Phase transitions occur in the long-range RFIM in d=1 for 1<α<3/2 and in d=2 for 2<α≤3, including the critical α=3.
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Phase transitions in low-dimensional long-range random field Ising models
Phase transitions occur in the long-range RFIM in d=1 for 1<α<3/2 and in d=2 for 2<α≤3, including the critical α=3.