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Magnetic field induced multiple non-Dirac nodal-lines are found to emerge inthe triplet dispersion bands of a frustrated spin-1/2 antiferromagnetic modelon the CaVO lattice. Plaquette and bond operator formalisms have been employedto obtain the triplet plaquette and bond excitations for two differentparameter regimes in the presence of nearest and next-nearest-neighborHeisenberg interactions based on the plaquette-resonating-valence-bond anddimerized ground states, respectively. In the absence of magnetic field a pairof six-fold degenerate nodal-loops with distinct topological feature is notedin the plaquette excitations. They are found to split into three pairs oftwo-fold degenerate nodal-loops in the presence of magnetic field. In the otherparameter regime, system hosts two-fold degenerate multiple nodal-lines with avariety of shapes in the triplon dispersion bands in the presence of magneticfield. Ground state energy and spin gap have been determined additionally forthe two regimes. Those nodal-lines are expected to be detectable in neutronscattering experiment on the frustrated antiferromagnet, CaV$_4$O$_9$.

Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaV$_4$O$_9$