Abstract
Within the perturbation diagrammatic expansion we discuss the origin of differences in determinations of the lower critical dimension of the random-field Ising model and show that below four dimensions metastability and hysteresis occur. We also explain the occurrence of a quasicritical d=2 behavior at weak random fields, which is responsible for local stability of the ordered state above two dimensions.
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Janiš, V. Diagrammatic expansion and metastability in the random-field Ising model. J Stat Phys 47, 931–938 (1987). https://doi.org/10.1007/BF01206166
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DOI: https://doi.org/10.1007/BF01206166