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, and Gergely T. Zimanyi
Phys. Rev. Lett. 111, 097203 – Published 27 August 2013


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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 14 October 2012


© 2013 American Physical Society

Authors & Affiliations

Juan Carlos Andresen1, Zheng Zhu2, Ruben S. Andrist1, Helmut G. Katzgraber2,1, V. Dobrosavljević3, and Gergely T. Zimanyi4

  • 1Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland
  • 2Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA
  • 3Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA
  • 4Department of Physics, University of California, Davis, California 95616, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Vol. 111, Iss. 9 — 30 August 2013

Reuse & Permissions
Access Options
Heating up of Superconductors
January 27, 2017

This collection marks the 30th anniversary of the discovery of high-temperature superconductors. The papers selected highlight some of the advances that have been made to date, both in understanding why these compounds behave in the way they do, and in utilizing them in applications. The papers included in the collection have been made free to read.

APS and CERN Sign Open Access Agreement for SCOAP3

APS and CERN, the host organization of SCOAP3 (Sponsoring Consortium for Open Access Publishing in Particle Physics), have signed an agreement to make the high-energy physics (HEP) articles published in three leading APS journals open access beginning January 1, 2018. This agreement acts to support the publishing of open access content for wider benefit of the HEP community.

Authorization Required




Sign up to receive regular email alerts from Physical Review Letters

Log In



Article Lookup

Paste a citation or DOI

Enter a citation