Proof of single-replica equivalence in short-range spin glasses
arXiv:2207.10208 · doi:10.1103/PhysRevLett.130.077102
Abstract
We consider short-range Ising spin glasses in equilibrium at infinite system size, and prove that, for fixed bond realization and a given Gibbs state drawn from a suitable metastate, each translation- and locally-invariant function (for example, self-overlaps) of a single pure state in the decomposition of the Gibbs state takes the same value for all the pure states in that Gibbs state. We describe several significant applications to spin glasses.
arXiv comment5 pages, 0 figures; minor edits of and additions to v.1
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