Volume 38, Number 4, May I 1997
|Page(s)||273 - 278|
|Published online||01 September 2002|
Scaling of the random-field Ising model at zero temperature
Istituto Nazionale di Fisica della Materia, International School for Advanced Studies, I-34014 Grignano di Trieste and sezione INFN di Trieste, Italy
2 Department of Theoretical Physics, University of Manchester, Manchester M13 9PL, UK
3 Institute of Physics, Polish Academy of Sciences - 02-668 Warsaw, Poland
4 Department of Physics and Center for Materials Physics, The Pennsylvania State University - 104 Davey Laboratory, University Park, PA 16802 USA
Accepted: 17 March 1997
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.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 75.10.Hk – Classical spin models
© EDP Sciences, 1997
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