Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-10-19
Physics
Condensed Matter
Statistical Mechanics
7 pages, 3 figures
Scientific paper
10.1016/S0010-4655(99)00308-2
We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each random field configuration we vary the ferromagnetic coupling strength J and compute the ground state exactly. We examine the case of different random field probability distributions: gaussian distribution, zero width bimodal distribution h_{i} = \pm 1, wide bimodal distribution h_{i} = \pm 1 +\delta h (with a gaussian $\delta h$). We also study the case of the randomly diluted antiferromagnet in a field,which is thought to be in the same universality class. We find that in the infinite volume limit the magnetization is discontinuous in J and we compute the relevant exponent, which, according to finite size scaling, equals $ 1/ \nu $ . We find different values of $ \nu $ for the different random field distributions, in disagreement with universality.
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