Aging, rejuvenation, and memory effects in short-range Ising spin glass: Cu $\mathsf{_{0.5}}$ Co $\mathsf{_{0.5}}$ Cl $\mathsf{_{2}}$ -FeCl $\mathsf{_{3}}$ graphite bi-intercalation compound

Non-equilibrium aging dynamics in 3D Ising spin glass Cu 0.5 Co 0.5 Cl 2 -FeCl 3 GBIC has been studied by zero-field cooled (ZFC) magnetization and low frequency AC magnetic susceptibility (f=0.05 Hz), where $T_{g}=3.92 \pm 0.11$ K. The time dependence of the relaxation rate S(t)=(1/H)d $M_{\rm ZFC}/$ d $\ln t$ for the ZFC magnetization after the ZFC aging protocol, shows a peak at a characteristic time t cr near a wait time t w (aging behavior), corresponding to a crossover from quasi equilibrium dynamics to non-equilibrium. The time t cr strongly depends on t w , temperature (T), magnetic field (H), and the temperature shift ( $\Delta T$ ). The rejuvenation effect is observed in both $\chi^{\prime}$ and $\chi^{\prime\prime}$ under the T-shift and H-shift procedures. The memory of the specific spin configurations imprinted during the ZFC aging protocol can be recalled when the system is re-heated at a constant heating rate. The aging, rejuvenation, and memory effects observed in the present system are discussed in terms of the scaling concepts derived from numerical studies on 3D Edwards-Anderson spin glass model. Copyright Springer-Verlag Berlin/Heidelberg 2004