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.

–

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