Multifractality in spin glasses

Baity-Jesi, Marco ; Calore, Enrico ; Cruz, Andrés ; Fernández, Luis Antonio ; Gil-Narvión, José Miguel ; González-Adalid Pemartín, Isidoro ; Gordillo-Guerrero, Antonio ; Íñiguez, David ; Maiorano, Andrea ; Marinari, Enzo ; Martín-Mayor, Víctor ; Moreno-Gordo, Javier ; Muñoz Sudupe, Antonio ; Navarro, Denis (Universidad de Zaragoza) ; Paga, Ilaria ; Parisi, Giorgio ; Pérez-Gaviro, Sergio (Universidad de Zaragoza) ; Ricci-Tersenghi, Federico ; Ruiz-Lorenzo, Juan Jesús ; Schifano, Sebastiano Fabio ; Seoane, Beatriz ; Tarancón, Alfonso (Universidad de Zaragoza) ; Yllanes, David

Resumen: 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.

Idioma: Inglés

DOI: 10.1073/pnas.2312880120

Año: 2024

Publicado en: Proceedings of the National Academy of Sciences of the United States of America 121, 2 (2024), e312880120 [7 pp.]
ISSN: 0027-8424

Financiación: info:eu-repo/grantAgreement/ES/MCIU/FPU18/02665
Financiación: info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2019-103939RB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN AEI/PID2020-112936GB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN AEI/PID2022-136374NB-C21
Financiación: info:eu-repo/grantAgreement/ES/MICINN AEI/PID2022-136374NB-C22
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-094684-B-C21
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-094684-B-C22
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2021-125506NA-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Tecnología Electrónica (Dpto. Ingeniería Electrón.Com.)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)