2018/04/19 by Da-Shuai Ma, Da‐Shuai Ma, Jianhui Zhou +6 · 32 citations
Materials Science · Mathematics · Physics and Astronomy · #Biology #Computer science #Geology #Geometry #Line (geometry) #Mathematics #Metamaterials and Metasurfaces Applications #NODAL #Optics #Photonic Crystals and Applications #Physics #Realization (probability) #Topological Materials and Phenomena #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.98.201104
published in Physical review. B./Physical review. B 98(20) (American Physical Society)
arxiv created 2018/04/19 · openalex publication_date 2018/11/09 · arxiv updated 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The conventional \mathbitk\ifmmode⋅\else\textperiodcentered\fi\mathbitp method fails to capture the full and essential physics of many symmetry enriched multiple nodal line structures in the three-dimensional Brillouin zone. Here, we present a systematical method to construct the effective lattice model of mirror symmetry protected three-dimensional multiple nodal line semimetals, when the spin-orbit interaction is ignored. For systems with a given pair of perpendicular nodal rings, we obtain all the effective lattice models and 11 inequivalent nodal line Fermi surfaces together with their related constraints. By means of first-principles calculations, we first propose a family of real materials, the \ensuremathβ phase of ternary nitrides X2GeN2 (X=Ca,Sr,Ba), that support one kind of these Fermi surfaces. Therefore, our work deepens the understanding of the nodal line structures and promotes the experimental progress of topological nodal line semimetals.