Scaling of the Random-Field Ising Model at Zero Temperature
Michael R. Swift, Alan J. Bray, Amos Maritan, Marek Cieplak, Jayanth R. Banavar
Abstract
The exact determination of ground states of small systems is used in a scaling study of the random-field Ising model. While three variants of the model are found to be in the same universality class in 3 dimensions, the Gaussian and bimodal models behave distinctly in 4 dimensions with the latter apparently having a discontinuous jump in the magnetization. A finite-size scaling analysis is presented for this transition.
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