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

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

2009-11-25

arxiv.org/abs/0911.4837v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

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

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