Proof of single-replica equivalence in short-range spin glasses
Disordered Systems and Neural Networks
2023-03-01 v2 Statistical Mechanics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2207.10208,
title = {Proof of single-replica equivalence in short-range spin glasses},
author = {C. M. Newman and N. Read and D. L. Stein},
journal= {arXiv preprint arXiv:2207.10208},
year = {2023}
}
Comments
5 pages, 0 figures; minor edits of and additions to v.1