Abstract
The complex ac susceptibility of the two-dimensional Ising spin glass is measured as a function of the temperature and frequency. The results are first analyzed in terms of the Cole-Cole formalism. It is found that the median relaxation time diverges towards =0 K over as many as 16 decades according to activated dynamics, i.e., ∝exp[(b/T]. The distribution of relaxation times appears to be nearly symmetric in lnτ, covering at least 10 decades in width. These findings are corroborated with analyses based on exponential-logarithmic and stretched-exponential forms of the time decay of the spin-spin correlation function. The out-of-phase susceptibility is further found to be in conformity with activated dynamic scaling over a wide range of temperatures and frequencies. For the critical exponents the various methods of analysis yield, on the average, γ=4.4±0.2, ν=2.4±0.3, θ=-0.41±0.05, and ψ=0.8±0.2.
- Received 23 May 1989
DOI:https://doi.org/10.1103/PhysRevB.40.11243
©1989 American Physical Society