Evidence for universal scaling in the spin-glass phase

TL;DR

This study provides strong evidence for universal scaling behavior in the spin-glass phase across different models and dimensions, potentially enabling a new renormalization group approach.

Contribution

It demonstrates universal scaling in spin-glass models through Monte Carlo simulations, unifying results across different coupling distributions and models.

Findings

Universal scaling observed in 3D and 4D Ising spin glasses.

Consistent scaling behavior in Migdal-Kadanoff hierarchical lattice.

Implication for developing a renormalization group approach within the spin-glass phase.

Abstract

We perform Monte Carlo simulations of Ising spin-glass models in three and four dimensions, as well as of Migdal-Kadanoff spin glasses on a hierarchical lattice. Our results show strong evidence for universal scaling in the spin-glass phase in all three models. Not only does this allow for a clean way to compare results obtained from different coupling distributions, it also suggests that a so far elusive renormalization group approach within the spin-glass phase may actually be feasible.