Short-range Ising spin glasses: a critical exponent study

E. Nogueira , S. Coutinho, F.D. Nobre and E.M.F. Curado

Physica A: Statistical Mechanics and its Applications, 1998, vol. 257, issue 1, 365-370

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.

Keywords: Spin glasses; Short range interactions; Critical exponents (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:257:y:1998:i:1:p:365-370

DOI: 10.1016/S0378-4371(98)00160-5

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