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Universality in short-range Ising spin glasses

Author

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  • Jr, E.Nogueira
  • Coutinho, S
  • Nobre, F.D
  • Curado, E.M.F

Abstract

The role of the distribution of coupling constants in the critical exponents of the short-range Ising spin-glass model is investigated via real space renormalization group. A saddle-point spin glass critical point characterized by a fixed-point distribution is found in an appropriated parameter space. The critical exponents β and ν are directly estimated from the data of the local Edwards–Anderson order parameters for the model defined on a diamond hierarchical lattice of fractal dimension df=3. Four distinct initial distributions of coupling constants (Gaussian, bimodal, uniform and exponential) are considered; the results clearly indicate a universal behaviour.

Suggested Citation

  • Jr, E.Nogueira & Coutinho, S & Nobre, F.D & Curado, E.M.F, 1999. "Universality in short-range Ising spin glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(1), pages 125-132.
    • Handle: RePEc:eee:phsmap:v:271:y:1999:i:1:p:125-132
    DOI: 10.1016/S0378-4371(99)00229-0
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    Cited by:

    1. Nogueira, E. & Andrade, R.F.S. & Coutinho, Sérgio, 2006. "Multifractal properties of aperiodic Ising models with competition and frustration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 365-378.

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