量子自旋系统中通过Polyakov禁闭实现的涌现对称性保护拓扑相
Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
AI总结：
本研究利用Polyakov禁闭机制，将狄拉克自旋液体转化为对称性保护拓扑态，通过变分蒙特卡洛模拟提供微观证据，为SPT物理开辟了新路径并架起跨领域桥梁。
AI中文摘要：
现代凝聚态物理的一个核心主题是从量子自旋系统中涌现分数化激发与规范结构。然而，理解这些奇异自由度如何重新禁闭为新的物质相仍是一个基础挑战。本研究中，我们证明紧致规范理论的基础——Polyakov禁闭机制可作为动力学引擎，将狄拉克自旋液体转化为对称性保护拓扑（SPT）态。从具有自旋依赖规范通量的狄拉克自旋液体出发，我们证明物理希尔伯特空间固有的单占据约束会触发单极凝聚，动力学禁闭体自旋子同时保留无能隙边缘模式，实现量子自旋霍尔效应的自旋子类比。我们对含额外Dzyaloshinskii-Moriya相互作用的三角反铁磁体开展大规模变分蒙特卡洛模拟，为该禁闭SPT相提供微观证据，包括Wilson环的特征面积定律与拓扑纠缠熵的消失。此外，我们识别出磁场下可测量的自旋泵浦响应，其直接编码母体狄拉克锥的贝里曲率。我们的结果揭示了通往SPT物理的此前未被探索的路径，架起了规范理论、量子磁学与拓扑物质领域的桥梁。
英文摘要：
A main theme in modern condensed matter physics is the emergence of fractionalized excitations and gauge structures from quantum spin systems. However, understanding how these exotic degrees of freedom reconfine into new phases of matter remains a fundamental challenge. In this work, we demonstrate that Polyakov's confinement mechanism-a foundation of compact gauge theory-can serve as a dynamical engine to transform a Dirac spin liquid into a symmetry-protected topological (SPT) state. Starting with a Dirac spin liquid with spin-dependent gauge fluxes, we show that the single-occupancy constraint inherent to the physical Hilbert space triggers monopole condensation, dynamically confining bulk spinons while preserving gapless edge modes-realizing a spinon analog of the quantum spin Hall effect. Using a large-scale variational Monte Carlo simulation on a triangular antiferromagnet with an additional Dzyaloshinskii-Moriya interaction, we provide microscopic evidence for this confined SPT phase, including a characteristic area law for the Wilson loop and vanishing topological entanglement entropy. Furthermore, we identify a measurable spin-pump response under magnetic fields, which directly encodes the Berry curvature of the parent Dirac cones. Our results reveal a previously unexplored pathway to SPT physics, bridging the fields of gauge theory, quantum magnetism, and topological matter.
