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On the universality class of the 3d Ising model with long-range-correlated disorder

Author

Listed:
  • Ivaneyko, D.
  • Berche, B.
  • Holovatch, Yu.
  • Ilnytskyi, J.

Abstract

We analyze a controversial topic about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both theoretical and numerical studies agree on the validity of the extended Harris criterion [A. Weinrib, B.I. Halperin, Phys. Rev. B 27 (1983) 413] and indicate the existence of a new universality class, numerical values of the critical exponents found so far differ considerably. To resolve this discrepancy we perform extensive Monte Carlo simulations of a 3d Ising model with non-magnetic impurities being arranged in a form of lines along randomly chosen axes of a lattice. The Swendsen–Wang algorithm is used alongside with a histogram reweighting technique and finite-size scaling analysis to evaluate the values of critical exponents governing magnetic phase transition. Our estimates for these exponents differ from both previous numerical simulations and are in favor of a non-trivial dependency of the critical exponents on the peculiarities of long-range correlation decay.

Suggested Citation

  • Ivaneyko, D. & Berche, B. & Holovatch, Yu. & Ilnytskyi, J., 2008. "On the universality class of the 3d Ising model with long-range-correlated disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4497-4512.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:18:p:4497-4512
    DOI: 10.1016/j.physa.2008.03.034
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