AI 中文总结
该研究确定自旋旋转强度为手性诱导自旋选择的平衡可观测量，通过Kane-Mele-Hubbard模型精确对角化揭示带隙分子抑制响应、近简并系统小N时放大的特性，为相关研究提供关键平衡观测指标。
AI 中文摘要
我们确定自旋旋转强度——一种手性奇性、有限频率的自旋-偶极交叉响应——为手性诱导自旋选择的平衡可观测量。时间反演对称性使静态响应消失，而非零SU(2)威尔逊环通量是独立必要条件。对Kane-Mele-Hubbard模型（N=4、6、8）的精确对角化显示，带隙分子会强烈抑制该响应，而近简并系统在小N时出现放大，其在更大尺寸下的持续性仍待研究。
英文摘要
We identify the spin rotatory strength---a chirality-odd, finite-frequency spin--dipole cross response---as the equilibrium observable for chiral-induced spin selectivity. Time-reversal symmetry forces the static response to vanish, while nonzero SU(2) Wilson-loop flux is an independent necessary condition. Exact diagonalization of a Kane--Mele--Hubbard model ($N{=}4,6,8$) reveals that gapped molecules robustly suppress the response, whereas near-degenerate systems show amplification at small $N$ whose persistence at larger sizes remains open.
Comments4 pages, 2 figures
