Nonlinear dynamics of topological helicity wave in a frustrated skyrmion string

Abstract

A skyrmion in frustrated magnetic system has the helicity degree of freedom. A skyrmion string is formed in a frustrated layered system, which is well described by the $XY$ model owing to the exchange coupling between adjacent layers. We consider a system where the interlayer exchange couplings are alternating, where the dimerized $XY$ model is materialized, whose linear limit is the Su-Schrieffer-Heeger model. We argue that it is a nonlinear topological system. We study the quench dynamics of the helicity wave under the initial condition that the helicity of the skyrmion in the bottommost layer is rotated. It yields a good signal to detect whether the system is topological or trivial. Our results show that the helicity dynamics of the skyrmion string have a rich physics in the modulated exchange-coupled system.

7 pages, 6 figures

References in corpus (17)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
• Nonlinearity-induced photonic topological insulator
• Skyrmion knots in frustrated magnets
• Optical isolation with nonlinear topological photonics
• Direct visualization of three-dimensional shape of skyrmion strings in a noncentrosymmetric magnet
• Current-induced viscoelastic topological unwinding of metastable skyrmion strings
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Topology in non-linear mechanical systems
• Field-driven metamorphoses of isolated skyrmions within the conical state of cubic helimagnets
• Configurable pixelated skyrmions on nanoscale magnetic grids
• Topological Toda lattice and nonlinear bulk-edge correspondence
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Dynamic transformation between a skyrmion string and a bimeron string in a layered frustrated system
• Phase transition in frustrated thin films -- physics at phase boundaries
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems