Self-organized criticality in glassy spin systems requires long-range interactions

ORAL

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 in spin models only for the infinite-range Sherringtion-Kirkpatrick Ising spin-glass model [PRL 83, 1034 (1999)]. We study the avalanche and the magnetization jump distribution triggered by an external magnetic field in the short-range Edward-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 interaction), and is not a generic property of spin-glass models in finite space dimensions.

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Authors

  • Juan Carlos Andresen

    Deparment of Physics, ETH Zurich, Department of Physics, ETH Zurich

  • Ruben S. Andrist

    Deparment of Physics, ETH Zurich

  • Helmut G. Katzgraber

    Department of Physics and Astronomy, Texas A\&M University and ETH Zurich, Texas A\&M University, Department of Physics and Astronomy, Texas A\&M University

  • Vladimir Dobrosavljevic

    Florida State University, Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL, Department of Physics and National High Magnetic Field Laboratory, Florida State University

  • Gergerly T. Zimanyi

    University of California, Davis, Department of Physics, University of California