학술논문
Multifractality in spin glasses
Document Type
Working Paper
Author
Janus Collaboration; Baity-Jesi, M.; Calore, E.; Cruz, A.; Fernandez, L. A.; Gil-Narvion, J. M.; Pemartin, I. Gonzalez-Adalid; Gordillo-Guerrero, A.; Iñiguez, D.; Maiorano, A.; Marinari, E.; Martin-Mayor, V.; Moreno-Gordo, J.; Sudupe, A. Muñoz; Navarro, D.; Paga, I.; Parisi, G.; Perez-Gaviro, S.; Ricci-Tersenghi, F.; Ruiz-Lorenzo, J. J.; Schifano, S. F.; Seoane, B.; Tarancon, A.; Yllanes, D.
Source
PNAS 121, e2312880120 (2024)
Subject
Language
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.
Comment: 15 pages, 15 figures
Comment: 15 pages, 15 figures