Signatures of a liquid-crystal transition in spin-wave excitations of skyrmions

Abstract

Understanding the spin-wave excitations of chiral magnetic order, such as the skyrmion crystal (SkX), is of fundamental interest to confirm such exotic magnetic order. The SkX is realized by competing Dzyaloshinskii-Moriya and ferromagnetic-exchange interactions with a magnetic field or anisotropy. Here we compute the dynamical spin structure factor, using Monte Carlo and spin dynamics simulations, extracting the spin-wave spectrum in the SkX, in the vicinity of the paramagnet to SkX transition. Inside the SkX, we find six spin-wave modes, which are supplemented by another mode originating from the ferromagnetic background. Above the critical temperature $T_s$ for the skyrmion crystallization, we find a diffusive regime, reminiscent of the liquid-to-crystal transition, revealing that topological spin texture of skyrmionic character starts to develop above $T_s$ as the precursor of the SkX. We discuss the opportunities for the detection of the spin waves of the SkX using inelastic-neutron-scattering experiments in manganite-iridate heterostructures.

11 pages, 7 figures

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• Interfacial phase frustration stabilizes unconventional skyrmion crystals
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Robustness of topological magnons in disordered arrays of skyrmions
• A High-Performance Implementation of Atomistic Spin Dynamics Simulations on x86 CPUs
• Anomalous magnetoentropic response of skrymion crystals
• Goldstone mode of Skyrmion Crystal
• Controlling Skyrmion Lattice Orientation with Local Magnetic Field Gradients
• Diffusionless relaxation of half-skyrmion liquid, hexatic, and crystalline states in a chiral molecular crystal