Lowering of dimensionality in phase transitions with random fields

Amnon Aharony*, Yoseph Imry, Shang Keng Ma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

412 Scopus citations


We prove that to all orders in perturbation expansion, the critical exponents of a phase transition in a d-dimensional (4<d<6) system with short-range exchange and a random quenched field are the same as those of a (d-2)-dimensional pure system. Heuristic arguments are given to discuss both this result and the random-field Ising model for 2<d<6.

Original languageEnglish
Pages (from-to)1364-1367
Number of pages4
JournalPhysical Review Letters
Issue number20
StatePublished - 1976


FundersFunder number
National Science FoundationDMR 76-08443


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