Mirror Protected Multiple Nodal Line Semimetals and Material Realization

Abstract

The conventional k.p 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 new and 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 eleven inequivalent nodal line Fermi surfaces together with their related constraints. By means of first-principles calculations, we first propose a family of real materials, beta phase of ternary nitrides X2GeN2 (X = Ca; Sr; Ba), that support one kind of these novel Fermi surfaces. Therefore, our work deepens the understanding of the nodal line structures and promotes the experimental progress of topological nodal line semimetals.

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Cited by in corpus (9)

• Nodal Line Spin-gapless Semimetals and High-quality Candidate Materials
• Systematic investigation of emergent particles in type-III magnetic space groups
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Double Dirac Nodal Line Semimetal with Torus Surface State
• Double Andreev reflections and double normal reflections in nodal-line semimetal-superconductor junctions
• Abundant surface-semimetal phases in three-dimensional obstructed atomic insulators
• Weyl Nodal Line-Surface Half-metal in CaFeO${}_3$
• Observation of a flat and extended surface state in a topological semimetal
• Interlocking nodal chains and their examples in carbon networks