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arXiv 2401.16705cond-mat.mtrl-sci
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二维材料的层群分类

Layer group classification of two-dimensional materials

Jingheng Fu, Mikael Kuisma, Ask Hjorth Larsen, Kohei Shinohara, Atsushi Togo, Kristian S. Thygesen

AI总结:

本文提出一种确定二维晶格三维结构层群类型的算法,应用于C2DB数据库中超过15,000种单层结构,发现18%的单层结构因空间群无法区分面内外轴而被错误分类,凸显了层群分类的必要性。

摘要:

具有三维(3D)晶格的晶体结构的对称性可以通过230种空间群类型之一进行分类。对于某些类型的晶体,例如晶体薄膜、表面或平面界面,假设其为二维(2D)晶格更为合适。基于这一假设,该结构可以通过80种层群类型之一进行分类。我们实现了一种算法,用于确定具有2D晶格的3D结构的层群类型,并将其应用于Computational 2D Materials (C2DB)数据库中的超过15,000种单层结构。我们分别比较了通过层群和空间群对单层结构的分类。后者被定义为通过在垂直于2D晶格的方向上周期性重复单层(AA堆叠)所获得的3D体相结构的空间群。由于空间群无法区分面内轴和面外轴,通过这种对应关系,有九对层群类型被映射到同一种空间群类型。C2DB中总共有18%的单层结构属于这些层群对之一,因此未能被空间群类型正确分类。

英文摘要:

The symmetry of a crystal structure with a three-dimensional (3D) lattice can be classified by one of the 230 space group types. For some types of crystals, e.g. crystalline films, surfaces, or planar interfaces, it is more appropriate to assume a 2D lattice. With this assumption, the structure can be classified by one of the 80 layer group types. We have implemented an algorithm to determine the layer group type of a 3D structure with a 2D lattice, and applied it to more than 15,000 monolayer structures in the Computational 2D Materials (C2DB) database. We compare the classification of monolayers by layer groups and space groups, respectively. The latter is defined as the space group of the 3D bulk structure obtained by repeating the monolayer periodically in the direction perpendicular to the 2D lattice (AA-stacking). By this correspondence, nine pairs of layer group types are mapped to the same space group type due to the inability of the space group to distinguish the in-plane and out-of-plane axes. In total 18% of the monolayers in the C2DB belong to one of these layer group pairs and are thus not properly classified by the space group type.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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