Damage spreading and ferromagnetic order in the three-dimensional $\pm J$ Edwards-Anderson spin glass model

M. LETICIA RUBIO PUZZO; F. ROMÁ; S. BUSTINGORRY; P. M. GLEISER

EUROPHYSICS LETTERS

EPL ASSOCIATION

Lugar: Mulhouse, France; Año: 2010 vol. 91 p. 370081 - 370086

0295-5075

Using information of the ground state topology we show that the damage spreading technique unveils ferromagnetic order 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 for an interpretation within a single framework of known --and sometimes puzzling-- results, giving an intuitive picture for growing order in spin glasses.