Juan Carlos Andresen, Ruben S. Andrist, Helmut G. Katzgraber, V. Dobrosavljevic, Gergely T. Zimanyi
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 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. Our numerical results, obtained on systems of unprecedented size, demonstrate that self-organized criticality is recovered only in the strict limit of infinite space dimensions (or equivalently of long-ranged interactions), and is not a generic property of spin-glass models in finite space dimensions.
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http://arxiv.org/abs/1210.3796
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