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

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.

10 pages, no figures

References in corpus (4)

• Short-range Ising spin glasses: the metastate interpretation of replica symmetry breaking
• Fluctuation Bounds For Interface Free Energies in Spin Glasses
• Ground State Stability and the Nature of the Spin Glass Phase
• Proof of single-replica equivalence in short-range spin glasses

Cited by in corpus (2)

• Critical Droplets and Replica Symmetry Breaking
• Free Energy Difference Fluctuations in Short-Range Spin Glasses