Magnon scattering and transduction in Coulomb-coupled quantum Hall ferromagnets

A quantum Hall ferromagnet (QHFM) in the lowest Landau level with ν = 1 filling can host spin textures including skyrmions and magnons. Spin and electric charge are entangled in this environment, giving spin textures unique electrodynamic properties. Magnons carry an electric dipole moment, and skyrmions carry a localized charge distribution, allowing for unique long-range interactions. Inspired by recent experimental developments that enable all-electrical magnon generation and detection [1], in this work we use numerical methods to simulate the dynamics of spin textures and use quantum scattering techniques to analyze magnon properties in the presence of external electric fields. We find that two novel phenomena exist in this environment: magnons can scatter off of point charges at a distance, and skyrmions can act as media for magnons to be transduced between separate layers of a bilayer QHFM. We quantify the strength of this transduction in our simulations under various conditions to show that the effect exists at arbitrary skyrmion/layer separation, falling off with inverse distance. This effect could enable long-range magnonics, such as facilitating detection of spin waves at arbitrary distance for future experiments in magnonics in 2D materials.

[1] D. S. Wei, T. van der Sar, S. H. Lee, K. Watanabe, T. Taniguchi, B. I. Halperin, and A. Yacoby, Science 362, 229 (2018).