点反射
反射对称性
几何相位
反演(地质)
对称(几何)
物理
量子力学
凝聚态物理
数学
几何学
地质学
构造盆地
古生物学
作者
Ching‐Kai Chiu,Yang‐Hao Chan,Andreas P. Schnyder
出处
期刊:Cornell University - arXiv
日期:2018-01-01
被引量:9
标识
DOI:10.48550/arxiv.1810.04094
摘要
As reflection symmetry or space-time inversion symmetry is preserved, with a non-contractible integral loop respecting the symmetry in the Brilliouin zone, Berry phase is quantized in proper basis. Topological nodal lines can be enclosed in the integral loop and $π$-Berry phase topologically protects the nodal lines. In this work, we show that to have quantized Berry phase restricted by the symmetry in any crystal structure, we choose to use the cell-periodic convention and define the origin point in the real space at one of the reflection (inversion) centers. In addition, $π$-Berry phase is not the sufficient condition leading to the presence of the stable surface states. Their presence crucially depends on the location of the termination and the crystal structure in the unit cell. By using these new conditions we further reexamine if stable surface states exist in the known topological nodal line materials stemming from reflection symmetry or space-time inversion symmetry.
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