发表机构
Rutgers University; Addis Ababa Science and Technology University; Università di Cagliari; University of Texas at Austin; Soongsil University; Universidad Andres Bello（罗格斯大学; 亚的斯亚贝巴科学与技术大学; 卡利亚里大学; 德克萨斯大学奥斯汀分校; 崇实大学; 安德烈斯贝略大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究开发了开源Python工具AlterSeeK-Path，系统构建共线反常磁体的广义能带结构路径，可展示常规路径掩盖的自旋分裂，且构建工作量与常规方法相当，适用于三维和二维多种晶格情况。
AI 中文摘要
反常磁材料的电子能带结构中存在自旋分裂，但净磁化强度为零。然而，常规高对称k路径通常会掩盖这种分裂，因为它们遵循的对称线在大多数情况下会强制自旋简并。我们提出了AlterSeeK-Path，这是一个开源Python工具，用于系统构建共线反常磁体的广义能带结构路径。该方法选择常规不可约楔体的质心（用于常规能带结构计算）作为代表性通用k点，将其映射到与自旋翻转相关的配对点，并通过这些点将配对段插入标准高对称路径中；这些配对段系统地采样不可约楔体的内部区域。我们针对支持共线反常磁性的6个晶系中，扩展布拉维晶格类型与自旋劳厄群的全部54种三维组合，以及兼容的4种二维布拉维晶格所涵盖的12种二维情况，演示了该路径的构建过程。针对不同的晶格/路径情况展示了代表性能带结构。借助AlterSeeK-Path，构建这些能带结构所需的工作量与常规能带结构基本相同。
英文摘要
Altermagnetic materials exhibit spin splitting in their electronic band structures while maintaining zero net magnetization. However, conventional high-symmetry k-paths generally hide this splitting because they follow symmetry lines that in most cases enforce spin degeneracy. We present AlterSeeK-Path, an open-source Python tool that systematically constructs generalized band-structure paths for collinear altermagnets. The method selects the centroid of the conventional irreducible wedge used in routine band-structure calculations as the representative general k-point, maps it to a spin-flip-related partner, and inserts paired segments through these points into the standard high-symmetry path; these segments systematically sample the interior of the irreducible wedge. We demonstrate the construction for all 54 three-dimensional combinations of extended Bravais lattice type and spin Laue group across the six crystal systems that support collinear altermagnetism, and for the 12 two-dimensional cases spanning the four compatible two-dimensional Bravais lattices. Representative band structures are shown for the distinct lattice/path cases. With AlterSeeK-Path, these band structures can be constructed with essentially the same effort as conventional band structures.
