Critical amplitude ratio of the susceptibility in the random-site two-dimensional Ising model (original) (raw)

Abstract

We present a different way of probing the universality class of the site-diluted two-dimensional Ising model. We analyze Monte Carlo data for the magnetic susceptibility, introducing a fitting procedure in the critical region applicable even for a single sample with quenched disorder. This gives us the possibility to fit simultaneously the critical exponent, the critical amplitude, and the sample-dependent pseudocritical temperature. The critical amplitude ratio of the magnetic susceptibility is seen to be independent of the concentration q of the empty sites for all investigated values of q < or =0.25. At the same time the average effective exponent gamma(eff) is found to vary with the concentration q, which may be argued to be due to logarithmic corrections to the power law of the pure system. These corrections are canceled in the susceptibility amplitude ratio as predicted by theory. The central charge of the corresponding field theory was computed and compared well with the t...

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References (30)

  1. R. B. Stinchcombe, in Phase Transitions and Crit- ical Phenomena, Vol. 7, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1983)
  2. W. Selke, L.N. Shchur and A.L. Talapov, in Annual Reviews of Computational Physics, Vol. 1, edited by D. Stauffer (World Scientific, Singapore, 1995)
  3. A.B. Harris, J.Phys. C: Solid State Phys., 7 (1974) 1671
  4. Vik.S. Dotsenko and Vl.S. Dotsenko, Sov. Phys. JETP Lett., 33 (1981) 37; Adv. in Physics, 32 (1983) 129
  5. B.N. Shalaev, Sov. Phys. Solid State 26 (1984) 1811; Phys. Rep. 237 (1994) 129; R. Shankar, Phys. Rev. Lett. 58 (1987) 2466; 61 (1988) 239 0; A.W.W. Ludwig, Phys. Rev. Lett. 61 (1988) 2388; Nucl. Phys. B 330 (1990) 639
  6. J.-S. Wang, W. Selke, Vl. S. Dotsenko, and V. B. Andre- ichenko, Physica A 164 (1990) 221
  7. A. Röder, J. Adler, and W. Janke, Physica A 265 (1999) 28
  8. V.N. Plechko, Phys. Lett. A 239 (1998) 289
  9. R. M. Ziff, Phys. Rev. Lett. 69 (1992) 2670
  10. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. 72 (1994) 2785; Phys. Rev. B 49 (1994) 15764; J.-K. Kim, Phys. Rev. B 61 (2000) 1246
  11. S. L. A. de Queiroz, R. B. Stinchcombe, Phys. Rev. B 50 (1994) 9976; G. Mazzeo and R. Kühn, Phys. Rev. E 60 (1999) 3823
  12. H.-O. Heuer, Phys. Rev. B 45 (1992) 5691; H.G. Balles- teros, L. A. Fernandez, V. Martin-Mayor, A. Munoz Sudupe, G. Parisi, J. J. Ruiz-Lorenzo (Universita di Roma I), J. Phys. A: Math. Gen. 30 (1997) 8379
  13. W. Selke, L. N. Shchur, O. A. Vasilyev, Physica A 259 (1998) 388
  14. V. Privman, P.C. Hohenberg, A. Aharony, in Phase Transitions and Critical Phenomena, Vol. 14, edited by C. Domb and J.L. Lebowitz (Academic, New York, 1991)
  15. T.T. Wu, B.M. McCoy, C.A. Tracy and E. Barouch, Phys. Rev. B 13 (1976) 316
  16. R.M. Ziff, private communication
  17. G. Delfino and J. Cardy, Nucl.Phys.B 519 (1998) 551
  18. G. Delfino, G.T. Barkema, and J.L. Cardy, Nucl. Phys. B 565 (2000) 521
  19. M. Caselle, R. Tateo and S. Vinti, Nucl.Phys. B 562 (1999) 549
  20. J. Salas and A.D. Sokal, J. Stat. Phys. 88 (1997) 567
  21. B. Derrida, B.W. Southern and D. Stauffer, J. Physique 48 (1987) 335
  22. L.N. Shchur, Comp. Phys. Comm., 121-122, 83 (1999);
  23. L.N. Shchur, H.W.J. Blöte and J. R. Heringa, Physica A 241 (1997) 579; L.N. Shchur and H.W.J. Blöte, Phys. Rev. E 55 (1997) R4905; R.M. Ziff, Computers in Physics 12 (1998) 385
  24. D. Stauffer and A. Aharony, Introduction to percolation theory, (Taylor & Francis, London, 1992)
  25. M.E. Fisher and A.E. Ferdinand, Phys. Rev. Lett. 19 (1967) 169
  26. U. Wolff, Phys. Rev. Lett. 62 (1988) 361
  27. X.P. Kong, H. Au-Yang, and J.H.H. Perk, Phys. Lett. A, 116 (1986) 54
  28. S. Wiseman and E. Domany, Phys. Rev. E 52 (1995) 3469; Phys. Rev. Lett. 81 (1998) 22; Phys. Rev. E 58 (1998) 2938
  29. V.B. Andreichenko, Vl. S. Dotsenko, W. Selke and J.-S. Wang, Nucl. Phys. B 334 (1990) 531
  30. N.C. Bartelt, T. L. Einstein, and L.D. Roelofs, Phys. Rev. B 35 (1987) 1776