AI 中文总结
本文提出反自旋劳厄群，完成了共线动量空间自旋极化的非相对论非常规磁体分类，开发了最小四带模型构建算法，实现了奇偶宇称非常规磁体的统一对称性描述。
AI 中文摘要
反顺磁体具有奇宇称非相对论自旋劈裂，但与偶宇称顺磁体不同，其动量空间对称性缺乏类似自旋劳厄群的简化分类。本文引入反自旋劳厄群，将其分为三类，确定了21个描述这类非常规材料奇宇称分波特性的群。结合顺磁体的10个自旋劳厄群，完成了具有共线动量空间自旋极化的非相对论非常规磁体的分类。反自旋劳厄群通过仅保留自旋空间（点）群对共线动量空间自旋极化的作用，实现了自旋空间群的多对一简化，直接编码对称性强制的节点自旋劈裂特性。基于此，本文开发了系统的模型构建算法，生成了面向材料的最小四带模型，该框架将奇、偶宇称非常规磁体置于统一的动量空间对称性描述中，实现了平等处理。
英文摘要
Anti-altermagnets exhibit odd-parity nonrelativistic spin splitting, yet unlike even-parity altermagnets, their momentum-space symmetries lack a reduced classification analogous to spin Laue groups. Here, we introduce anti-spin Laue groups, organized into three distinct classes, and identify 21 groups describing the odd-parity partial wave character of this unconventional class. Together with the 10 spin Laue groups of altermagnets, they complete the classification of nonrelativistic unconventional magnets with collinear momentum-space spin polarization. Anti-spin Laue groups also provide a many-to-one reduction of spin space (point) groups by retaining only their action on the collinear momentum-space spin polarization, thereby directly encoding the symmetry-enforced nodal spin-splitting character. Based on this we develop a systematic model-construction algorithm yielding minimal, material-oriented four-band models. This framework places odd- and even-parity unconventional magnets on equal footing within a unified momentum-space symmetry description.
Comments8 pages, 4 figures
