Damage spreading and ferromagnetic order in the three-dimensional ±J Edwards-Anderson spin glass model
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), UNLP, CCT La Plata - CONICET c.c. 16, Suc. 4, 1900 La Plata, Argentina
2 CONICET, Departamento de Física, Universidad Nacional de San Luis - D5700HHW San Luis, Argentina
3 CONICET, Centro Atómico Bariloche - 8400 San Carlos de Bariloche, Río Negro, Argentina
Accepted: 28 July 2010
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.
PACS: 75.10.Nr – Spin-glass and other random models / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) / 75.40.Mg – Numerical simulation studies
© EPLA, 2010