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Critical exponents of a three-dimensional weakly diluted quenched Ising model

 a,  b,  c
a Institut für Theoretische Physik, Johannes Kepler Universität, Altenbergerstr. 69, Linz, A-4040, Austria
b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, ul. Svientsitskii 1, Lviv, 79011, Ukraine
c Ivan Franko Lviv National University, Kirilla i Mefodiya str. 6, Lviv, 79005, Ukraine

Universal and nonuniversal critical exponents of a three-dimensional Ising system with weak quenched disorder are discussed. Experimental, computational, and theoretical results are reviewed. Particular attention is given to field-theoretical renormalization-group results. Different renormalization schemes are considered with emphasis on the analysis of the divergent series obtained.

Fulltext pdf (958 KB)
Fulltext is also available at DOI: 10.1070/PU2003v046n02ABEH001077
PACS: 11.10.Gh, 61.43.−j, 64.60.Ak (all)
DOI: 10.1070/PU2003v046n02ABEH001077
URL: https://ufn.ru/en/articles/2003/2/c/
000183400800003
Citation: Folk R, Holovatch Yu, Yavorskii T "Critical exponents of a three-dimensional weakly diluted quenched Ising model" Phys. Usp. 46 169–191 (2003)
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Оригинал: Фольк Р, Головач Ю, Яворский Т «Критические показатели трехмерной слабо разбавленной замороженной модели Изинга» УФН 173 175–200 (2003); DOI: 10.3367/UFNr.0173.200302c.0175

References (145) Cited by (128) ↓ Similar articles (20)

  1. Krasnytska M Condens. Matter Phys. 27 33603 (2024)
  2. Delzescaux L, Mouhanna D, Tissier M Phys. Rev. E 110 (5) (2024)
  3. Dudka M, Shapoval D, Holovatch Yu J. Phys. Stud. 28 (2) (2024)
  4. Ataeva G Ya, Babaev A B, Murtazaev A K Phys. Metals Metallogr. 124 660 (2023)
  5. Dudka M, Krasnytska M et al Journal Of Magnetism And Magnetic Materials 575 170718 (2023)
  6. Murtazaev A K, Babaev A B, Ataeva G Ya Phys. Solid State 64 264 (2022)
  7. Kazmin S, Janke W Phys. Rev. B 105 (21) (2022)
  8. Murtazaev A K, Babaev A B et al J. Exp. Theor. Phys. 135 347 (2022)
  9. Semkin S V, Smagin V P, Tarasov V S J. Exp. Theor. Phys. 134 713 (2022)
  10. Ruiz-Lorenzo J J, Dudka M, Holovatch Yu Phys. Rev. E 106 (3) (2022)
  11. Blavatska V, Holovatch Yu Physica A: Statistical Mechanics And Its Applications 573 125980 (2021)
  12. Kompaniets M V, Kudlis A, Sokolov A I Phys. Rev. E 103 (2) (2021)
  13. Binder D J J. High Energ. Phys. 2021 (9) (2021)
  14. Krasnytska M, Berche B et al Entropy 23 1175 (2021)
  15. Borodikhin V N, Popov I S Eur. Phys. J. Plus 136 (11) (2021)
  16. Shapoval D, Dudka M et al Phys. Rev. B 101 (6) (2020)
  17. Kazmin S, Janke W Phys. Rev. B 102 (17) (2020)
  18. Murtazaev A K, Babaev A B Materials Letters 258 126771 (2020)
  19. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 130 258 (2020)
  20. Chepak A K, Afremov L L, Mironenko A Yu SSP 312 244 (2020)
  21. Prudnikov V V, Prudnikov P V, Lyakh A S Phys. Solid State 62 821 (2020)
  22. Babaev A B, Murtazaev A K Phys. Solid State 62 851 (2020)
  23. Dotsenko V J. Exp. Theor. Phys. 129 738 (2019)
  24. Babaev A B, Murtazaev A K J. Phys.: Conf. Ser. 1389 012010 (2019)
  25. Murtazaev A K, Babaev A B Materials Letters 238 321 (2019)
  26. Babaev A B, Murtazaev A K Jetp Lett. 107 624 (2018)
  27. Babaev A B, Murtazaev A K 44 1348 (2018)
  28. Babaev A B, Murtazaev A K et al Phys. Solid State 60 1180 (2018)
  29. Xu Y, Yao D-X Phys. Rev. B 97 (22) (2018)
  30. Kryzhanovsky B, Litinskii L Physica A: Statistical Mechanics And Its Applications 468 493 (2017)
  31. Dotsenko V, Holovatch Yu et al Phys. Rev. E 95 (3) (2017)
  32. Murtazaev A K, Babaev A B, Ataeva G Y Journal Of Magnetism And Magnetic Materials 440 101 (2017)
  33. Prudnikov V V, Prudnikov P V, Mamonova M V Uspekhi Fizicheskikh Nauk 817 (2017)
  34. Murtazaev A K, Babaev A B, Ataeva G Ya Phys. Solid State 59 141 (2017)
  35. Holovatch Yu, Kenna R, Thurner S Eur. J. Phys. 38 023002 (2017)
  36. Babaev A B, Murtazaev A K Jetp Lett. 105 384 (2017)
  37. Prudnikov V V, Prudnikov P V, Mamonova M V Phys.-Usp. 60 762 (2017)
  38. Dudka M, Fedorenko A A et al Phys. Rev. B 93 (22) (2016)
  39. Passos A L, de Albuquerque D F, Filho J B S Physica A: Statistical Mechanics And Its Applications 450 541 (2016)
  40. Krasnytska M, Sarkanych P et al J. Phys. A: Math. Theor. 49 255001 (2016)
  41. Aharony O, Komargodski Z, Yankielowicz Sh J. High Energ. Phys. 2016 1 (2016)
  42. Prudnikov P V, Prudnikov V V et al Progress Of Theoretical And Experimental Physics 2015 53A01 (2015)
  43. Prudnikov V V, Prudnikov P V et al Physics Letters A 379 774 (2015)
  44. Vasilyev O, Berche B et al Phys. Rev. E 92 (4) (2015)
  45. Babaev A B, Murtazaev A K 41 608 (2015)
  46. Dudka M 56 (1) (2015)
  47. Prudnikov V V, Vakilov A N, Talashok D V Jetp Lett. 100 675 (2015)
  48. Murtazaev A K, Babaev A B Jetp Lett. 99 535 (2014)
  49. Prudnikov V V, Prudnikov P V J. Phys.: Conf. Ser. 510 012020 (2014)
  50. Semkin S V, Smagin V P Phys. Solid State 56 1105 (2014)
  51. Semkin S V, Smagin V P Phys. Solid State 56 2425 (2014)
  52. Dotsenko V, Holovatch Yu Phys. Rev. E 90 (5) (2014)
  53. Prudnikov V V, Vakilov A N, Zolotarev S A J. Phys.: Conf. Ser. 510 012019 (2014)
  54. Semkin S V, Smagin V P Phys. Solid State 56 1338 (2014)
  55. Murtazaev A K, Babaev A B Bull. Russ. Acad. Sci. Phys. 78 70 (2014)
  56. Xiong W, Xu Ch et al Physica A: Statistical Mechanics And Its Applications 405 352 (2014)
  57. Murtazaev A K, Babaev A B J. Exp. Theor. Phys. 116 101 (2013)
  58. Blavatska V J. Phys.: Condens. Matter 25 505101 (2013)
  59. Murtazaev A K, Babaev A B, Ataeva G Ya 39 147 (2013)
  60. Xiong W, Zhong F, Fan Sh Computer Physics Communications 183 1162 (2012)
  61. Blavats’ka V, Gaidukіvs’ka Kh, Golovach Yu Ukr. J. Phys. 57 41 (2012)
  62. Murtazaev A K, Babaev A B SSP 190 687 (2012)
  63. Prudnikov P V, Medvedeva M A Progress Of Theoretical Physics 127 369 (2012)
  64. Kurbanovich M A, Babaevich B A Journal Of Magnetism And Magnetic Materials 324 3870 (2012)
  65. Prudnikov P V, Kulikov D N Jetp Lett. 93 103 (2011)
  66. Murtazaev A K, Babaev A B, Aznaurova G Ya 37 134 (2011)
  67. von Ferber C, Folk R et al Phys. Rev. E 83 (6) (2011)
  68. Shalaev B N Phys. Solid State 52 87 (2010)
  69. Santos-Filho J B, Moreno N O, de Albuquerque D F J. Phys.: Conf. Ser. 249 012038 (2010)
  70. Murtazaev A K, Babaev A B, Aznaurova G Ya Bull. Russ. Acad. Sci. Phys. 74 686 (2010)
  71. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 110 253 (2010)
  72. Prudnikov V V, Prudnikov P V et al Phys. Rev. E 81 (1) (2010)
  73. Xiong W, Zhong F et al Phys. Rev. E 81 (5) (2010)
  74. Murtazaev A K, Babaev A B, Aznaurova G Ya SSP 168-169 357 (2010)
  75. Murtazaev A K, Babaev A B Journal Of Magnetism And Magnetic Materials 321 2630 (2009)
  76. Murtazaev A K, Babaev A B, Aznaurova G Ya J. Exp. Theor. Phys. 109 442 (2009)
  77. Prudnikov P V, Prudnikov V V Phys. Rev. B 80 (2) (2009)
  78. Vink R L C Soft Matter 5 4388 (2009)
  79. Folk R, Holovatch Yu, Moser G Phys. Rev. E 78 (4) (2008)
  80. Murtazaev A K, Babaev A B, Aznaurova G Ya Phys. Solid State 50 733 (2008)
  81. Kapikranian O, Berche B, Holovatch Yu Physics Letters A 372 5716 (2008)
  82. Ivaneyko D, Berche B et al Physica A: Statistical Mechanics And Its Applications 387 4497 (2008)
  83. Prudnikov P V, Prudnikov V V, Nosikhin E A J. Exp. Theor. Phys. 106 897 (2008)
  84. Calabrese P, Pelissetto A, Vicari E Phys. Rev. E 77 (2) (2008)
  85. Prudnikov P V, Prudnikov V V, Nosikhin E A Phys. Metals Metallogr. 104 221 (2007)
  86. Prudnikov P V, Prudnikov V V Russ Phys J 50 458 (2007)
  87. Hasenbusch M, Toldin F P et al Phys. Rev. B 76 (9) (2007)
  88. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 105 371 (2007)
  89. Santos-Filho J B, Moreno N O et al Physica B: Condensed Matter 398 294 (2007)
  90. Prudnikov V V, Vakilov A N, Filikanov E L Phys. Metals Metallogr. 104 541 (2007)
  91. Murtazaev A K, Kamilov I K, Babaev A B Bull. Russ. Acad. Sci. Phys. 71 1586 (2007)
  92. Hasenbusch M, Toldin F P et al J. Stat. Mech. 2007 P02016 (2007)
  93. Dudka M, Folk R et al J. Phys. A: Math. Theor. 40 8247 (2007)
  94. Hasenbusch M, Pelissetto A, Vicari E J. Stat. Mech. 2007 P11009 (2007)
  95. Prudnikov V V, Prudnikov P V et al Progress Of Theoretical Physics 117 973 (2007)
  96. Murtazaev A K, Babaev A B, Aznaurova G Ya Bull. Russ. Acad. Sci. Phys. 71 707 (2007)
  97. Schehr G, Paul R J. Phys.: Conf. Ser. 40 27 (2006)
  98. Hellmund M, Janke W Phys. Rev. B 74 (14) (2006)
  99. Folk R, Moser G J. Phys. A: Math. Gen. 39 R207 (2006)
  100. Ye F, Zhou L et al Phys. Rev. B 74 (14) (2006)
  101. Dudka M, Folk R et al J. Phys. A: Math. Gen. 39 7943 (2006)
  102. Toldin F P, Pelissetto A, Vicari E J. Stat. Mech. 2006 P06002 (2006)
  103. Murtazaev A K Uspekhi Fizicheskikh Nauk 176 1119 (2006)
  104. Ivaneyko D, Ilnytskyi J et al Physica A: Statistical Mechanics And Its Applications 370 163 (2006)
  105. Chatelain Ch, Berche B et al Nuclear Physics B 719 275 (2005)
  106. Dudka M, Folk R, Holovatch Yu Journal Of Magnetism And Magnetic Materials 294 305 (2005)
  107. Prudnikov P V, Prudnikov V V J. Phys.: Condens. Matter 17 L485 (2005)
  108. Schehr G, Paul R Phys. Rev. E 72 (1) (2005)
  109. Suslov I M J. Exp. Theor. Phys. 100 1188 (2005)
  110. Blavats’ka V, Dudka M et al Phys. Rev. B 72 (6) (2005)
  111. Dudka M, Folk R et al Phys. Rev. E 72 (3) (2005)
  112. Prudnikov V V, Borodikhin V N J. Exp. Theor. Phys. 101 294 (2005)
  113. Hasenbusch M, Pelissetto A, Vicari E Phys. Rev. B 72 (1) (2005)
  114. Paul R, Schehr G Europhys. Lett. 72 719 (2005)
  115. Calabrese P, Gambassi A J. Phys. A: Math. Gen. 38 R133 (2005)
  116. Janke W, Berche P -E et al Springer Proceedings In Physics Vol. Computer Simulation Studies in Condensed-Matter Physics XVIQuenched Disorder Distributions in Three-Dimensional Diluted Ferromagnets95 Chapter 12 (2004) p. 89
  117. Calabrese P, Pelissetto A, Vicari E Phys. Rev. E 70 (3) (2004)
  118. Holovatch Yu, Ivaneyko D, Delamotte B J. Phys. A: Math. Gen. 37 3569 (2004)
  119. Usatenko Z, Ciach A Phys. Rev. E 70 (5) (2004)
  120. Murtazaev A K, Kamilov I K, Babaev A B J. Exp. Theor. Phys. 99 1201 (2004)
  121. Calabrese P, Orlov E V et al Phys. Rev. B 70 (9) (2004)
  122. Calabrese P, Parruccini P et al Phys. Rev. E 69 (3) (2004)
  123. Dudka M, Holovatch Yu, Yavors’kii T J. Phys. A: Math. Gen. 37 10727 (2004)
  124. Timonin P N J. Exp. Theor. Phys. 99 1044 (2004)
  125. Calabrese P, Martín-Mayor V et al Phys. Rev. E 68 (3) (2003)
  126. Blavats’ka V, von Ferber C, Holovatch Yu Phys. Rev. B 67 (9) (2003)
  127. Calabrese P, Pelissetto A, Vicari E Phys. Rev. B 68 (9) (2003)
  128. Calabrese P, De Prato M et al Phys. Rev. B 68 (13) (2003)

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