Self-Organized Criticality in Glassy Spin Systems Requires a Diverging Number of Neighbors Academic Article uri icon


  • 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 [Phys. Rev. Lett. 83, 1034 (1999)]. 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.

author list (cited authors)

  • Andresen, J. C., Zhu, Z., Andrist, R. S., Katzgraber, H. G., Dobrosavljević, V., & Zimanyi, G. T.

citation count

  • 15

publication date

  • August 2013