Controllable magnon frequency comb in synthetic ferrimagnets

Magnon frequency comb provides opportunities for exploring magnon nonlinear effects and measuring the transmission magnon frequency in magnets, whose controllability determines working frequency and measurement accuracy. In this work, we investigate theoretically and numerically the skyrmion-induced magnon frequency comb generated by the interaction between the magnon excitation mode and skyrmion breathing mode in synthetic ferrimagnets. It is revealed that both the skyrmion breathing mode and the magnon frequency gap closely depends on the net angular momentum {\delta}s, emphasizing the pivotal role of {\delta}s as an effective control parameter in governing the comb teeth. With the increase of {\delta}s, the skyrmion size decreases, which results in the enlargement of the breathing frequency and the distance between the comb teeth. Moreover, the magnon frequency gap varies with {\delta}s and the inter-layer coupling, allowing one to modulate the comb lowest coherent frequency through structural control in experiments. The coherent modes generated by the comb could exist from gigahertz to terahertz frequencies, serving as a bridge between microwave and terahertz waves. Thus, this work unveils the controllable magnon frequency comb through tuning {\delta}s and the inter-layer coupling, advancing the comprehension of magnon frequency combs in ferrimagnets.