Spatial correlation functions in 3-d Ising spin glasses

Abstract

We investigate spin-spin correlation functions in the low temperature phase of spin-glasses. Using the replica field theory formalism, we examine in detail their infrared (long distance) behavior. In particular we identify a longitudinal mode that behaves as massive at intermediate length scales (near-infrared region). These issues are then addressed by numerical simulation; the analysis of our data is compatible with the prediction that the longitudinal mode appears as massive, i.e., that it undergoes an exponential decay, for distances smaller than an appropriate correlation length.

Distinction of 2 infra-red regimes: near is massive-like, far is not

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• A High-Performance Implementation of Atomistic Spin Dynamics Simulations on x86 CPUs
• Spin Glass Field Theory with Replica Fourier Transforms
• Large random correlations in individual mean field spin glass samples
• Construction and purpose of effective field theories for frustrated magnetic order