Tunable topological magnon-polaron states and anomalous Hall phenomena in two-dimensional ferromagnetic insulators

Abstract

We study magnon-polaron hybrid states, mediated by Dzyaloshinskii-Moriya and magnetoelastic interactions, in a two-dimensional ferromagnetic insulator. The magnetic system consists of both in-plane and flexural acoustic and optical phonon bands, as well as acoustic and optical magnon bands. Through manipulation of the ground-state magnetization direction using a magnetic field, we demonstrate the tunability of Chern numbers and (spin) Berry curvatures of magnon-polaron hybrid bands. This adjustment subsequently modifies two anomalous Hall responses of the system, namely, thermal Hall and spin Nernset signals. Notably, we find that by changing the magnetic field direction in particular directions, it is possible to completely suppress the thermal Hall signal while maintaining a finite spin Nernst signal. Our finding reveals the intricate interplay between topological and quantum geometrical phenomena and magnetic ordering, offering compelling avenues for on-demand control over emergent quantum states in condensed matter systems.

9 pages + Appendices, 9 figures

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• Topological magnon gap engineering in van der Waals CrI${}_3$ ferromagnets
• Hybridized magnonic materials for THz frequency applications
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Magnon dispersion and spin transport in CrCl${}_3$ bilayers under different strain-induced magnetic states
• Chiral magnon-polaron edge states in Heisenberg-Kitaev magnets
• Topological magnon-polaron transport in a bilayer van der Waals magnet
• Spin-dependent quasiparticle lifetimes in altermagnets
• Electric polarization induced by magnons and magnon Nernst effects
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Chiral Phonons Arising From Chirality-Selective Magnon-Phonon Coupling