自旋链中所有$S$的精确Haldron映射和超普适性
Exact Haldane mapping for all $S$ and super universality in spin chains
摘要：
在半经典极限$S\to\infty$中，反铁磁海森堡自旋$S$链的低能动力学可以映射到1+1维的具有$θ$项的O（3）非线性$σ$模型.根据自旋链的对偶对称性以及最近建立的“悬挂边自旋”的拓扑意义，我们报告了一个到O（3）模型的{ \em精确}映射，该映射完全避免了传统的大$S$近似。我们的新方法展示了所有的超级通用功能的$θ$角度的概念，以前出现在理论的量子霍尔效应。它解释了为什么Halfman的原始想法显着产生正确的答案，尽管基本的复杂性，一般存在于半经典扩张的想法。
英文摘要：
The low energy dynamics of the anti-ferromagnetic Heisenberg spin $S$ chain in the semiclassical limit $S\to\infty$ is known to map onto the O(3) nonlinear $σ$ model with a $θ$ term in 1+1 dimension. Guided by the underlying dual symmetry of the spin chain, as well as the recently established topological significance of "dangling edge spins," we report an {\em exact} mapping onto the O(3) model that avoids the conventional large $S$ approximation altogether. Our new methodology demonstrates all the super universal features of the $θ$ angle concept that previously arose in the theory of the quantum Hall effect. It explains why Haldane's original ideas remarkably yield the correct answer in spite of the fundamental complications that generally exist in the idea of semiclassical expansions.
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。
