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arXiv · 2604.08073

Emergence of Lissajous trajectories in skyrmion oscillator

Tamali Mukherjee·V Satya Narayana Murthy
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Abstract

Understanding the dynamics of current-driven skyrmion is essential for their practical applications. In this study, we apply an ac pulse (a) in x-- direction, and (b) in both x-- and y-- directions through the free layer of a Co/Pt thin film and investigate the motion of the skyrmion. We show that the skyrmion follows the sinusoidal current pulse and behaves like an oscillator in the range of current amplitude 1 $\times$ 10$^{11}$ A/m$^2$ to 1 $\times$ 10$^{12}$ A/m$^2$ and frequency 5 $\times$ 10$^{8}$ rad/s to 1 $\times$ 10$^{10}$ rad/s. For current pulse of (A$_1$sin$\omega_1$t, A$_2$sin($\omega_2$t+$\phi$), 0), the skyrmion forms Lissajous figures in the x-y plane, same as observed in classical mechanics. The results are compared at T = 0 K and T $>$ 0 K to analyze the effect of temperature. As the skyrmion Hall angle ($\theta_{SkH}$) and stochastic thermal fluctuation ($\bm{F}^{Th}$) are functions of temperature, the skyrmion starts deviating from its path at T = 0 K with increasing temperature and eventually generates somewhat deformed Lissajous figures from ideal.

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Tamali Mukherjee, V Satya Narayana Murthy. 2026-04-09. Emergence of Lissajous trajectories in skyrmion oscillator. https://doi.org/10.1088/1361-6463/ae9f6d

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