Scaling in spin-glasses

Daniel S. Fisher*, H. Sompolinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

Many results of the mean-field theory of spin-glasses violate simple scaling laws, including the magnetic field dependence of the transition lines, crossover effects of random anisotropy, and critical behavior in the ordered phase. These violations arise from two dangerously irrelevant variables. Below eight dimensions some mean-field exponents change and at d=6 scaling is restored. Below d=6 all scaling laws should be valid implying that the critical properties of real spin-glasses should be simpler than in mean-field theory. Experimental consequences are discussed.

Original languageEnglish
Pages (from-to)1063-1066
Number of pages4
JournalPhysical Review Letters
Volume54
Issue number10
DOIs
StatePublished - 1985
Externally publishedYes

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