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arXiv · 2306.07132

Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses

C. M. Newman·D. L. Stein
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Abstract

We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on Gibbs states whose edge overlap values with a reference state fall within a specified range. Using this metastate we show that, in any dimension, the variance of free energy difference fluctuations between pure states within a single mixed Gibbs state with multiple edge overlap values diverges linearly with the volume. We discuss some implications of these results.

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C. M. Newman, D. L. Stein. 2023-06-12. Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses. https://doi.org/10.1088/1751-8121%2Fad2b87

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