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

Abstract

Using information of the ground-state topology we show that the damage spreading technique unveils ferromagnetic order in the three-dimensional ±J Edwards-Anderson spin glass model. With spin-flipping dynamics damage spreads for temperatures larger than Tg, the glass transition temperature. With spin-orienting dynamics and for temperatures in Tg<T<Td, damage spreads over a finite region of the system, composed of finite clusters of ferromagnetic character. Td is the spin-orienting damage critical temperature, which is of the same order as the critical temperature of the ferromagnetic Ising model, Tc. 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.