Nonlinear dynamics of topological ferromagnetic textures for frequency multiplication
Davi R. Rodrigues, Jonas Nothhelfer, Morteza Mohseni, Ross Knapman,, Philipp Pirro, and Karin Everschor-Sitte

TL;DR
This paper demonstrates that topological magnetic structures can serve as nanoscale frequency multipliers in spintronic systems by exploiting their nonlinear dynamics and internal modes, enabling efficient frequency conversion.
Contribution
It introduces the concept of using topological magnetic textures as in-materio frequency multipliers through nonlinear excitation of their eigenmodes.
Findings
Micromagnetic simulations show efficient excitation of higher amplitude modes by fractional frequencies.
Frequency multiplication is predicted to be a general phenomenon applicable to various magnetic textures.
Low-frequency perturbations can induce high-frequency responses in topological magnetic structures.
Abstract
We propose that the non-linear radio-frequency dynamics and nanoscale size of topological magnetic structures associated to their well-defined internal modes advocate for their use as in-materio scalable frequency multipliers for spintronic systems. Frequency multipliers allow for frequency conversion between input and output frequencies, and thereby significantly increase the range of controllably accessible frequencies. In particular, we explore the excitation of eigenmodes of topological magnetic textures by fractions of the corresponding eigenfrequencies. We show via micromagnetic simulations that low-frequency perturbations to the system can efficiently excite bounded modes with a higher amplitude. For example, we excited the eigenmodes of isolated ferromagnetic skyrmions by applying half, a third and a quarter of the corresponding eigenfrequency. We predict that the frequency…
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