Hopfions, associated with higher-dimensional topology through the Hopf fibration, exhibit exotic features like complex knots and improved stability compared to skyrmions, enhancing their appeal for innovative applications. In this paper, we study the nonlinear response of magnetic hopfion to microwave fields. We observe the emergence of higher-order harmonics of the driving microwave field as it interacts with the hopfion. By carefully selecting the driving frequency, the corresponding harmonic can efficiently excite the localized magnon state of a hopfion. Our results demonstrate the promising potential of hopfions in nonlinear magnonics.

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• Magnetic texture
• Magnetization dynamics
• Magnonics
• Spin dynamics
• Spin waves
• Topological phases of matter
• Solitons
• Microwave techniques