AI 中文总结
研究 Kagome 晶格中折叠角编码的几何曲率对拓扑磁振子相的影响，通过扩展自旋哈密顿量推导手性介导跳跃幅度，揭示曲率为拓扑磁振子学控制参数及与分子系统的类比，指出手性驱动跨尺度传输机制。
AI 中文摘要
我们表明，Kagome 晶格上两个共享角三角形之间的折叠角所编码的几何曲率为拓扑磁振子相提供了一个连续的调节旋钮。从具有交换、Dzyaloshinskii-Moriya（DM）相互作用和标量手性的高阶领结耦合的扩展自旋哈密顿量出发，我们推导出了手性介导的跳跃幅度，它取决于领结三角形的折叠和自旋倾斜。在小折叠角和倾斜角下，领结耦合超过 DM，建立了曲率主导的 regime。这些结果将曲率确立为拓扑磁振子学的固有几何控制参数，并揭示了与分子系统中手性诱导自旋选择性的直接类比，指出了手性驱动跨尺度传输的统一机制。该机制对于 DM 相互作用较弱或因对称性而被禁止的手性晶体尤为重要，例如具有六重螺旋轴的系统。
英文摘要
We show that geometric curvature, encoded in the folding angle between two corner-sharing triangles on a kagome lattice, provides a continuous tuning knob for topological magnon phase. Starting from an extended spin Hamiltonian with exchange, Dzyaloshinskii-Moriya (DM) interaction, and a higher-order bow-tie coupling of scalar chiralities, we derive the chirality-mediated hopping amplitude, which depends on the folding and spin canting of the bow-tie triangles. At small folding and canting angles, the bow-tie coupling surpasses DM, establishing a curvature-dominated regime. These results establish curvature as an intrinsic geometric control parameter for topological magnonics and reveal a direct analogy with chirality-induced spin selectivity in molecular systems, pointing to a unified mechanism for chirality driven transport across scales. The mechanism is particularly relevant for chiral crystals where the DM interaction is weak or forbidden by symmetry, as in systems with a six-fold screw axis.
CommentsCorrections: Typos, duplicate reference
