On the true low-energy excitations of the three-dimensional spin glass

Claudio Chilin; Enzo Marinari; Víctor Martín-Mayor; Giorgio Parisi; Juan J. Ruiz-Lorenzo; David Yllanes

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arXiv · 2606.07197

On the true low-energy excitations of the three-dimensional spin glass

Claudio Chilin·Enzo Marinari·Víctor Martín-Mayor·Giorgio Parisi·Juan J. Ruiz-Lorenzo·David Yllanes

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Abstract

We study the low-energy excitations of the three dimensional spin glass through a large-scale Monte Carlo simulation on lattices up to $L=18$. We find smooth extrapolations down to zero temperature, which, in the case of the energy and of the link overlap, can be directly -- and favourably -- compared with previous investigations featuring ground states (i.e., at zero temperature). The best fit for the fractal dimension of the excitations is provided by Replica-Symmetry Breaking theory, but we also consider the alternative TNT description. The $P(q)$ is found to verify the Parisi-Toulouse temperature scaling. Our data provides a spectacular confirmation of the overlap-equivalence hypothesis.

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Claudio Chilin, Enzo Marinari, Víctor Martín-Mayor, Giorgio Parisi, Juan J. Ruiz-Lorenzo, David Yllanes. 2026-06-05. On the true low-energy excitations of the three-dimensional spin glass. https://arxiv.org/abs/2606.07197

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