriya T Spin Fluctuations In Itinerant Electron Magnetism (Springer Ser. In Solid-State Sciences, Vol. 56) (Berlin: Springer-Verlag, 1985)
  57. Demishev S V i dr Pis’ma ZhETF 93 231 (2011); Demishev S V et al JETP Lett. 93 213 (2011)
  58. Demishev S V et al Phys. Rev. B 85 045131 (2012)
  59. Demishev S V Appl. Magn. Reson. 51 473 (2020)
  60. Corti M et al Phys. Rev. B 75 115111 (2007)
  61. Demishev S V et al Pis’ma ZhETF 100 30 (2014); Demishev S V et al JETP Lett. 100 28 (2014)
  62. Mühlbauer S et al Science 323 915 (2009)
  63. Tonomura A et al Nano Lett. 12 1673 (2012)
  64. Lobanova I I, Glushkov V V, Sluchanko N E, Demishev S V Sci. Rep. 6 22101 (2016)
  65. Neubauer A et al Phys. Rev. Lett. 102 186602 (2009)
  66. Dalmas de Réotier P et al Phys. Rev. Lett. 133 236502 (2024)
  67. Blinov L M Structure And Properties Of Liquid Crystals (Dordrecht: Springer, 2010); Per. na russk. yaz., Blinov L M Zhidkie Kristally: Struktura i Svoistva (M.: Librokom, 2013)
  68. Arrott A, Noakes J E Phys. Rev. Lett. 19 786 (1967)
  69. Glushkov V V et al Phys. Rev. Lett. 115 256601 (2015)
  70. Grigoriev S V et al Phys. Rev. B 79 144417 (2009)
  71. Demishev S V et al Pis’ma ZhETF 104 113 (2016); Demishev S V et al JETP Lett. 104 116 (2016)
  72. Dhital C et al Phys. Rev. B 95 024407 (2017)
  73. Khvostantsev L G, Slesarev V N, Brazhkin V V High Press. Res. 24 371 (2004)
  74. Gerashchenko A P "Spektroskopiya YaMR v issledovaniyakh elektronnykh i magnitnykh svoistv sil’no korrelirovannykh sistem" Diss. ... dokt. fiz.-mat. nauk (Ekaterinburg: Institut fiziki metallov im. M.N. Mikheeva UrO RAN, 2019)
  75. Krasnorusskii V N, Demishev S V, Bokov A V, Salamatin D A, Semeno A V, Os’kin A E, Brazhkin V V, Tsvyashchenko A V "Magnitnye svoistva Mn1−xRhxSi (x < 0,15): gigantskoe usilenie ferromagnetizma, nizkotemperaturnaya anomaliya i faza Griffitsa" Soveshchanie po fizike nizkikh temperatur: Sb. tezisov Mezhdunarodnoi konf. FNT-2024, 3-7 iyunya 2024 g., Chernogolovka (Pod red. B B Straumala) (Chernogolovka: IFTT RAN, 2024) p. 79
  76. Yu U, Min B I Phys. Rev. B 74 094413 (2006)
  77. Greer A L Thermochim. Acta 42 193 (1980)
  78. Babić E et al J. Magn. Magn. Mater. 15-18 249 (1980)
  79. Kanomata T et al Mater. Sci. Eng. A 179-180 351 (1994)
  80. Mendelssohn K Cryophysics (New York: Interscience Publ., 1960); Per. na russk. yaz., Mendel’son K Fizika Nizkikh Temperatur (M.: IL, 1963)
  81. Beille J et al J. Magn. Magn. Mater. 10 265 (1979)
  82. Motokawa M et al J. Magn. Magn. Mater. 70 245 (1987)
  83. Kvasnikov I A Termodinamika i Statisticheskaya Fizika T. 1 Teoriya Ravnovesnykh Sistem. Termodinamika (M.: URSS, 2002) p. 98
  84. Jin Z et al Sci. Adv. 9 eadd5239 (2023)
  85. Nagaev E L Fizika Magnitnykh Poluprovodnikov (M.: Nauka, 1979); Per. na angl. yaz., Nagaev E L Physics Of Magnetic Semiconductors (Moscow: Mir Publ., 1983)
  86. Usachev P A et al Mater. Horiz. 12 512 (2025)
  87. Demishev S V et al Solid State Commun. 385 115501 (2024)
  88. Shklovskii B I, Efros A L Elektronnye Svoistva Legirovannykh Poluprovodnikov (M.: Nauka, 1979); Per. na angl. yaz., Shklovskii B I, Efros A L Electronic Properties Of Doped Semiconductors (Springer Series in Solid-State Sciences) Vol. 45 (Berlin: Springer-Verlag, 1984)
  89. Moriya T "Recent progress in the theory of itinerant electron magnetism" J. Magn. Magn. Mater. 14 1 (1979); Per. na russk. yaz., Moriya T "Poslednie dostizheniya teorii magnetizma kollektivizirovannykh elektronov" Usp. Fiz. Nauk 135 117 (1981)
  90. Zhang F M et al Appl. Phys. Lett. 85 786 (2004)
  91. Bolduc M et al Phys. Rev. B 71 033302 (2005)
  92. Liu X C et al J. Appl. Phys. 100 073903 (2006)
  93. Liu X C et al J. Appl. Phys. 102 033902 (2007)
  94. Ko V et al J. Appl. Phys. 104 033912 (2008)
  95. Men’shov V N et al Phys. Rev. B 83 035201 (2011)
  96. Aronzon B A et al Phys. Rev. B 84 075209 (2011)
  97. Xie Z et al Phys. Rev. B 109 024407 (2024)
  98. Dietl T, Ohno H Physica E 9 185 (2001)
  99. Kondrin M V i dr Pis’ma ZhETF 84 228 (2006); Kondrin M V et al JETP Lett. 84 195 (2006)
  100. Popova S V i dr Fiz. Tverd. Tela 48 2057 (2006); Popova S V et al Phys. Solid State 48 2177 (2006)
  101. Kondrin M V et al J. Phys. Conf. Ser. 121 032011 (2008)
  102. Kondrin M V et al J. Phys. Condens. Matter 23 446001 (2011)
  103. Imry Y, Ma S Phys. Rev. Lett. 35 1399 (1975)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions