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Short-range Ising spin glasses: a critical exponent study

Author

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

Abstract

The critical properties of short-range Ising spin-glass models, defined on diamond hierarchical lattices of graph fractal dimensions df=2.58,3, and 4, and scaling factor 2, are studied via a method based on the Migdal–Kadanoff renormalization-group scheme. The order-parameter critical exponent β is directly estimated from the data of the local Edwards–Anderson (EA) order parameter, obtained through an exact recursion procedure. The scaling of the EA order parameter, leading to estimates of the ν exponent of the correlation length is also performed. Four distinct initial distributions of the quenched coupling constants (Gaussian, bimodal, uniform and exponential) are considered. Deviations from a universal behavior are observed and analysed in the framework of the renormalized flow in a two-dimensional appropriate parameter space.

Suggested Citation

  • Nogueira Jr, E. & Coutinho, S. & Nobre, F.D. & Curado, E.M.F., 1998. "Short-range Ising spin glasses: a critical exponent study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 257(1), pages 365-370.
    • Handle: RePEc:eee:phsmap:v:257:y:1998:i:1:p:365-370
    DOI: 10.1016/S0378-4371(98)00160-5
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