Short Range Ising Spin Glasses: a critical exponent study

Details Short Range Ising Spin Glasses: a critical exponent study Short Range Ising Spin Glasses: a critical exponent study

1998-09-20

arxiv.org/abs/cond-mat/9809264v1

Physica A, 257, 365-370 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 01 figure (ps)

Scientific paper

The critical properties of short-range Ising spin-glass models, defined on a diamond hierarchical lattice of graph fractal dimension $d_{f}=2.58$, 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 $\beta $ 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 $\nu $ 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 behaviour are observed and analysed in the framework of the renormalized flow in a two dimensional appropriate parameter space.

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