AI 中文总结
研究二维p波磁体在Rashba自旋轨道耦合下的Ruderman-Kittel-Kasuya-Yosida间接交换，利用解析实空间格林函数形式揭示奇偶性驱动空间解耦等特性，确立p波磁体为工程非共线自旋纹理的有前途平台。
AI 中文摘要
非常规p波磁体具有依赖于动量的奇宇称自旋分裂，为非共线自旋电子学提供了一种根本不同的范例。本文从理论上研究了二维p波磁体在Rashba自旋轨道耦合下的Ruderman-Kittel-Kasuya-Yosida间接交换。利用解析实空间格林函数形式，揭示了磁响应中的奇偶性驱动空间解耦。由于奇宇称交换场，面外伊辛相互作用在结构上与宏观p波调制绝缘，在移动的费米波矢处各向同性振荡。面内海森堡分量表现出明显的、方向可调的空间拍频。除了共线交换，杂化能带还产生了高度可调的三分量迪拉克-莫利亚相互作用以及对称的非对角各向异性。揭示了面外手性扭曲由大量非相对论性p波动量转移驱动，而面内手性分量严格是相对论性的。此外，p波节点几何与Rashba能隙之间的竞争驱动了一种反常的、降维的交叉，其中面内手性分量在扩展的中间距离窗口内沿节点线遵循类似1D的1/R空间衰减，最终恢复传统的2D 1/R²渐近线。这些发现确立了p波磁体作为工程稳健、方向可调非共线自旋纹理的有前途平台。
英文摘要
Unconventional $p$-wave magnets, characterized by an odd-parity momentum-dependent spin splitting, offer a fundamentally distinct paradigm for non-collinear spintronics. Here, we theoretically investigate the Ruderman-Kittel-Kasuya-Yosida indirect exchange in a two-dimensional $p$-wave magnet subjected to Rashba spin-orbit coupling. Using an analytical real-space Green's function formalism, we uncover a parity-driven spatial decoupling in the magnetic response. Because of the odd-parity exchange field, the out-of-plane Ising interaction is structurally insulated from the macroscopic $p$-wave modulation, oscillating isotropically at the shifted Fermi wavevector. Conversely, the in-plane Heisenberg components exhibit pronounced, directionally tunable spatial beating. Beyond collinear exchange, the hybridized bands generate a highly tunable, three-component Dzyaloshinskii-Moriya interaction alongside symmetric off-diagonal anisotropies. We reveal that the out-of-plane chiral twisting is driven by the massive, nonrelativistic $p$-wave momentum shift, while the in-plane chiral components are strictly relativistic. Furthermore, the competition between the $p$-wave nodal geometry and the Rashba gap drives an anomalous, dimension-reducing crossover, in which the in-plane chiral components follow a 1D-like $1/R$ spatial decay along the nodal lines over an extended intermediate-distance window before ultimately recovering the conventional 2D $1/R^2$ asymptote. These findings establish $p$-wave magnets as promising platforms for engineering robust, directionally tunable non-collinear spin textures.
Comments18 pages, 6 figures, 3 appendices
