Archive ouverte HAL – 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

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, American Physical Society, 2005, 72, pp.014443. ⟨hal-00008767⟩

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. 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