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Phase transitions in two-dimensional systems with continuous degeneracy


Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

We discuss the nature and sequence of phase transitions in two-dimensional systems with continuous degeneracy, in which other factors must be taken into account in addition to the interaction of point-like topological excitations, namely, the existence of an additional discrete degeneracy (which leads to the possibility of domain wall formation), the removal of accidental degeneracy by fluctuations, the formation of solitons, and the presence of a random potential acting on vortices. Formally, we discuss various modifications of the two-dimensional XY model, while physical objects that can be described by such models are various arrays of superconducting junctions and noncollinear planar antiferromagnets.

Fulltext pdf (608 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n03ABEH005838
PACS: 05.70.Fh, 64.60.Cn, 74.81.Fa, 75.10.Hk, 75.50.Ee (all)
DOI: 10.1070/PU2006v049n03ABEH005838
URL: https://ufn.ru/en/articles/2006/3/a/
000239241100001
2-s2.0-33746371040
2006PhyU...49..225K
Citation: Korshunov S E "Phase transitions in two-dimensional systems with continuous degeneracy" Phys. Usp. 49 225–262 (2006)
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Оригинал: Коршунов С Е «Фазовые переходы в двумерных системах с непрерывным вырождением» УФН 176 233–274 (2006); DOI: 10.3367/UFNr.0176.200603a.0233

References (300) ↓ Cited by (100)

  1. Berezinskii V L Zh. Eksp. Teor. Fiz. 59 907 (1970)
  2. Berezinskii V L Zh. Eksp. Teor. Fiz. 61 1144 (1971)
  3. Kosterlitz J M, Thouless D J J. Phys. C 5 L124 (1972)
  4. Kosterlitz J M, Thouless D J J. Phys. C 6 1181 (1973)
  5. Kosterlitz J M J. Phys. C 7 1046 (1974)
  6. Nelson D R, Kosterlitz J M Phys. Rev. Lett. 39 1201 (1977)
  7. Beasley M R, Mooij J E, Orlando T P Phys. Rev. Lett. 42 1165 (1979)
  8. Nelson D R, Pelcovits R A Phys. Rev. B 16 2191 (1977)
  9. Halperin B I, Nelson D R Phys. Rev. Lett. 41 121 (1978); Halperin B I, Nelson D R Phys. Rev. Lett. 41 519 (1978)
  10. Nelson D R, Halperin B I Phys. Rev. B 19 2457 (1979)
  11. Young A P Phys. Rev. B 19 1855 (1979)
  12. Kosterlitz J M, Thouless D J In Progress In Low Temperature Physics Vol. VIIB (Ed. D F Brewer) (Amsterdam: North-Holland, 1978) p. 371
  13. Nelson D R In Fundamental Problems In Statistical Mechanics V: Proc. Of The 5th Intern. Summer School, Enschede, The Netherlands, June 23 – July 5, 1980 (Ed. E G D Cohen) (Amsterdam: North-Holland, 1980) p. 53
  14. Nelson D R In Phase Transitions And Critical Phenomena Vol. 7 (Eds C Domb, J L Lebowitz) (London: Academic Press, 1983) p. 1
  15. Minnhagen P Rev. Mod. Phys. 59 1001 (1987)
  16. Efetov K B Zh. Eksp. Teor. Fiz. 78 2017 (1980)
  17. Lozovik Yu E, Akopov S G J. Phys. C 14 L31 (1981)
  18. Teitel S, Jayaprakash C Phys. Rev. Lett. 51 1999 (1983)
  19. Villain J J. Phys. C 10 1717 (1977)
  20. Teitel S, Jayaprakash C Phys. Rev. B 27 598 (1983)
  21. Halsey T C J. Phys. C 18 2437 (1985)
  22. Korshunov S E J. Stat. Phys. 43 17 (1986)
  23. Lee J-R et al. Phys. Rev. Lett. 79 2172 (1997)
  24. Korshunov S E Phys. Rev. Lett. 88 167007 (2002)
  25. Franzese G, Cataudella V, Korshunov S E, Fazio R Phys. Rev. B 9287 (2000)
  26. Cataudella V, Franzese G, Korshunov S E, Fazio R Physica B 284 - 288 431 (2000)
  27. Alexander S, Pincus P J. Phys. A 13 263 (1980)
  28. Korshunov S E, Uimin G V J. Stat. Phys. 43 1 (1986)
  29. Lee D H Phys. Rev. Lett. 52 433 (1984); Lee D H Phys. Rev. B 33 450 (1986)
  30. Kawamura H et al. J. Phys. Soc. Jpn. 53 2452 (1984)
  31. Korshunov S E Pis’ma ZhETF 41 525 (1985)
  32. Korshunov S E J. Phys. C 19 5927 (1986)
  33. Gekht R S, Bondarenko I N Zh. Eksp. Teor. Fiz. 113 2209 (1998)
  34. Korshunov S E Phys. Rev. B 65 054416 (2002)
  35. Huse D A, Rutenberg A D Phys. Rev. B 45 7536 (1992)
  36. Korshunov S E, Douçot B Phys. Rev. Lett. 93 097003 (2004)
  37. Park K, Huse D A Phys. Rev. B 64 134522 (2001)
  38. Chtchelkatchev N M et al. Pis’ma ZhETF 74 357 (2001)
  39. Barash Yu S, Bobkova I V Phys. Rev. B 65 144502 (2002)
  40. Golubov A A, Kupriyanov M Yu, Fominov Ya V Pis’ma ZhETF 75 709 (2002)
  41. Bulaevskii L N, Kuzii V V, Sobyanin A A Pis’ma ZhETF 25 314 (1977)
  42. Buzdin A I, Bulaevskii L N, Panyukov S V Pis’ma ZhETF 35 147 (1982)
  43. Buzdin A I, Vuiichich B, Kupriyanov M Yu Zh. Eksp. Teor. Fiz. 101 231 (1992)
  44. Korshunov S E Pis’ma ZhETF 41 216 (1985)
  45. Korshunov S E J. Phys. C 19 4427 (1986)
  46. Lee D H, Grinstein G Phys. Rev. Lett. 55 541 (1985)
  47. Ioffe L B, Feigel’man M V Phys. Rev. B 66 224503 (2002)
  48. Douçot B, Feigel’man M V, Ioffe L B Phys. Rev. Lett. 90 107003 (2003)
  49. Korshunov S E Zh. Eksp. Teor. Fiz. 89 531 (1985)
  50. Fujita T et al. Prog. Theor. Phys. 64 396 (1980)
  51. Brusov P N, Popov V N Zh. Eksp. Teor. Fiz. 80 1564 (1981)
  52. Brusov P N, Popov V N Phys. Lett. A 87 472 (1982)
  53. Tešanović Z Phys. Lett. A 100 158 (1984)
  54. Rubinstein M, Shraiman B, Nelson D R Phys. Rev. B 27 1800 (1983)
  55. Korshunov S E Helv. Phys. Acta 65 492 (1992)
  56. Korshunov S E Phys. Rev. B 48 1124 (1993)
  57. Mudry C, Wen X-G Nucl. Phys. B 549 613 (1999)
  58. Nattermann T, Scheidl S, Korshunov S E, Li M S J. Phys. (France) I 5 565 (1995)
  59. Korshunov S E, Nattermann T Phys. Rev. B 53 2746 (1996)
  60. Korshunov S E, Nattermann T Physica B 222 280 (1996)
  61. Tang L-H Phys. Rev. B 54 3350 (1996)
  62. Scheidl S Phys. Rev. B 55 457 (1997)
  63. Granato E, Kosterlitz J M Phys. Rev. B 33 6533 (1986)
  64. Dzyaloshinsky I J. Phys. Chem. Solids 4 241 (1958)
  65. Moriya T Phys. Rev. Lett. 4 228 (1960); Moriya T Phys. Rev. 120 91 (1960)
  66. Wegner F Z. Phys. B 206 465 (1967)
  67. Pearl J in Proc. of the Ninth Intern. Conf. on Low Temperature Physics, 1964 ( LT-9 , Eds J G Daunt et al.) (New York: Plenum Press, 1965) p. 566
  68. Fisher M E, Barber M N, Jasnow D Phys. Rev. A 8 1111 (1973)
  69. Landau L D Zh. Eksp. Teor. Fiz. 7 627 (1937); Landau L D Sobranie Trudov Vol. 1 (M.: Nauka, 1969), stat’ya №29
  70. Peierls R E Ann. Inst. Henri Poincaré 5 177 (1937)
  71. Mermin N D, Wagner H Phys. Rev. Lett. 17 1133 (1966)
  72. Mermin N D Phys. Rev. 176 250 (1968)
  73. Hohenberg P C Phys. Rev. 158 383 (1967)
  74. Berezinskii V L Diss. ... kand. fiz.-mat. nauk (M: ITF im. L.D. Landau, 1971)
  75. Villain J J. Phys. (Paris) 36 581 (1975)
  76. José J V et al. Phys. Rev. B 16 1217 (1977)
  77. Ohta T, Jasnow D Phys. Rev. B 20 139 (1979)
  78. Anderson P W, Yuval G, Hammann D R Phys. Rev. B 1 4464 (1970)
  79. Tobochnik J, Chester G V Phys. Rev. B 20 3761 (1979)
  80. Fernández J F, Ferreira M F, Stankiewicz J Phys. Rev. B 34 292 (1986)
  81. Weber H, Minnhagen P Phys. Rev. B 37 5986 (1988)
  82. Gupta R et al. Phys. Rev. Lett. 61 1996 (1988)
  83. Olsson P Phys. Rev. B 52 4526 (1995)
  84. Shih W Y, Stroud D Phys. Rev. B 30 6774 (1984)
  85. Ferer M, Velgakis M J Phys. Rev. B 27 314 (1983)
  86. Butera P, Comi M Phys. Rev. B 50 3052 (1994)
  87. Knops H J F Phys. Rev. Lett. 39 766 (1977)
  88. Weeks J D In Ordering In Strongly Fluctuating Condensed Matter Systems (Ed. T Riste) (New York: Plenum Press, 1980) p. 293
  89. Chui S T, Weeks J D Phys. Rev. B 14 4978 (1976)
  90. van der Eerden J P, Knops H J F Phys. Lett. A 66 334 (1978)
  91. Swendsen R H Phys. Rev. B 17 3710 (1978)
  92. van Beijeren H Phys. Rev. Lett. 38 993 (1977)
  93. Rys F Helv. Phys. Acta 36 537 (1963)
  94. Lieb E H Phys. Rev. Lett. 18 1046 (1967)
  95. Lieb E H, Wu F Y In Phase Transitions And Critical Phenomena Vol. 1 (Eds C Domb, M S Green) (London: Academic Press, 1972) p. 331
  96. Wiegmann P B J. Phys. C 11 1583 (1978)
  97. Ohta T Prog. Theor. Phys. 60 968 (1978)
  98. Amit D J, Goldschmidt Y Y, Grinstein S J. Phys. A 13 585 (1980)
  99. Stroud D, Kivelson S Phys. Rev. B 35 3478 (1987)
  100. Newrock R S et al. In Solid State Physics Vol. 54 (Eds H Ehrenreich, F Spaepen) (San Diego: Academic Press, 2000) p. 263
  101. Martinoli P, Leemann C J. Low Temp. Phys. 118 699 (2000)
  102. Vallat A, Korshunov S E, Beck H Phys. Rev. B 43 8482 (1991)
  103. Vallat A, Beck H Phys. Rev. B 50 4015 (1994)
  104. Fradkin E, Huberman B, Shenker S H Phys. Rev. B 18 4789 (1978)
  105. Kanô K, Naya S Prog. Theor. Phys. 10 158 (1953)
  106. Horiguchi T, Chen C C J. Math. Phys. 15 659 (1974)
  107. Sutherland B Phys. Rev. B 34 5208 (1986)
  108. Shih W Y, Stroud D Phys. Rev. B 32 158 (1985)
  109. Teitel S, Jayaprakash C J. Phys. Lett. (Paris) 46 L33 (1985)
  110. Korshunov S E Phys. Rev. B 63 134503 (2001)
  111. Xiao Y et al. Phys. Rev. B 65 214503 (2002)
  112. Korshunov S E, Douçot B Phys. Rev. B 70 134507 (2004)
  113. Korshunov S E Phys. Rev. B 71 174501 (2005)
  114. Straley J P, Morozov A Y, Kolomeisky E B Phys. Rev. Lett. 79 2534 (1997)
  115. Franz M, Teitel S Phys. Rev. Lett. 73 480 (1994); Franz M, Teitel S Phys. Rev. B 51 6551 (1995)
  116. Hattel S, Wheatley J Phys. Rev. B 50 16590 (1994)
  117. Hattel S A, Wheatley J M Phys. Rev. B 51 11951 (1995)
  118. Onsager L Phys. Rev. 65 117 (1944)
  119. Vdovichenko N V Zh. Eksp. Teor. Fiz. 47 715 (1964)
  120. Kramers H A, Wannier G H Phys. Rev. 60 252 (1941)
  121. Thijssen J M, Knops H J F Phys. Rev. B 37 7738 (1988)
  122. Thijssen J M Phys. Rev. B 40 5211 (1989)
  123. Korshunov S E Phys. Rev. Lett. 94 087001 (2005)
  124. Berge B et al. Phys. Rev. B 34 3177 (1986)
  125. Eikmans H et al. Phys. Rev. B 39 11759 (1989)
  126. Bulgadaev S A Phys. Lett. A 86 213 (1981); Bulgadaev S A Teor. Mat. Fiz. 51 424 (1982)
  127. Lee S J, Lee J-R, Kim B Phys. Rev. E 51 R4 (1995)
  128. Olsson P, Teitel S Phys. Rev. B 71 104423 (2005)
  129. Coniglio A et al. J. Phys. A 10 205 (1977)
  130. Stella A L, Vanderzande C Phys. Rev. Lett. 62 1067 (1989)
  131. Vanderzande C, Stella A L J. Phys. A 22 L445 (1989)
  132. Stauffer D Phys. Rep. 54 1 (1979)
  133. Klein W et al. Phys. Rev. Lett. 41 1145 (1978)
  134. Dotsenko Vik. S, Uimin G V Pis’ma ZhETF 40 236 (1984)
  135. Dotsenko V S, Uimin G V J. Phys. C 18 5019 (1985)
  136. Lee J, Kosterlitz J M, Granato E Phys. Rev. B 43 11531 (1991)
  137. Lee Y-H, Teitel S Phys. Rev. Lett. 65 2595 (1990)
  138. Denniston C, Tang C Phys. Rev. Lett. 79 451 (1997); Denniston C, Tang C Phys. Rev. B 58 6591 (1998)
  139. Nicolaides D B J. Phys. A 24 L231 (1991)
  140. Ramirez-Santiago G, José J V Phys. Rev. Lett. 68 1224 (1992); Ramirez-Santiago G, José J V Phys. Rev. B 49 9567 (1994)
  141. Lee S, Lee K-C Phys. Rev. B 49 15184 (1994)
  142. Ozeki Y, Ito N Phys. Rev. B 68 054414 (2003)
  143. Olsson P Phys. Rev. Lett. 75 2758 (1995)
  144. Olsson P Phys. Rev. Lett. 77 4850 (1996)
  145. Cataudella V, Nicodemi M Physica A 233 293 (1996)
  146. Olsson P Phys. Rev. B 55 3585 (1997)
  147. Grest G S Phys. Rev. B 39 9267 (1989)
  148. Lee J-R Phys. Rev. B 49 3317 (1994)
  149. Granato E, Nightingale M P Phys. Rev. B 48 7438 (1993)
  150. Boubcheur E H, Diep H T Phys. Rev. B 58 5163 (1998)
  151. Luo H J, Schülke L, Zheng B Phys. Rev. Lett. 81 180 (1998); Luo H J, Schülke L, Zheng B Phys. Rev. E 57 1327 (1998)
  152. Lee S et al. Phys. Rev. B 60 9256 (1999)
  153. YosefM, Domany E Phys. Rev. B 32 1778 (1985)
  154. Granato E J. Phys. C 20 L215 (1987)
  155. Granato E et al. Phys. Rev. Lett. 66 1090 (1991)
  156. Lee J, Granato E, Kosterlitz J M Phys. Rev. B 44 4819 (1991)
  157. Nightingale M P, Granato E, Kosterlitz J M Phys. Rev. B 52 7402 (1995)
  158. Lee S, Lee K-C, Kosterlitz J M Phys. Rev. B 56 340 (1997)
  159. den Nijs M Phys. Rev. B 46 10386 (1992)
  160. Davidson D, den Nijs M Phys. Rev. E 55 1331 (1997)
  161. Lerch Ph et al. Phys. Rev. B 41 11579 (1990)
  162. Martinoli P et al. Phys. Scripta T49 176 (1993)
  163. van Wees B J, van der Zant H S J, Mooij J E Phys. Rev. B 35 7291 (1987)
  164. van der Zant H S J, Rijken H A, Mooij J E J. Low Temp. Phys. 82 67 (1991)
  165. van der Zant H S J, Geerligs L J, Mooij J E Europhys. Lett. 19 541 (1992)
  166. van der Zant H S J et al. Phys. Rev. Lett. 69 2971 (1992)
  167. van der Zant H S J et al. Phys. Rev. B 54 10081 (1996)
  168. Feigel’man M V, Larkin A I Chem. Phys. 235 107 (1998)
  169. Feigel’man M V, Larkin A I, Skvortsov M A Phys. Rev. Lett. 86 1869 (2001); Feigel’man M V, LarkA I, Skvortsov M A in Mesoscopic and Strongly Correlated Electron Systems “Chernogolovka 2000”: Proc. of the Intern. Conf., Chernogolovka, Moscow Region, Russian Federation, 9 – 16 July 2000; Feigel’man M V, Larkin A I, Skvortsov M A Usp. Fiz. Nauk 99 (2001), Supplement
  170. Deutscher G, de Gennes P G In Superconductivity Vol. 2 (Ed. R D Parks) (New York: M. Dekker, 1969) p. 1005
  171. Villain J et al. J. Phys. (Paris) 41 1263 (1980)
  172. Shender E F Zh. Eksp. Teor. Fiz. 83 326 (1982)
  173. Choi M Y, Stroud D Phys. Rev. B 32 5773 (1985)
  174. Chen Q-H, Luo M-B, Jiao Z-K Phys. Rev. B 64 212403 (2001)
  175. Miyashita S, Shiba J J. Phys. Soc. Jpn. 53 1145 (1984)
  176. Lee D H et al. Phys. Rev. B 29 2680 (1984)
  177. Wannier G H Rev. Mod. Phys. 17 50 (1945)
  178. Wannier G H Phys. Rev. 79 357 (1950); Wannier G H Phys. Rev. B 7 5017 (1973)
  179. Husimi K, Syôzi I Prog. Theor. Phys. 5 177 (1950); Husimi K, Syôzi I Prog. Theor. Phys. 5 341 (1950)
  180. Van Himbergen J E Phys. Rev. B 33 7857 (1986)
  181. Xu H-J, Southern B W J. Phys. A 29 L133 (1996)
  182. Lee S, Lee K-C Phys. Rev. B 57 8472 (1998)
  183. Rastelli E et al. Phys. Rev. B 45 7936 (1992)
  184. Baxter R J J. Phys. A 13 L61 (1980)
  185. Pokrovsky V L, Uimin G V Phys. Lett. A 45 467 (1973); Pokrovskii V L, Uimin G V Zh. Eksp. Teor. Fiz. 65 1691 (1973)
  186. Riedel E K Physica A 106 110 (1981)
  187. Nienhuis B, Riedel E K, Schick M Phys. Rev. B 27 5625 (1983)
  188. Kim D, Levy P M, Uffer L F Phys. Rev. B 12 989 (1975)
  189. Aharony A J. Phys. A 10 389 (1977)
  190. Baxter R J J. Phys. C 6 L445 (1973)
  191. Chubukov A V, Golosov D I J. Phys. Condens. Matt. 3 69 (1991)
  192. Suzuki N, Matsubara F Phys. Rev. B 55 12331 (1997)
  193. Kawamura H, Miyashita S J. Phys. Soc. Jpn. 54 4530 (1985)
  194. Golosov D I, Chubukov A V Pis’ma ZhETF 50 416 (1989)
  195. Zhitomirsky M E Phys. Rev. Lett. 88 057204 (2002)
  196. Cabra D C et al. Phys. Rev. B 65 094418 (2002)
  197. Hida K J. Phys. Soc. Jpn. 70 3673 (2001)
  198. Suematsu H et al. Solid State Commun. 40 241 (1981)
  199. Svistov L E et al. Phys. Rev. B 67 094434 (2003)
  200. Svistov L E i dr. Pis’ma ZhETF 81 133 (2005)
  201. Ono T et al. Phys. Rev. B 67 104431 (2003)
  202. Wang R, Bradley W F, Steinfink H Acta Crystallogr. 18 249 (1965)
  203. Bonnin A, Lecerf A C.R. Acad. Sci. (Paris) 262 1782 (1966)
  204. Townsend M G, Longworth G, Roudaut E Phys. Rev. B 33 4919 (1986)
  205. Wills A S et al. Phys. Rev. B 61 6156 (2000)
  206. Wills A S et al. Phys. Rev. B 62 R9264 (2000)
  207. Obradors X et al. Solid State Commun. 65 189 (1988)
  208. Ramirez A P, Espinosa G P, Cooper A S Phys. Rev. Lett. 64 2070 (1990)
  209. Broholm C et al. Phys. Rev. Lett. 65 3173 (1990)
  210. Uemura Y J et al. Phys. Rev. Lett. 73 3306 (1994)
  211. Ramirez A P, Hessen B, Winklemann M Phys. Rev. Lett. 84 2957 (2000)
  212. Hagemann I S et al. Phys. Rev. Lett. 86 894 (2001)
  213. Higgins M J et al. Phys. Rev. B 61 R894 (2000)
  214. Elser V Phys. Rev. Lett. 62 2405 (1989)
  215. Baxter R J J. Math. Phys. 11 784 (1970)
  216. Harris A B, Kallin C, Berlinsky A J Phys. Rev. B 45 2899 (1992)
  217. Nelson D R Phys. Rev. B 18 2318 (1978)
  218. Ritchey I, Chandra P, Coleman P Phys. Rev. B 47 15342 (1993)
  219. Chandra P, Coleman P, Ritchey I J. Phys. (Paris) I 3 591 (1993)
  220. Rzchowski M S Phys. Rev. B 55 11745 (1997)
  221. Cherepanov V B, Kolokolov I V, Podivilov E V Pis’ma ZhETF 74 674 (2001)
  222. Lee D H, Grinstein G, Toner J Phys. Rev. Lett. 56 2318 (1986)
  223. Coppersmith S N et al. Phys. Rev. Lett. 46 549 (1981); Coppersmith S N Phys. Rev. B 25 349 (1982)
  224. Peierls R E Proc. Cambr. Philos. Soc. 32 477 (1936)
  225. Domb C In Phase Transitions And Critical Phenomena Vol. 3 (Eds C Domb, M S Green) (New York: Academic Press, 1974)
  226. Saito Y Z. Phys. B 32 75 (1978)
  227. Wu F Y, Wang Y K J. Math. Phys. 17 439 (1976)
  228. Zamolodchikov A B Zh. Eksp. Teor. Fiz. 75 341 (1978)
  229. Dotsenko V S Zh. Eksp. Teor. Fiz. 75 1083 (1978)
  230. Korshunov S E, Vallat A, Beck H Phys. Rev. B 51 3071 (1995)
  231. Korshunov S E Phys. Rev. B 72 144417 (2005)
  232. Chalker J T, Holdsworth P C W, Shender E F Phys. Rev. Lett. 68 855 (1992)
  233. Reimers J N, Berlinsky A J Phys. Rev. B 48 9539 (1993)
  234. Sachdev S Phys. Rev. B 45 12377 (1992)
  235. Chubukov A Phys. Rev. Lett. 69 832 (1992)
  236. Chubukov A J. Appl. Phys. 73 5639 (1993)
  237. Veretennikov A V et al. Physica B 284 - 288 495 (2000)
  238. Ryazanov V V et al. Phys. Rev. Lett. 86 2427 (2001)
  239. Frolov S M et al. Phys. Rev. B 70 144505 (2004)
  240. Kontos T et al. Phys. Rev. Lett. 89 137007 (2002)
  241. Ryazanov V V et al. Phys. Rev. B 65 020501 (2002)
  242. Fisher M E, Ma S, Nickel B G Phys. Rev. Lett. 29 917 (1972)
  243. Swendsen R H Phys. Rev. Lett. 49 1302 (1982)
  244. Domany E, Schick M, Swendsen R H Phys. Rev. Lett. 52 1535 (1984)
  245. Van Himbergen J E Phys. Rev. Lett. 53 5 (1984)
  246. Jonsson A, Minnhagen P, Nylén M Phys. Rev. Lett. 70 1327 (1993)
  247. Caillol J M, Levesque D Phys. Rev. B 33 499 (1986)
  248. Minnhagen P Phys. Rev. Lett. 54 2351 (1985); Minnhagen P Phys. Rev. B 32 3088 (1985)
  249. Minnhagen P, Wallin M Phys. Rev. B 36 5620 (1987); Minnhagen P, Wallin M Phys. Rev. B 40 5109 (1989)
  250. Thijssen J M, Knops H J F Phys. Rev. B 38 9080 (1988)
  251. Levin Y, Li X, Fisher M E Phys. Rev. Lett. 73 2716 (1994)
  252. Migdal A A Zh. Eksp. Teor. Fiz. 69 1457 (1975)
  253. Kadanoff L P Ann. Phys. (New York) 100 359 (1976)
  254. Askew C R et al. Comput. Phys. Commun. 42 21 (1986)
  255. Sachrajda A et al. Phys. Rev. Lett. 55 1602 (1985)
  256. Daunt J G et al. J. Low Temp. Phys. 70 547 (1988)
  257. Davis J C et al. Phys. Rev. Lett. 60 302 (1988)
  258. Freeman M R et al. Phys. Rev. Lett. 60 596 (1988)
  259. Freeman M R, Richardson R C Phys. Rev. B 41 11011 (1990)
  260. Xu J, Crooker B C Phys. Rev. Lett. 65 3005 (1990)
  261. Wang X W, Gasparini F M Phys. Rev. B 34 4916 (1986)
  262. Stein D L, Cross M C Phys. Rev. Lett. 42 504 (1979)
  263. Volovik G E, Mineev V P Zh. Eksp. Teor. Fiz. 72 2256 (1977)
  264. Polyakov A M Phys. Lett. B 59 79 (1975)
  265. Khokhlachev S B Zh. Eksp. Teor. Fiz. 70 265 (1976)
  266. Kawamura H Phys. Rev. Lett. 82 964 (1999)
  267. Leggett A J Rev. Mod. Phys. 47 331 (1975)
  268. Mineev V P Usp. Fiz. Nauk 139 303 (1983); Mineev V P Sov. Phys. Usp. 26 160 (1983)
  269. Leggett A J Ann. Phys. (New York) 85 11 (1974)
  270. Azaria P, Delamotte B, Mouhanna D Phys. Rev. Lett. 68 1762 (1992)
  271. Azaria P et al. Phys. Rev. B 45 12612 (1992)
  272. Forrester M G et al. Phys. Rev. B 37 5966 (1988)
  273. Forrester M G, Benz S P, Lobb C J Phys. Rev. B 41 8749 (1990)
  274. Chakrabarti A, Dasgupta C Phys. Rev. B 37 7557 (1988)
  275. Fisher M P A, Tokuyasu T A, Young A P Phys. Rev. Lett. 66 2931 (1991)
  276. Nelson D R Phys. Rev. B 27 2902 (1983)
  277. Korshunov S E Phys. Rev. B 46 6615 (1992)
  278. Li M S, Cieplak M Phys. Lett. A 184 223 (1994)
  279. Derrida B Phys. Rev. Lett. 45 79 (1980); Derrida B Phys. Rev. B 24 2613 (1981)
  280. Cha M-C, Fertig H A Phys. Rev. Lett. 74 4867 (1995)
  281. Sherrington D, Kirkpatrick S Phys. Rev. Lett. 35 1792 (1975)
  282. Edwards S F, Anderson P W J. Phys. F 5 965 (1975)
  283. Mézard M, Parisi G, Virasoro M A Spin Glass Theory And Beyond (Singapore: World Scientific, 1987)
  284. Ozeki Y, Nishimori H J. Phys. A 26 3399 (1993)
  285. Maucourt J, Grempel D R Phys. Rev. B 56 2572 (1997)
  286. Carpentier D, Le Doussal P Phys. Rev. Lett. 81 2558 (1998)
  287. Carpentier D, Le Doussal P Nucl. Phys. B 588 565 (2000)
  288. Gupta P, Teitel S Phys. Rev. Lett. 82 5313 (1999)
  289. Imry Y, Ma S Phys. Rev. Lett. 35 1399 (1975)
  290. Binder K Z. Phys. B 50 343 (1983)
  291. Aizenman M, Wehr J Phys. Rev. Lett. 62 2503 (1989)
  292. Hui K, Berker A N Phys. Rev. Lett. 62 2507 (1989)
  293. Lee S J, Kim B, Lee J Physica A 315 314 (2002)
  294. Ko M K et al. Phys. Rev. E 67 046120 (2003)
  295. Cataudella V, Fazio R Europhys. Lett. 61 341 (2003)
  296. Choi M Y, Chung J S, Stroud D Phys. Rev. B 35 1669 (1987)
  297. Benedict K A, Moore M A Phys. Rev. B 39 4592 (1989)
  298. Granato E, Kosterlitz J M Phys. Rev. Lett. 62 823 (1989)
  299. Cataudella V Europhys. Lett. 44 478 (1998)
  300. Granato E, Domínguez D Phys. Rev. B 63 094507 (2001)
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