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We study the nontrivial linear magnon band crossings in the collinearantiferromagnets on the two-dimensional (2D) CaVO lattice, also realized insome iron-based superconductors such as AFe$_{1.6+x}$Se$_2$ (A = K, Rb, Cs). Itis shown that the combination of space-inversion and time-reversal symmetry($\mathcal{PT}$-symmetry) leads to doubly-degenerate eight magnon branches,which cross each other linearly along a one-dimensional loop in the 2DBrillouin zone. We show that the Dirac nodal loops (DNLs) are not present inthe collinear ferromagnet on this lattice. Thus, the current 2Dantiferromagnetic DNLs are symmetry-protected and they provide a novel platformto search for their analogs in 2D electronic antiferromagnetic systems.

Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets