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

Physical Review B 72 (2005) 014443

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.

• 1. Service de Physique Théorique (SPhT),
  CNRS : URA2306 – CEA : DSM/SPHT
• 2. CNR ISC, Via dei Taurini 19, 00185 Roma, Italy and Dipartimento di Fisica,
  Università degli studi di Roma I – La Sapienza
• 3. Dipartimento di Fisica and INFN,
  Università degli studi di Roma I – La Sapienza
• 4. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud