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Using information of the ground state topology and the damage spreadingtechnique we show a Griffiths-like phase is present in the three-dimensional$\pm J$ Edwards-Anderson spin glass model. With spin-flipping dynamics damagespreads for temperatures larger than $T_{\mathrm{g}}$, the glass transitiontemperature. With spin-orienting dynamics and for temperatures in$T_{\mathrm{g}} < T < T_{\mathrm{d}}$, damage spreads over a finite region ofthe system, composed of finite clusters of ferromagnetic character.$T_{\mathrm{d}}$ is the spin-orienting damage critical temperature, which is ofthe same order as the critical temperature of the ferromagnetic Ising model,$T_{\mathrm{c}}$. The present results allow us to identify the clusters whichoriginate the Griffiths-like phase in the present model.

Griffiths-like phase in the three-dimensional $\pm J$ Edwards-Anderson spin-glass model