Possible nonanalytic behavior of Ising models in random fields

Moshe Schwartz*, Yonathan Shapir, Amnon Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The magnetization, M, of dilute Ising ferromagnets with quenched random fields is shown to have accumulation points of poles in each of these fields hi(at hi → 0) and in the external uniform field H (at H → -hi). This occurs for all temperatures for which the nonrandom (zero-field) system has H ≠ 0. If both hi and -hi are possible then M is probably nonanalyti c for many values of hi. This casts doubts on expansions in the random fields.

Original languageEnglish
Pages (from-to)191-194
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number4
StatePublished - 3 Dec 1984


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