Reply to "Comment on Evidence for the droplet picture of spin glasses"

Abstract

Using Monte Carlo simulations (MCS) and the Migdal-Kadanoff approximation (MKA), Marinari et al. study in their comment on our paper the link overlap between two replicas of a three-dimensional Ising spin glass in the presence of a coupling between the replicas. They claim that the results of the MCS indicate replica symmetry breaking (RSB), while those of the MKA are trivial, and that moderate size lattices display the true low temperature behavior. Here we show that these claims are incorrect, and that the results of MCS and MKA both can be explained within the droplet picture.

1 page, 1 figure

References in corpus (2)

• Evidence for the droplet/scaling picture of spin glasses
• Comment on "Evidence for the Droplet/Scaling Picture of Spin Glasses"

Cited by in corpus (9)

• Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
• Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions
• Spin glasses without time-reversal symmetry and the absence of a genuine structural glass transition
• The influence of critical behavior on the spin glass phase
• Techniques of replica symmetry breaking and the storage problem of the McCulloch-Pitts neuron
• Real Space Migdal-Kadanoff Renormalisation of Glassy Systems: Recent Results and a Critical Assessment
• Evidence for the double degeneracy of the ground-state in the 3D $\pm J$ spin glass
• Spin-Glass Attractor on Tridimensional Hierarchical Lattices in the Presence of an External Magnetic Field
• Pair correlation function for spin glasses