ArticleProceedings of the National Academy of Sciences of the United States of America2024
Multifractality in spin glasses.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Dynamic heterogeneity in the self-induced spin glass state of elemental neodymium.Nature communications · 2026Article
- Optimization on multifractal loss landscapes explains a diverse range of geometrical and dynamical properties of deep learning.Nature communications · 2025Article
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23 authors.
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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.
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