| Issue |
J. Phys. Colloques
Volume 49, Number C8, Décembre 1988
Proceedings of the International Conference on Magnetism
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|---|---|---|
| Page(s) | C8-1027 - C8-1028 | |
| DOI | https://doi.org/10.1051/jphyscol:19888468 | |
Proceedings of the International Conference on Magnetism
J. Phys. Colloques 49 (1988) C8-1027-C8-1028
DOI: 10.1051/jphyscol:19888468
Department of Physics, Tokyo Institute of Technology Oh-okayama, Meguro, Tokyo 152, Japan
J. Phys. Colloques 49 (1988) C8-1027-C8-1028
DOI: 10.1051/jphyscol:19888468
CRITICAL PROPERTIES OF FINITE-DIMENSIONAL SPIN GLASSES IN A CLUSTER MODEL
Y. UenoDepartment of Physics, Tokyo Institute of Technology Oh-okayama, Meguro, Tokyo 152, Japan
Abstract
We develop a cluster model treating interactions between clusters through cluster statistics of random percolation. The spin glass and percolation problems are found to be in a weak scaling relation via pc - p α (T - Tc)x . It allows us to calculate critical exponents using those already-known for percolation. The calculated values agree exactly with the mean field values for d > 6 if x = 1. They are close to the experimental values obtained in the measurements of wide ranges if x ≈ 2, while not in the narrow range case. These results suggest there is a cross-over from the percolation regime to the true critical one.