Proof of single-replica equivalence in short-range spin glasses

Autor:	Newman, C. M., Read, N., Stein, D. L.
Rok vydání:	2022
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics Mathematical Physics
Zdroj:	Phys. Rev. Lett. 130, 077102 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.130.077102
Popis:	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. Comment: 5 pages, 0 figures; minor edits of and additions to v.1
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.10208 Zobrazit plný text záznamu View this record from Arxiv