RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2003

 / 

February

←  →

Reviews of topical problems


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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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. Stinchcombe R B, in Phase Transitions and Critical Phenomena Vol. 7 (Eds C Domb, J L Lebowitz, New York: Academic Press, 1983) p. 151
  2. Belanger D P Braz. J. Phys. 30 682 (2000)
  3. Parisi G, Ricci-Tersenghi F, Ruiz-Lorenzo J J Phys. Rev. E 60 5198 (1999)
  4. Dunlap R A, Gottlieb A M Phys. Rev. B 23 6106 (1981)
  5. Birgeneau R J et al. Phys. Rev. B 27 6747 (1983)
  6. Hastings J M, Corliss L M, Kunnmann W Phys. Rev. B 31 2902 (1985)
  7. Belanger D P, King A R, Jaccarino V Phys. Rev. B 34 452 (1986)
  8. Barrett P H Phys. Rev. B 34 3513 (1986)
  9. Mitchell P W et al. Phys. Rev. B 34 4719 (1986)
  10. Thurston T R et al. Phys. Rev. B 37 9559 (1988)
  11. Rosov N et al. Phys. Rev. B 37 3265 (1988)
  12. Belanger D P et al. Phys. Rev. B 37 226 (1988)
  13. Ramos C A, King A R, Jaccarino V Phys. Rev. B 37 5483 (1988)
  14. Ferreira I B, King A R, Jaccarino V Phys. Rev. B 43 10797 (1991)
  15. Belanger D P et al. J. Magn. Magn. Mater. 140 – 144 1549 (1995)
  16. Belanger D P et al. Phys. Rev. B 54 3420 (1996)
  17. Hill J P et al. Phys. Rev. B 55 356 (1997)
  18. Slanič Z, Belanger D P J. Magn. Magn. Mater. 186 65 (1998)
  19. Belanger D P, Slanič Z, Fernandez-Baca J A J. Magn. Magn. Mater. 177 – 181 171 (1998)
  20. Slanič Z, Belanger D P, Fernandez-Baca J A Phys. Rev. Lett. 82 426 (1999)
  21. Landau D P Phys. Rev. B 22 2450 (1980)
  22. Marro J, Labarta A, TejadaJ Phys. Rev. B 34 347 (1986)
  23. Chowdhury D, Stauffer D J. Stat. Phys. 44 203 (1986)
  24. Braun P, Fähnle M J. Stat. Phys. 52 775 (1988)
  25. Braun P et al. Int. J. Mod. Phys. B 3 1343 (1989)
  26. Wang J-S, Chowdhury D J. Phys. (Paris) 50 2905 (1989)
  27. Wang J-S et al. Physica A 166 173 (1990)
  28. Holey T, Fähnle M Phys. Rev. B 41 11709 (1990); Fähnle M, Holey T, Eckert J J. Magn. Magn. Mater. 104 – 107 195 (1992)
  29. Heuer H-O Europhys. Lett. 12 551 (1990); Heuer H-O Phys. Rev. B 42 6476 (1990)
  30. Heuer H-O J. Phys. A: Math. Gen. 26 L333 (1993)
  31. Prudnikov V V, Vakilov A N Zh. Eksp. Teor. Fiz. 103 962 (1993) [JETP 76 469 (1993)]
  32. Hennecke M Phys. Rev. B 48 6271 (1993)
  33. Ballesteros H G et al. Phys. Rev. B 58 2740 (1998)
  34. Wiseman S, Domany E Phys. Rev. Lett. 81 22 (1998)
  35. Wiseman S, Domany E Phys. Rev. E 58 2938 (1998)
  36. Aharony A, Harris A B, Wiseman S Phys. Rev. Lett. 81 252 (1998)
  37. Marqués M I, Gonzalo J A Physica A 284 187 (2000)
  38. Marqués M I, Gonzalo J A Phys. Rev. E 60 2394 (1999)
  39. Marqués M I, Gonzalo J A, Íñiguez J Phys. Rev. E 62 191 (2000)
  40. Hukushima K J. Phys. Soc. Jpn. 69 631 (2000)
  41. Berche P E et al., in MECO25, Middle European Cooperation in Statistical Physics, Pont-à-Mousson, France, 9 – 11 March, 2000, p.51; Berche P E et al. Comput. Phys. Commun. 147 427 (2002)
  42. Harris A B, Lubensky T C Phys. Rev. Lett. 33 1540 (1974)
  43. Khmel’nitskii D E Zh. Eksp. Teor. Fiz. 68 1960 (1975) [Sov. Phys. JETP 41 981 (1975)]
  44. Lubensky T C Phys. Rev. B 11 3573 (1975)
  45. Grinstein G, Luther A Phys. Rev. B 13 1329 (1976)
  46. Jayaprakash C, Katz H J Phys. Rev. B 16 3987 (1977)
  47. Shalaev B N Zh. Eksp. Teor. Fiz. 73 2301 (1977) [Sov. Phys. JETP 46 1204 (1977)]
  48. Sokolov A I Fiz. Tverd. Tela 19 748 (1977) [Sov. Phys. Solid State 19 433 (1977)]
  49. Sokolov A I, Shalaev B N Fiz. Tverd. Tela 23 2058 (1981) [Sov. Phys. Solid State 23 1200 (1981)]
  50. Newman K E, Riedel E K Phys. Rev. B 25 264 (1982)
  51. Jug G Phys. Rev. B 27 609 (1983)
  52. Mayer I O, Sokolov A I Fiz. Tverd. Tela 26 3454 (1984) [Sov. Phys. Solid State 26 2076 (1984)]
  53. Shpot N A Phys. Lett. A 142 474 (1989)
  54. Mayer I O, Sokolov A I, Shalaev B N Ferroelectrics 95 93 (1989)
  55. Mayer I O J. Phys. A: Math. Gen. 22 2815 (1989)
  56. Holovatch Yu, Shpot M J. Stat. Phys. 66 867 (1992)
  57. Janssen H K, Oerding K, Sengespeick E J. Phys. A: Math. Gen. 28 6073 (1995)
  58. Shalaev B N, Antonenko S A, Sokolov A I Phys. Lett. A 230 105 (1997)
  59. Folk R, Holovatch Yu, Yavors’kii T J. Phys. Stud. 2 213 (1998)
  60. Holovatch Yu, Yavors’kii T J. Stat. Phys. 93 785 (1998); Condens. Mater. Phys. (11) 87 (1997)
  61. Folk R, Holovatch Yu, Yavors’kii T Pis’ma Zh. Eksp. Teor. Fiz. 69 698 (1999) [JETP Lett. 69 747 (1999)]
  62. Varnashev K B Phys. Rev. B 61 14660 (2000)
  63. Folk R, Holovatch Yu, Yavors’kii T Phys. Rev. B 61 15114 (2000)
  64. Pakhnin D V, Sokolov A I Pis’ma Zh. Eksp. Teor. Fiz. 71 600 (2000) [JETP Lett. 71 412 (2000)]; Phys. Rev. B 61 15130 (2000)
  65. Pelissetto A, Vicari E Phys. Rev. B 62 6393 (2000)
  66. Carmona J M, Pelissetto A, Vicari E Phys. Rev. B 61 15136 (2000)
  67. Stanley H E Introduction to Phase Transitions and Critical Phenomena (Oxford: Clarendon Press, 1971)
  68. Kouvel J S, Fisher M E Phys. Rev. 136 A1626 (1964)
  69. Riedel E K, Wegner F J Phys. Rev. B 9 294 (1974)
  70. Wegner F J Phys. Rev. B 5 4529 (1972)
  71. Harris A B J. Phys. C: Solid State Phys. 7 1671 (1974)
  72. Chayes J T et al. Phys. Rev. Lett. 57 2999 (1986)
  73. Guida R, Zinn-Justin J J. Phys. A: Math. Gen. 31 8103 (1998)
  74. Emery V J Phys. Rev. B 11 239 (1975); Edwards S F, Anderson P W J. Phys. F: Met. Phys. 5 965 (1975)
  75. Brout R Phys. Rev. 115 824 (1959)
  76. Fisher M E Phys. Rev. 176 257 (1968)
  77. Dotsenko V et al. J. Phys. A: Math. Gen. 28 3093 (1995)
  78. Dotsenko Vik S J. Phys. A: Math. Gen. 32 2949 (1999)
  79. Griffiths R B Phys. Rev. Lett. 23 17 (1969)
  80. Dotsenko V, Feldman D E J. Phys. A: Math. Gen. 28 5183 (1995)
  81. Wu X Physica A 251 309 (1998)
  82. Prudnikov V V, Prudnikov P V, Fedorenko A A J. Phys. A: Math. Gen. 34 L145 (2001)
  83. Hutchings M T, Schulhof M P, Guggenheim H J Phys. Rev. B 5 154 (1972)
  84. Hutchings M T, Rainford B D, Guggenheim H J J. Phys. C: Solid State Phys. 3 307 (1970)
  85. Heller P Phys. Rev. 146 403 (1966)
  86. Dietrich O W J. Phys. C: Solid State Phys. 2 2022 (1969)
  87. Schullhof M P et al. Phys. Rev. B 1 2304 (1969)
  88. Wertheim G K, Buchanan D N E Phys. Rev. 161 478 (1967)
  89. Belanger D P, King A R, Jaccarino V J. Appl. Phys. 53 2704 (1982)
  90. Meyer G M, Dietrich O W J. Phys. C: Solid State Phys. 11 1451 (1978)
  91. Cowley R S, Carneiro K J. Phys. C: Solid State Phys. 13 3281 (1980)
  92. Belanger D P et al. J. Magn. Magn. Mater. 15 – 18 807 (1980)
  93. Gehring G A J. Phys. C: Solid State Phys. 10 531 (1977)
  94. Fishman S, Aharony A J. Phys. C: Solid State Phys. 12 L729 (1979)
  95. Cardy J L Phys. Rev. B 29 505 (1984)
  96. Belanger D P, Young A P J. Magn. Magn. Mater. 100 272 (1991)
  97. Belanger D P, Lui M, Erwin R W, in Magnetic Ultrathin Films: Symp., San Francisco, CA, USA, April 12 – 16, 1993 (Mater. Res. Soc. Symp. Proc., Vol. 313, Eds B T Jonker et al., Pittsburgh, Pa.: Materials Research Society, 1993) p. 755
  98. Goldman A I et al. Phys. Rev. B 36 5609 (1987)
  99. Berche B, unpublished
  100. Binder K (Ed.) Monte Carlo Methods in Statistical Physics (Topics in Current Physics, Vol. 7, Berlin: Springer-Verlag, 1979)
  101. Barber M N et al. Phys. Rev. B 32 1720 (1985)
  102. Swendsen R H, Wang J-S Phys. Rev. Lett. 58 86 (1987); Wolff U Phys. Lett. B 228 379 (1989)
  103. Heuer H-O Comput. Phys. Commun. 59 387 (1990)
  104. Wiseman S, Domany E Phys. Rev. E 52 3469 (1995)
  105. Aharony A, Harris A B Phys. Rev. Lett. 77 3700 (1996)
  106. Weinrib A, Halperin B I Phys.Rev. B 27 413 (1983)
  107. Prudnikov V V, Fedorenko A A J. Phys. A: Math. Gen. 32 L399 (1999); Prudnikov V V, Prudnikov P V, Fedorenko A A J. Phys. A: Math. Gen. 32 8587 (1999); Phys. Rev. B 62 8777 (2000); Blavats’ka V, von Ferber C, Holovatch Yu J. Mol. Liq. 92 77 (2001); Phys. Rev. E 64 041102 (2001)
  108. Brézin E, Le Guillou J C, Zinn-Justin J, in Phase Transitions and Critical Phenomena Vol. 6 (Eds C Domb, M S Green, London: Academic Press, 1976); Amit D J Field Theory, the Renormalization Group, and Critical Phenomena 2nd ed. (Singapore: World Scientific, 1989)
  109. Zinn-Justin J Quantum Field Theory and Critical Phenomena (Intern. Ser. of Monographs on Phys., 92, Oxford: Clarendon Press, 1996); Kleinert H, Schulte-Frohlinde V Critical Properties of Φ4-Theories (River Edge, NJ: World Scientific, 2001); Pelissetto A, Vicari E Phys. Rep. 368 549 (2002)
  110. ’t Hooft G, Veltman M Nucl. Phys. B 44 189 (1972); ’t Hooft G Nucl. Phys. B 61 455 (1973)
  111. ParisiG, in Proc. of the Cargrése Summer School, 1973 (unpublished); Parisi G J. Stat. Phys. 23 49 (1980)
  112. Vladimirov V S Uravneniya Matematicheskoi Fiziki 3rd ed. (Equations of Mathematical Physics, Moscow: Nauka, 1976) [Translated into English (Moscow: Mir, 1984)]
  113. Nasser I, Folk R Phys. Rev. B 52 15799 (1995)
  114. Frey E, Schwabl F Phys. Rev. B 42 8261 (1990)
  115. Kleinert H, Schulte-Frohlinde V Phys. Lett. B 342 284 (1995)
  116. Nickel B G, Meiron D I, Baker G A "Compilation of 2pt and 4pt graphs for continuous spin model", Report (Ontario: University of Guelph, 1977)
  117. Bervillier C, Shpot M Phys. Rev. B 46 955 (1992)
  118. Mayer I Physica A 252 450 (1998)
  119. Holovatch Yu, Krokhmal’s’kii T J. Math. Phys. 35 3866 (1994)
  120. Wilson K G, Fisher M E Phys. Rev. Lett. 28 240 (1972)
  121. Schloms R, Dohm V Europhys. Lett. 3 413 (1987); Nucl. Phys. B 328 639 (1989)
  122. Le Guillou J C, Zinn-Justin J Phys. Rev.B 21 3976 (1980)
  123. Newlove S A J. Phys. C: Solid State Phys. 16 L423 (1983)
  124. Shpot N A Zh. Eksp. Teor. Fiz. 98 1762 (1990) [Sov. Phys. JETP 71 989 (1990)]
  125. von Ferber C, Holovatch Yu Europhys. Lett. 39 31 (1997); Phys. Rev. E 56 6370 (1997); 59 6914 (1999); Folk R, Holovatch Yu, Yavors’kii T Phys. Rev. B 62 12195 (2000)
  126. Folk R, Holovatch Yu, in Correlations, Coherence, and Order (Eds D V Shopova, D I Uzunov, New York: Kluwer Acad./Plenum Publ., 1999) p. 83
  127. Hardy G H Divergent Series (Oxford: Clarendon Press, 1949)
  128. Eckmann J-P, Magnen J, Seneor R Commun. Math. Phys. 39 251 (1975)
  129. Lipatov L N Zh. Eksp. Teor. Fiz. 72 411 (1977) [Sov. Phys. JETP 45 216 (1977)]
  130. Brézin E, Le Guillou J C, Zinn-Justin J Phys. Rev. D 15 1544 (1977)
  131. Brézin E, Parisi G J. Stat. Phys. 19 269 (1978)
  132. Bray A J et al. Phys. Rev. B 36 2212 (1987)
  133. McKane A J Phys. Rev. B 49 12003 (1994)
  134. Baker G A (Jr) et al. Phys. Rev. Lett. 36 1351 (1976); Baker G A (Jr), Nickel B G, Meiron D I Phys. Rev. B 17 1365 (1978)
  135. Álvarez G, Martín-Mayor V, Ruiz-Lorenzo J J J. Phys. A: Math. Gen. 33 841 (2000)
  136. Baker G A (Jr), Graves-Morris P Padé Approximants (Reading, MA: Addison-Wesley, 1981)
  137. Watson P J S J. Phys. A: Math. Gen. 7 L167 (1974)
  138. Chisholm J S R Math. Comp. 27 841 (1973)
  139. Folk R, Holovatch Yu, Yavors’kii T, unpublished
  140. Zinn-Justin J Phys. Rep. 70 109 (1981)
  141. Holovatch Yu Lectures on Critical Phenomena: Polymers, Diluted Systems, Magnets (Linz, 1996, unpublished)
  142. Pitard E et al. Phys. Rev. Lett. 74 4361 (1995)
  143. Yoon J, Chan M H W Phys. Rev. Lett. 78 4801 (1997); Zassenhaus G M, Reppy J D Phys. Rev. Lett. 83 4800 (1999)
  144. Lipa J A et al. Phys. Rev. Lett. 84 4894 (2000)
  145. Tissier M T et al. Phys. Rev. B 65 140402(R, 2002)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions