Universality in Three Dimensional Random-Field Ground States

Details Universality in Three Dimensional Random-Field Ground States Universality in Three Dimensional Random-Field Ground States

1998-07-09

arxiv.org/abs/cond-mat/9807131v2

Eur. Phys. J. B 7, 105 (1999)

Physics

Condensed Matter

Statistical Mechanics

5 pages, Revtex, 6 Figures included, accepted for Eur.Phys.J.B

Scientific paper

10.1007/s100510050593

We investigate the critical behavior of three-dimensional random-field Ising systems with both Gauss and bimodal distribution of random fields and additional the three-dimensional diluted Ising antiferromagnet in an external field. These models are expected to be in the same universality class. We use exact ground-state calculations with an integer optimization algorithm and by a finite-size scaling analysis we calculate the critical exponents nu, beta, and gamma-bar. While the random-field model with Gauss distribution of random fields and the diluted antiferromagnet appear to be in same universality class, the critical exponents of the random-field model with bimodal distribution of random fields seem to be significantly different.

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