Possible nonanalytic behavior of Ising models in random fields

Moshe Schwartz, Yonathan Shapir, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

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
Volume106
Issue number4
DOIs
StatePublished - 3 Dec 1984
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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