The high-temperature phase of the three-dimensional random-field Ising model is studied using the replica symmetry-breaking framework. It is found that, above the ferromagnetic transition temperature Tf, a glassy phase appears at intermediate temperatures TfTTb while the usual paramagnetic phase exists for T{}Tb only. The correlation length at Tb is computed and found to be compatible with previous numerical results.
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Mézard et al. (1994) studied this question.
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