Theory of skyrmion, meron, anti-skyrmion and anti-meron in chiral magnets

Abstract

We find closed-form solution of the Euler equation for a chiral magnet in terms of a skyrmion or a meron depending on the relative strengths of magnetic anisotropy and magnetic field. We show that the relevant length scales for these solutions primarily depend on the strengths of Dzyaloshinskii-Moriya interaction through its ratios, respectively, with magnetic field and magnetic anisotropy. We thus unambiguously determine the parameter dependencies on the radius of the topological structures particularly of the skyrmions, showing an excellent agreement with experiments and first-principle studies. An anisotropic Dzyaloshinskii-Moriya interaction suitable for thin films made with $C_{nv}$ symmetric materials is found to stabilize anti-skyrmion and anti-meron, which are prototypical for $D_{2d}$ symmetric systems, depending on the degree of anisotropy. Based on these solutions, we obtain phase diagram by comparing the energies of various collinear and non-collinear competing phases.

arXiv comment8 pages, 8 figures

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Cited by in corpus (14)

• Square skyrmion crystal in centrosymmetric itinerant magnets
• Topological metasurface: From passive toward active and beyond
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Microscopic Origin of the Electric Dzyaloshinskii-Moriya Interaction
• Dynamics of interacting skyrmions in magnetic nano-track
• The anti-symmetric and anisotropic symmetric exchange interactions between electric dipoles in hafnia
• An Atomically Tailored Chiral Magnet with Small Skyrmions at Room Temperature
• Skyrmions at Vanishingly Small Dzyaloshinskii-Moriya Interaction or Zero Magnetic Field
• Length-scale independent skyrmion and meron Hall angles
• Multi-Meron Interactions and Statistics in Two-Dimensional Materials
• Role of isotropic and anisotropic Dzyaloshinskii-Moriya interaction on skyrmions, merons and antiskyrmions in the $C_{nv}$ symmetric system
• Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice
• Theory of Polar Skyrmions in Layered Structure of Ferroelectric Perovskites