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Publication
Physical Review Letters
Paper
Lower critical dimension and the roughening transition of the random-field Ising model
Abstract
It is shown by a calculation analogous to that carried out by Wallace and Zia for the pure Ising model that the lower critical dimension of the Ising model in a random field is 3 and not 2 as suggested by domain energy arguments. Further, the critical dimension for the roughening transition is shown to be 5 as compared to 3 for the pure Ising model. © 1981 The American Physical Society.