Spatial correlation functions in 3-d Ising spin glasses

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

2004-08-04

arxiv.org/abs/cond-mat/0408088v2

Phys. Rev B 72, 014443 (2005).

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevB.72.014443

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.

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