Scaling of the Random-Field Ising Model at Zero Temperature

Details Scaling of the Random-Field Ising Model at Zero Temperature Scaling of the Random-Field Ising Model at Zero Temperature

1997-05-28

arxiv.org/abs/cond-mat/9705289v1

Europhysics Letters 38(4), 273 (1997)

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages Latex, 4 figures

Scientific paper

10.1209/epl/i1997-00237-5

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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