Magnon scattering and transduction in Coulomb-coupled quantum Hall ferromagnets

Abstract

The magnetization field of a quantum Hall ferromagnet (QHFM) can host a variety of spin textures, including skyrmions and magnons. When projected into the lowest Landau level with $\nu =1$ filling, the topological (Pontryagin) charge density of the magnetization field is proportional to the electric charge density, allowing for long-range spin-spin interactions. Inspired by recent experimental developments that enable all-electrical generation and detection of magnons, in this work we theoretically demonstrate two phenomena that can occur due to Coulomb interactions that are unique to QHFMs: magnons can scatter off of point charges at a distance, and skyrmions can act as transmitters and receivers for magnons to be transduced between separate layers of a bilayer QHFM. The latter Coulomb-mediated spin drag effect occurs at arbitrary distance and could facilitate long-range magnonics, such as detection of spin waves for future experiments in 2D materials.

12 pages, 9 figures

References in corpus (8)

• Skyrmions in Magnetic Multilayers
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Magnon-skyrmion scattering in chiral magnets
• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Visualizing Broken Symmetry and Topological Defects in a Quantum Hall Ferromagnet
• Absorbing boundary layers for spin wave micromagnetics
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Riemann meets Goldstone: magnon scattering off quantum Hall skyrmion crystals probes interplay of symmetry breaking and topology