非互易性和几何 frustrated 性使多体系统避免晶格秩序，表现出复杂液态行为。本文展示其相互作用产生新颖结构和动力学现象，通过非互易耦合的伊辛规范理论，发现 Wilson 环可观测量的线性渐进尺度及准粒子对束缚长度。
摘要：
非互易性和几何 frustrated 性使多体系统避免晶格秩序并表现出复杂、液态行为。本文显示其相互作用比单独部分更丰富，导致意外结构和动力学现象。在最小模型中，两个伊辛规范理论以非互易方式耦合，关键地保持局部 Z_2 对称性。我们发现两个副本的联合 Wilson 环可观测量表现出线性渐进尺度，其准粒子对束缚长度由非互易耦合强度调节。强相互作用诱导的非互易性导致单个解束缚激发的行为，使其在临界渗透簇上运动，遵循自回避路径。将此准粒子动力学映射到磁噪声谱，发现非互易性调节拓扑对数贡献并导致长寿命亚稳态，因准粒子捕获。本文为几何 frustrated 非互易性更广泛研究开辟了道路。
英文摘要：
Non-reciprocity and geometric frustration enable many-body systems to avoid crystalline order and instead exhibit complex, liquid-like behavior. Here we show that their interplay is richer than the sum of its parts, leading to surprising structural and dynamical phenomena. In our minimal model, two copies of Ising gauge theory are non-reciprocally coupled in a way that crucially preserves a local $\mathbb{Z}_2$ symmetry. We discover that the combined Wilson loop observable of the two copies exhibits linear asymptotic scaling, with a quasiparticle-pair confinement length tuned by the strength of the non-reciprocal coupling. Key dynamical features are revealed in the behavior of individual deconfined excitations due to strong interactions induced by the non-reciprocity, leading to motion on a critical percolation cluster that follows a self-avoiding trail. Mapping from this quasiparticle dynamics onto the magnetic noise spectrum, we discover that non-reciprocity tunes topological logarithmic contributions and causes long-lived metastable states due to quasiparticle trapping. Our work opens the way for broader investigations of geometrically frustrated non-reciprocity.
Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
我们研究蜂窝晶格上具有不同自旋自由度的经典$J_1$ - $J_2$模型。对于XY和海森堡自旋，该系统开发了一种螺旋自旋液体（SSL），这是一种热合作顺磁制度，自旋在动量空间中围绕螺旋轮廓波动，并且在低温下支持矢量自旋手性秩序，尽管没有长程磁秩序。与此形成强烈对比的是，对于伊辛矩，低温自旋关联在动量空间中形成了类似于SSL行为的倒数“kagomé”结构，并且在一系列交换耦合中持续存在。互惠“kagomé”的意外出现和持续归因于伊辛矩的刚性和挫折。在较高的温度下，当热涨落很强，自旋关联没有完全熔化时，倒易结构从“kagomé”向软自旋极限所要求的结构演化。这与连续自旋的SSL区域中的螺旋轮廓的行为形成强烈对比。我们提出了各种实验相关的系统，包括范德华磁体，如过渡金属磷三硫属化物TMPX $_3$，Cr $_2$ Ge $_2$ Te $_6$，稀土硫族卤化物（如HooF，ErOF和DyOF）和其他同构系统，以实现类SSL行为和/或倒易kagomé结构。
On the coupling constant bounds implying area decay of Wilson loop for Z2 lattice gauge theories with Wilson action Boltzmann factor given by bond variables described by transverse Ising model
Emergent superconformal symmetry in the phase diagram of a 1D $\mathbb{Z}_{2}$ lattice gauge theory
Karlstad University（卡尔斯特大学）；Andronikashvili Institute of Physics（安德罗尼卡什维利物理研究所）；Ilia State University（伊利亚州立大学）；Heinrich-Heine-Universität（海因里希·海涅大学）；Nordita, KTH Royal Institute of Technology and Stockholm University（诺迪塔，皇家理工学院与斯德哥尔摩大学）
Griffiths inequalities and Gibbs-Bogoliubov inequality for general gauge glasses with Gaussian disorder on Nishimori line
Graduate School of Information Sciences, Tohoku University（东北大学信息科学研究院）；School of Computing, Institute of Science Tokyo（东京科学大学理工学院）；Department of Physics, Institute of Science Tokyo（东京科学大学物理系）；Research and Education Institute for Semiconductors and Informatics, Kumamoto University（熊本大学半导体与信息教研院）；Sigma-i Co., Ltd.（Sigma-i有限公司）
