Comments on the critical behavior of random systems

Amnon Aharony*, Yoseph Imry, Shang Keng Ma

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

60 Scopus citations


The renormalization-group treatment of the critical behavior of random systems is augmented by including all the cumulants of the disorder distribution. The results substaniate Lubensky's argument that the n 0 isotropic fixed point is "unphysical," and that the phase transition of random m-component systems which have a positive specific-heat exponent will be sharp, with exponents determined by the "random" fixed point. The renormalization-group transformations of a random Gaussian model lead to a "runaway," which is shown to be unrelated to a first-order transition. This is related to the problem of a particle in a random potential with and without an absorptive part.

Original languageEnglish
Pages (from-to)466-473
Number of pages8
JournalPhysical Review B-Condensed Matter
Issue number1
StatePublished - 1976


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