We have performed AC susceptibility and DC magnetic relaxation measurements on the spin ice system Dy$_2$Ti$_2$O$_7$ down to 0.08 K. The relaxation time of the magnetization has been estimated below 2 K down to 0.08 K. The spin dynamics of Dy$_2$Ti$_2$O$_7$ is well described by using two relaxation times ($\tau_{ \rm S}$ (short time) and $\tau_{ \rm L}$ (long time)). Both $\tau_{ \rm S}$ and $\tau_{ \rm L}$ increase on cooling. Assuming the Arrhenius law in the temperature range 0.5-1 K, we obtained an energy barrier of 9 K. Below 0.5 K, both $\tau_{ \rm S}$ and $\tau_{ \rm L}$ show a clear deviation from the thermal activated dynamics toward temperature independent relaxation, suggesting a quantum dynamics.

Categories: cond-mat.str-el cond-mat.mtrl-sci

Spin Dynamics at Very Low Temperature in Spin Ice Dy$_2$Ti$_2$O$_7$