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Two noncentrosymmetric ternary pnictides, CaAgP and CaAgAs, are reported astopological line-node semimetals protected solely by mirror-reflectionsymmetry. The band gap vanishes on a circle in momentum space, and surfacestates emerge within the circle. Extending this study to spin-orbit coupledsystems reveals that, compared with CaAgP, a substantial band gap is induced inCaAgAs by large spin-orbit interaction. The resulting states are a topologicalinsulator, in which the Z2 topological invariant is given by 1; 000. To clarifythe Z2 topological invariants for time-reversal-invariant systems withoutspatial-inversion symmetry, we introduce an alternative way to calculate theinvariants characterizing a line node and topological insulator formirror-reflection-invariant systems.

Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)