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The interfacial Dzyaloshinskii-Moriya Interaction can modify the topology ofdroplets excited by a localized spin-polarized current. Here, we show that, inaddition to the stationary droplet excitations with skyrmion number either one(topological) or zero (non-topological), there exists, for a fixed current, anexcited mode with a non-stationary time behavior. We call this mode "instantondroplet", which is characterized by time domain transitions of the skyrmionnumber. These transitions are coupled to an emission of incoherent spin-wavesthat can be observed in the frequency domain as a source of noise. Our resultsare interesting from a fundamental point of view to study spin-wave emissionsdue to a topological transition in current-driven systems, and could open theroute for experiments based on magnetoresistance effect for the design of afurther generation of nanoscale microwave oscillators.

Topological, non topological and instanton droplets driven by  spin-transfer torque in materials with perpendicular magnetic anisotropy and  Dzyaloshinskii-Moriya Interaction