截断弦态空间方法及其在不可积自旋-1/2 Heisenberg链中的应用
Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
AI总结：
针对不可积自旋-1/2 Heisenberg链的自旋动力学研究，提出截断弦态空间方法，揭示多Q Bethe弦态与弦禁闭现象，为相关低维模型提供统一分析框架并成功应用于实际材料观测。
摘要：
通过规避获取Bethe ansatz（贝特拟设）方程精确弦态解的难点，我们设计了一种截断弦态空间方法，用于研究处于交错磁场中、具有不同磁化强度的不可积自旋-1/2 Heisenberg链的自旋动力学。所得动力学谱在有序波矢Q的整数倍处呈现一系列弹性峰，表明基态中存在多Q Bethe弦态。在低磁化强度下，随着交错磁场强度增加，谱线呈现出不同弦连续谱之间的分离，反映了Bethe弦的禁闭效应。该方法为理解低维不可积Heisenberg模型中的自旋动力学提供了一个基于弦态的统一框架，并成功应用于准一维反铁磁体YbAlO₃各相的实验观测分析。
英文摘要：
By circumventing the difficulty of obtaining exact string state solutions to Bethe ansatz equations, we devise a truncated string state space approach for investigating spin dynamics in a nonintegrable spin-$\frac{1}{2}$ Heisenberg chain subjected to a staggered field at various magnetizations. The obtained dynamical spectra reveal a series of elastic peaks at integer multiples of the ordering wave vector $Q$, indicating the presence of multi-$Q$ Bethe string states within the ground state. The spectrum exhibits a separation between different string continua as the strength of the staggered field increases at low magnetization, reflecting the confinement of the Bethe strings. This approach provides a unified string-state-based framework for understanding spin dynamics in low-dimensional nonintegrable Heisenberg models, which has a successful application to observations across various phases of the quasi-one-dimensional antiferromagnet $\rm YbAlO_3$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
