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We analyze the dynamics of a domain wall in an easy-axis antiferromagnetdriven by circularly polarized magnons. Magnons pass through a stationarydomain wall without reflection and thus exert no force on it. However, theyreverse their spin upon transmission, thereby transferring two quanta ofangular momentum to the domain wall and causing it to precess. A precessingdomain wall partially reflects magnons back to the source. The reflection ofspin waves creates a previously identified reactive force. We point out asecond mechanism of propulsion, which we term redshift: magnons passing througha precessing domain wall lower their frequency by twice the angular velocity ofthe domain wall; the concomitant reduction of magnons' linear momentumindicates momentum transfer to the domain wall. We solve the equations ofmotion for spin waves in the background of a uniformly precessing domain wallwith the aid of supersymmetric quantum mechanics and compute the net force andtorque applied by magnons to the domain wall. Redshift is the dominantmechanism of propulsion at low spin-wave intensities; reflection dominates athigher intensities. We derive a set of coupled algebraic equations to determinethe linear velocity and angular frequency of the domain wall in a steady state.The theory agrees well with numerical micromagnetic simulations.

Propulsion of a domain wall in an antiferromagnet by magnons