Short-range Ising spin glasses: a critical exponent study
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- 1998
- DOI:
- 10.1016/S0378-4371(98)00160-5
- arXiv:
- arXiv:cond-mat/9809264
- Bibcode:
- 1998PhyA..257..365N
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 9 pages, 01 figure (ps)