Interacting topological Dirac magnons

Abstract

In this work, we study the magnon-magnon interaction effect in typical honeycomb ferromagnets consisting of van der Waals-bonded stacks of honeycomb layers, e.g., chromium trihalides CrX3 (X = F, Cl, Br, and I), that display two spin-wave modes (Dirac magnon). Using Green's function formalism with the presence of the Dzyaloshinskii-Moriya interaction, we obtain a spinor Dyson equation up to the second-order approximation by the cluster expansion method. Numerical calculations show prominent renormalizations of the single-particle spectrum. Furthermore, we propose a tunable renormalization effect using a parametric magnon amplification scheme. By amplifying the magnon population at different k points, the enabled renormalization effect not only reshapes the band structure but also modifies the Berry curvature distribution. Our work demonstrates the interplay between band geometry, interactions, and the external light field in the bosonic system and can potentially lead to new insights into the properties of magnon-based spintronic devices.

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Cited by in corpus (11)

• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Magnon-magnon interaction in monolayer MnBi${}_2$Te${}_4$
• Thermal Hall Effect of Magnons from Many-Body Skew Scattering
• Interaction-induced nonlinear magnon transport in noncentrosymmetric magnets
• Magnetic Order and Magneto-Elasticity in the Electronic Excitations of Gd-$i$-MAX
• Topological phases of electrons induced by electron-magnon interactions
• Finite-temperature topological magnons in honeycomb ferromagnets with sublattice asymmetries
• Spin wave interactions in the pyrochlore Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Transport of Dirac magnons driven by gauge fields