Spatial correlation functions in $3-d$ Ising spin glasses

Cirano de Dominicis (1) , Irene Giardina (2) , Enzo Marinari (3) , Olivier C. Martin (4) , Francesco Zuliani (4)

1 SPhT - Service de Physique Théorique
2 CNR ISC, Via dei Taurini 19, 00185 Roma, Italy and Dipartimento di Fisica
3 INFN - Istituto Nazionale di Fisica Nucleare [Sezione di Roma 1]
4 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

We investigate spin-spin correlation functions in the low temperature phase of spin-glasses. With the replica field theory formalism, we examine in detail their infrared (long distance) behavior. In particular we identify a longitudinal mode that remains massive in the infinite volume limit. These issues are then addressed by numerical simulation; the analysis of our data is compatible with the prediction that the longitudinal mode remains massive, i.e., that it undergoes an exponential decay, a feature unexpected in the droplet/scaling framework.

Mots clés: Spin glasses; critical phenomena; random models; numerical simulations

Domaines: Mécanique statistique [cond-mat.stat-mech]

Cirano de Dominicis, Irene Giardina, Enzo Marinari, Olivier C. Martin, Francesco Zuliani. Spatial correlation functions in $3-d$ Ising spin glasses. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2005, 72, pp.014443. ⟨hal-00008767⟩