Critical Exponents of the Three Dimensional Random Field Ising Model

Details Critical Exponents of the Three Dimensional Random Field Ising Model Critical Exponents of the Three Dimensional Random Field Ising Model

1993-04-13

arxiv.org/abs/hep-lat/9304007v1

Physics

High Energy Physics

High Energy Physics - Lattice

Revtex, 10 pages + 4 figures included as Latex files and 1 in Postscript

Scientific paper

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific heat, susceptibility, disconnected susceptibility and magnetization are determined simultaneously via finite size scaling. While the exponents for the magnetization and disconnected susceptibility are consistent with a first order transition, the specific heat appears to saturate indicating no latent heat. Sample to sample fluctuations of the susceptibilty are consistent with the droplet picture for the transition.

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