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Helical edge states in topological insulators give counterpropagating spincurrent on the two parallel edges. We here propose anti-helical edge states ofmagnons in patterned antiferromagnetic thin films, which host copropagatingspin current on the two parallel edges, where the two magnon modes withopposite chirality act like the spin. The embedded heavy metal dot array in thethin film induces interfacial Dzyaloshinskii-Moriya interactions (iDMIs),drives the magnon bands into nontrivial topological phases, characterized byspin Chern number. The resulting helical edge modes lead to spin current withthe direction dependent on the sign of iDMI parameter. In a strip geometry, wecombine two subsystems with two embedded metal dot arrays, which give oppositeiDMI parameters. Anti-helical edge states emerge, compensated by thecounterpropagating bulk confined states. Helical and anti-helical edge statesare verified by the micromagnetic simulations. Our work is quite helpful in thefield of magnon spintronics based on antiferromagnets.

Anti-helical edge magnons in patterned antiferromagnetic thin film