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Journal Articles Proceedings of the National Academy of Sciences of the United States of America Year : 2023

Multifractality in spin glasses

Isidoro González-Adalid Pemartín
Antonio Muñoz Sudupe
  • Function : Author
Juan Jesús Ruiz-Lorenzo
Beatriz Seoane


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.
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Dates and versions

hal-04344056 , version 1 (04-04-2024)




Marco Baity-Jesi, Enrico Calore, Andrés Cruz, Luis Antonio Fernández, José Miguel Gil-Narvión, et al.. Multifractality in spin glasses. Proceedings of the National Academy of Sciences of the United States of America, inPress, 121 (2), ⟨10.1073/pnas.2312880120⟩. ⟨hal-04344056⟩
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