发表机构
Institute of Integrated Research, Institute of Science Tokyo; Graduate School of Information Sciences, Tohoku University（东京科学大学综合研究 institute; 东北大学情报科学研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对带铁磁偏置的全连接伊辛p自旋玻璃，解析证明铁磁-自旋玻璃边界的重入性，结合已建立的逻辑关系，通过双温度复制计算为自旋玻璃相内所有温度对下自旋构型重叠度消失的温度混沌提供证据。
AI 中文摘要
重入相变与温度混沌是自旋玻璃的两种异常性质，长期以来被认为在物理上互不相关。我们近期已建立这两种现象之间的逻辑关系[Phys. Rev. E 112, 044140 (2025)]。在本文中，我们针对带铁磁偏置的全连接伊辛p自旋玻璃，给出该逻辑关系的明确实例。通过在三重临界点附近展开自由能，我们解析证明，在所考察的有限p>2的整个范围内，铁磁-自旋玻璃边界在三重临界点附近呈现重入性。根据上述逻辑关系可推知，在自旋玻璃相中存在至少一对不同的温度，使得自旋构型的重叠度消失。这是温度混沌的必要条件，但仅在选定的温度对下出现重叠度消失，而在同一自旋玻璃相内的其他温度对下不出现，这种情况相当异常。因此，这些结果强烈表明存在温度混沌，即自旋构型的重叠度在自旋玻璃相内的所有温度对下均消失。双温度复制计算为该行为提供了独立证据。
英文摘要
Reentrant transitions and temperature chaos are two unusual properties of spin glasses. We recently established a general logical relation between these two phenomena [Phys. Rev. E \textbf{112}, 044140 (2025)]. In the present paper, we provide an explicit example of this logical relation in the fully connected Ising $p$-spin glass with a ferromagnetic bias. By expanding the free energy around the triple point, we show analytically that the ferromagnetic--spin glass boundary is reentrant in the vicinity of the triple point throughout the examined range of finite $p>2$. It then follows from the above logical relation that there exists at least one pair of distinct temperatures in the spin glass phase for which the overlap of spin configurations vanishes. This is a necessary condition for temperature chaos, but it would be quite unusual for the overlap to vanish only for selected temperature pairs but not for others within a single spin glass phase. These results therefore strongly suggest the existence of temperature chaos in the sense that the overlaps of spin configurations vanish for all temperature pairs throughout the spin glass phase. Independent evidence for this behavior is provided by a two-temperature replica calculation.
Comments56 pages, 3 figures
