AI 中文总结
研究共线磁体中非相对论奇宇称自旋分裂，利用群论建立完整分类，推导相关映射与耦合规则，构建晶格模型，筛选数据库验证，得出h、k波磁体有反常霍尔响应，m波无，完成分波层级结构并建立对称标准。
AI 中文摘要
动量相关的非相对论自旋分裂提供了共线磁体的对称指纹，并能控制非常规的电子、磁振子和输运现象。虽然共线磁体中的偶宇称s、d、g和i波分裂已被广泛研究，但奇宇称对应物除了p波和f波类别外仍未被探索。本文利用群论建立了共线磁体中奇宇称自旋分裂的完整分类。我们表明，除了p波和f波形式外，还允许具有l = 5和7的h波和k波分裂，而具有l = 9的m波分裂构成上限。我们推导了从晶体学点群不可约表示到最低阶奇宇称基函数的完整映射，并制定了对称破缺轴向场与选择诱导奇宇称类别的母奈尔序之间的耦合规则。我们进一步构建了实现h波、k波和m波分裂的最小晶格模型。在此分类的指导下，我们筛选了MAGNDATA数据库，表明圆偏振光可分别将PT对称反铁磁体Fe₂TeO₆和MgFe₆Ge₆驱动到h波和k波相，在电子能带和磁振子谱中均表现出标志性的自旋分裂。对称分析和贝里曲率计算表明，h波和k波的共线奇宇称磁体允许反常霍尔响应，而m波类别则禁止。这些结果共同完成了共线磁体中奇宇称自旋分裂的分波层级结构，并为高部分波类别的反常输运建立了对称标准。
英文摘要
Momentum-dependent nonrelativistic spin splitting provides a symmetry fingerprint of collinear magnets and can govern unconventional electronic, magnonic, and transport phenomena. Whereas even-parity $s$-, $d$-, $g$-, and $i$-wave splittings in collinear magnets have been extensively studied, odd-parity counterparts remain unexplored beyond the $p$-wave and $f$-wave classes. Here, using group theory, we establish the complete classification of odd-parity spin splitting in collinear magnets. We show that, in addition to the $p$-wave and $f$-wave forms, $h$- and $k$-wave splittings with $\ell=5$ and $7$ are allowed, while $m$-wave splitting with $\ell=9$ constitutes the upper bound. We derive a complete mapping from crystallographic point-group irreducible representations to the lowest-order odd-parity basis functions and formulate the coupling rule between a symmetry-breaking axial field and the parent Néel order that selects the induced odd-parity class. We further construct minimal lattice models that realize $h$-, $k$-, and $m$-wave splitting. Guided by this classification, we screen the MAGNDATA database and show that circularly polarized light can drive the $\mathcal{PT}$-symmetric antiferromagnets Fe$_2$TeO$_6$ and MgFe$_6$Ge$_6$ into $h$-wave and $k$-wave phases, respectively, exhibiting the hallmark spin splittings in both electronic bands and magnon spectra. Symmetry analysis and Berry-curvature calculations show that collinear odd-parity magnets of both $h$- and $k$-wave allow an anomalous Hall response, whereas the $m$-wave class forbids it. Together, these results complete the partial-wave hierarchy of odd-parity spin splitting in collinear magnets and establish symmetry criteria for anomalous transport in the high-partial-wave classes.
Comments9 pages, 4 figures, and 2 tables
