title: Self-organized criticality in glassy spin systems requires a diverging number of neighbors.
abstract: 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.
authors.affiliation: Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland.
authors.forename: Juan Carlos
authors.initials: JC
authors.lastname: Andresen
authors.forename: Zheng
authors.initials: Z
authors.lastname: Zhu
authors.forename: Ruben S
authors.initials: RS
authors.lastname: Andrist
authors.forename: Helmut G
authors.initials: HG
authors.lastname: Katzgraber
authors.forename: V
authors.initials: V
authors.lastname: Dobrosavljević
authors.forename: Gergely T
authors.initials: GT
authors.lastname: Zimanyi