Self-organized criticality in glassy spin systems requires a diverging number of neighbors

Juan Carlos Andresen, Zheng Zhu, Ruben S. Andrist, Helmut G. Katzgraber, V. Dobrosavljević, Gergely T. Zimanyi

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We investigate the conditions required for general spin systems with frustration and disorder to display self-organized criticality, a property which so far has been established only for the fully connected infinite-range Sherrington-Kirkpatrick Ising spin-glass model. Here, we study both avalanche and magnetization jump distributions triggered by an external magnetic field, as well as internal field distributions in the short-range Edwards-Anderson Ising spin glass for various space dimensions between 2 and 8, as well as the fixed-connectivity mean-field Viana-Bray model. Our numerical results, obtained on systems of unprecedented size, demonstrate that self-organized criticality is recovered only in the strict limit of a diverging number of neighbors and is not a generic property of spin-glass models in finite space dimensions.

Original languageEnglish
Article number097203
JournalPhysical Review Letters
Issue number9
StatePublished - 27 Aug 2013
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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