Experimental Determination of the Critical Spin Glass Correlation Length

Abstract

Measuring ThermoRemanent Magnetization (TRM) decays on a single crystal CuMn(6$\%$) spin glass sample, we have systematically mapped the rapid decrease of the characteristic timescale $t{w}_{eff}$ near $T_g$. Using $t{w}_{eff}$ to determine the length scale of the growth of correlations during the waiting time, ${\xi }_{TRM}$, (observed in both numerical studies and experiment), we observe both growth of ${\xi }_{TRM}$ in the spin glass phase and then a rapid reduction very close to $T_g$. We interpret this reduction in ${\xi }_{TRM}$, for all waiting times, as being governed by the critical correlation length scale ${\xi }_{crit}=a(T-T_c{)}^{-\nu }$.

7 pages, 8 figures