Multifractality in spin glasses
Abstract
We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of sites at the same distance are compared. The scaling of these fluctuations, as the spin-glass coherence length grows with time, is characterized through the computation of the singularity spectrum and its corresponding Legendre transform. A comparatively small number of site pairs controls the average correlation that governs the response to a magnetic field. We explain how this scenario of dramatic fluctuations (at length scales smaller than the coherence length) can be reconciled with the smooth, self-averaging behavior that has long been considered to describe spin-glass dynamics.
Cite
@article{arxiv.2306.04591,
title = {Multifractality in spin glasses},
author = {Janus Collaboration and M. Baity-Jesi and E. Calore and A. Cruz and L. A. Fernandez and J. M. Gil-Narvion and I. Gonzalez-Adalid Pemartin and A. Gordillo-Guerrero and D. Iñiguez and A. Maiorano and E. Marinari and V. Martin-Mayor and J. Moreno-Gordo and A. Muñoz Sudupe and D. Navarro and I. Paga and G. Parisi and S. Perez-Gaviro and F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo and S. F. Schifano and B. Seoane and A. Tarancon and D. Yllanes},
journal= {arXiv preprint arXiv:2306.04591},
year = {2024}
}
Comments
15 pages, 15 figures