AI 中文总结
该研究以量子蒙特卡罗模拟结合钉扎自旋缺陷，探究退禁闭量子临界点附近VBS相中的禁闭自旋子复合体，证实了弦断裂现象，确立了钉扎自旋缺陷作为解析多自旋子结构的可控工具
AI 中文摘要
量子磁体为研究由演生规范场介导的禁闭与规范约束结构提供了微观平台。我们利用钉扎自旋缺陷和量子蒙特卡罗模拟，研究退禁闭量子临界点附近柱形价键固体（VBS）相中的禁闭自旋子复合体。钉扎自旋作为具有可控位置、自旋投影和VBS涡度的静态自旋子源，可用于测量缺陷能量并直接可视化相关VBS畴壁弦的实空间结构。对于匹配的自旋子-反自旋子源，当一个扩展偶极重组为两个较短的中性偶极时，激发能量在超过特征间距后趋于饱和，这为弦断裂提供了能量和实空间证据。我们进一步表明，畴壁连通性除受涡度和自旋投影中性度支配外，还由晶格尺度的VBS相位偏移决定。兼容的多钉扎模式会生成连通的四自旋子复合体和扩展畴壁网络，这些结构在局部畸变下仍保持全局连通性。这些结果确立了钉扎自旋缺陷作为一种可控工具，可用于组装和解析VBS相中的多自旋子结构及其禁闭弦。
英文摘要
Quantum magnets provide a microscopic platform for studying confinement and gauge-constrained structures mediated by emergent gauge fields. We investigate confined spinon complexes in the columnar valence-bond-solid (VBS) phase near deconfined quantum criticality using pinned-spin defects and quantum Monte Carlo simulations. The pinned spins act as static spinon sources with controlled positions, spin projections, and VBS vorticities, enabling measurement of defect energies and direct real-space visualization of the associated VBS domain-wall strings. For matched spinon-antispinon sources, the excitation energy saturates beyond a characteristic separation as one extended dipole reorganizes into two shorter neutral dipoles, providing energetic and real-space evidence of string breaking. We further show that domain-wall connectivity is governed by lattice-scale VBS phase offsets in addition to vorticity and spin-projection neutrality. Compatible multi-pin patterns generate connected four-spinon complexes and extended domain-wall networks that retain their global connectivity under local distortions. These results establish pinned-spin defects as a controlled tool for assembling and resolving multi-spinon structures and their confining strings in a VBS phase.
Comments6 pages, 4 figures + supplemental materials 10 pages, 9 figures
