English

Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study

Disordered Systems and Neural Networks 2009-10-31 v4 Statistical Mechanics

Abstract

With the help of the replica exchange Monte Carlo method and the improved Monte Carlo renormalization-group scheme, we investigate over a wide area in the phase diagram of the Gaussian random field Ising model on the simple cubic lattice. We found that the phase transition at a weak random field belongs to the same universality class as the zero-temperature phase transition. We also present a possible scenario for the replica symmetry breaking transition.

Keywords

Cite

@article{arxiv.cond-mat/0012488,
  title  = {Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study},
  author = {M. Itakura},
  journal= {arXiv preprint arXiv:cond-mat/0012488},
  year   = {2009}
}

Comments

4 pages, revtex, 6 figures. Final version to appear in PRB(Brief Report)