Twisted magnons (TMs) carrying orbital angular momentum (OAM) have attracted growing interest from the magnonic community. The fabrication of such a novel magnon state, however, is still challenging. Here we present a simple method to generate TMs with arbitrary radial and azimuthal quantum numbers through the spin-to-orbital angular momentum conversion. The conversion rate from plane-wave magnons to twisted ones is shown to be insensitive to the quantum index. The spectrum of TMs in thin nanodisks is solved analytically, showing good agreement with micromagnetic simulations. Moreover, we numerically study the propagation of TMs in magnetic nanodisk arrays and obtain the quantitative dependence of the decay length on quantum indices. Our results are helpful for realizing TMs with large OAMs that are indispensable for future high-capacity magnonic communication and computing.

• Received 10 March 2022
• Revised 23 April 2022
• Accepted 13 May 2022

DOI:https://doi.org/10.1103/PhysRevB.105.174433