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arXiv · 1508.06327

Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses

L. -P. Arguin·C. M. Newman·D. L. Stein
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Abstract

We present a technique to generate relations connecting pure state weights, overlaps, and correlation functions in short-range spin glasses. These are obtained directly from the unperturbed Hamiltonian and hold for general coupling distributions. All are satisfied in phases with simple thermodynamic structure, such as the droplet-scaling and chaotic pairs pictures. If instead nontrivial mixed-state pictures hold, the relations suggest that replica symmetry is broken as described by a Derrida-Ruelle cascade, with pure state weights distributed as a Poisson-Dirichlet process.

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L. -P. Arguin, C. M. Newman, D. L. Stein. 2015-08-25. Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses. https://doi.org/10.1103/physrevlett.115.187202

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