Crossover from random exchange to random field critical behaviour

Amnon Aharony*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


The equality φ= γ between the exponent φ, which describes crossover from zero- to finite-random-field critical behaviour, and the order parameter susceptibility exponent γ, is shown to be replaced by φ= γ when the random exchange dominates. Rough renormalization group estimates yield φ= γ = 1.1 for three-dimensional random Ising models. The implications to experiments on dilute antiferromagnets in uniform fields are discussed. Similarly to spin glasses, the nonlinear susceptibility of the latter is shown to diverge as (T— TN)-0.7.

Original languageEnglish
Pages (from-to)617-621
Number of pages5
JournalJournal de Physique (Paris), Lettres
Issue number12
StatePublished - 15 Jun 1986


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