A variety of nontrivial spin textures can appear on the nanoscale as a result of competing magnetic interactions. A notable example being studied actively at present is the Dzyaloshinskii‐Moriya interaction (DMI), which results from spin-orbit coupling and chiral symmetry breaking in thin films and multilayers [1,2]. The DMI not only confers a preferred handedness to spin configurations such as domain walls  and skyrmions , but it also influences how excitations like spin waves propagate within a material.
I will describe some recent theoretical work on how the DMI influences dynamical magnetization processes in ultrathin films. In particular, I will discuss how nonreciprocity and focusing effects can occur for spin waves in continuous films  and within chiral domain walls . I will also present novel features involving skyrmion and antiskyrmion dynamics , where pair generation processes result in excess skyrmion charges. Such systems represent an interesting playground in which we can probe how matter/antimatter asymmetry arises between topological magnetic charges.
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