Multifractality in spin glasses

• 成果类型: Article
• 署名作者: Baity-Jesi, Marco; Calore, Enrico; Cruz, Andres; Fernandez, Luis Antonio; Gil-Narvion, Jose Miguel; Pemartin, Isidoro Gonzalez-Adalid; Gordillo-Guerrero, Antonio; Iniguez, David; Maiorano, Andrea; Marinari, Enzo; Martin-Mayor, Victor; Moreno-Gordo, Javier; Sudupe, Antonio Munoz; Navarro, Denis; Paga, Ilaria; Parisi, Giorgio; Perez-Gaviro, Sergio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan Jesus; Schifano, Sebastiano Fabio; Seoane, Beatriz; Tarancon, Alfonso; Yllanes, David
• 署名单位: Swiss Federal Institutes of Technology Domain; Swiss Federal Institute of Aquatic Science & Technology (EAWAG); University of Ferrara; Istituto Nazionale di Fisica Nucleare (INFN); Consejo Superior de Investigaciones Cientificas (CSIC); CSIC - UAM - Institut de Fisica Teorica (IFT); University of Zaragoza; Complutense University of Madrid; Consejo Superior de Investigaciones Cientificas (CSIC); CSIC - UAM - Institut de Fisica Teorica (IFT); Universidad de Extremadura; Universidad de Extremadura; University of Siena; Sapienza University Rome; Consiglio Nazionale delle Ricerche (CNR); Istituto di Nanotecnologia (NANOTEC-CNR); Istituto Nazionale di Fisica Nucleare (INFN); Universidad de Extremadura; University of Zaragoza; University of Zaragoza; Consiglio Nazionale delle Ricerche (CNR); Istituto di Nanotecnologia (NANOTEC-CNR); University of Ferrara; Istituto Nazionale di Fisica Nucleare (INFN); Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Chan Zuckerberg Initiative (CZI)
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-13090
• DOI: 10.1073/pnas.2312880120
• 发表日期: 2024-01-09
• 关键词: phase; physics; field

摘要

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.