Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses

L. P. Arguin, C. M. Newman, D. L. Stein

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number187202
JournalPhysical Review Letters
Issue number18
StatePublished - Oct 29 2015

ASJC Scopus subject areas

  • General Physics and Astronomy


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