Baity-Jesi, MarcoCalore, EnricoCruz, AndrésFernández Pérez, Luis AntonioGil-Narvion, Jose MiguelGonzález-Adalid Pemartín, IsidoroMartín Mayor, VíctorMuñoz Sudupe, AntonioSeoane Bartolomé, BeatrizYllanes, David2025-11-052025-11-052024-01-04M. Baity-Jesi,E. Calore,A. Cruz,L.A. Fernández,J.M. Gil-Narvión,I. González-Adalid Pemartín,A. Gordillo-Guerrero,D. Íñiguez,A. Maiorano,E. Marinari,V. Martín-Mayor,J. Moreno-Gordo,A. Muñoz Sudupe,D. Navarro,I. Paga,G. Parisi,S. Pérez-Gaviro,F. Ricci-Tersenghi,J.J. Ruiz-Lorenzo,[...] & D. Yllanes, Multifractality in spin glasses, Proc. Natl. Acad. Sci. U.S.A. 121 (2) e2312880120, https://doi.org/10.1073/pnas.2312880120 (2024)0027-842410.1073/pnas.2312880120https://hdl.handle.net/20.500.14352/125786Artículo firmado por 23 autores. Copyright © 2024 the Author(s). Grant No. 454949; FPU18/02665; 2021–2023 Margarita Salas grant; Gruppi di ricerca 2020 POR FESR Lazio 2014- 2020We 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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal article1091-6490https//doi.org/10.1073/pnas.2312880120https://www.pnas.org/doi/10.1073/pnas.2312880120open access53Fractal dimensionsIntermittencyDisorder systemsLarge scale simulationsFísica (Física)2212 Física Teórica