Proof of Single-Replica Equivalence in Short-Range Spin Glasses
Proof of Single-Replica Equivalence in Short-Range Spin Glasses
复制标题
短程自旋玻璃中单副本等价性的证明
DOI：
10.1103/physrevlett.130.077102
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发表时间：
2023
影响因子：
8.6
通讯作者：
Stein, D. L.
中科院分区：
文献类型：
--
作者：
Newman, C. M.;Read, N.;Stein, D. L.
我们考虑了在无限系统尺寸下处于平衡状态的短程Ising自旋玻璃，并证明了对于固定键的实现和从合适的亚稳态中得到的给定吉布斯态，吉布斯态分解中单个纯态的每个平移和局部不变函数（例如自重叠）对于该吉布斯态中的所有纯态具有相同的值。我们描述了几个重要的应用自旋玻璃。
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.