Identifying nonlinear interactions among magnons is crucial for advancing the field of magnonics and developing next-generation spintronic devices. In this work, we report the experimental observation of nonlinear magnon mode hopping and hysteretic behavior in a synthetic antiferromagnet (SAF). Under strong radio-frequency excitation, the magnon system exhibits abrupt transitions between acoustic and optic modes, accompanied by GHz-scale frequency jumps—orders of magnitude larger than previously reported in magnon-based hybrid systems. We further show that this mode hopping is hysteretic, reflecting multistable nonlinear dynamics, and support these findings through theory and micromagnetic simulations. These results establish a new regime of nonlinear magnon dynamics, going beyond previously reported strong-coupling effects, and highlight the potential of SAFs as platforms for magnon-based frequency converters and switches for information processing. Non-linearity leads to remarkably rich physics across a wide variety of length and energy. Here, You and coauthors study the non-linear behaviour of a magnonic system, specifically a synthetic antiferromagnet, where they observe hysteretic mode hopping between the optical and acoustic magnon branches.
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