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On the Slowing Down of Spin Glass Correlation Length Growth:simulations meet experiments

The growth of the spin-glass correlation length has been measured as a function of the waiting time $t_{\mathrm{w}}$ on a single crystal of CuMn (6 at.\%), reaching values $ξ\sim 150$ nm, larger than any other glassy correlation-length measured to date. We find an aging rate $\mathrm{d}\ln\,t_{\mathrm{w}}/\mathrm{d}\ln\,ξ$ larger than found in previous measurements, which evinces a dynamic slowing-down as $ξ$ grows. Our measured aging rate is compared with simulation results by the Janus collaboration. After critical effects are taken into account, we find excellent agreement with the Janus data.