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

¹ 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

^a lrubio@inifta.unlp.edu.ar

Received: 24 March 2010
Accepted: 28 July 2010

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 T_g, the glass transition temperature. With spin-orienting dynamics and for temperatures in T_g<T<T_d, damage spreads over a finite region of the system, composed of finite clusters of ferromagnetic character. T_d is the spin-orienting damage critical temperature, which is of the same order as the critical temperature of the ferromagnetic Ising model, T_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.