%0 Journal Article
%A Baity-Jesi, Marco
%A Calore, Enrico
%A Cruz, Andrés
%A Fernández Pérez, Luis Antonio
%A Gil-Narvion, Jose Miguel
%A González-Adalid Pemartín, Isidoro
%A Martín Mayor, Víctor
%A Muñoz Sudupe, Antonio
%A Seoane Bartolomé, Beatriz
%A Yllanes, David
%T Multifractality in spin glasses
%D 2024
%@ 0027-8424
%U https://hdl.handle.net/20.500.14352/125786
%X 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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