Attraction, Merger, Reflection, and Annihilation in Magnetic Droplet Soliton Scattering

Abstract

The interaction behavior of solitons are defining characteristics of these nonlinear, coherent structures. Due to recent experimental observations, thin ferromagnetic films offer a promising medium in which to study the scattering properties of two-dimensional magnetic droplet solitons, particle-like, precessing dipoles. Here, a rich set of two-droplet interaction behaviors are classified through micromagnetic simulations. Repulsive and attractive interaction dynamics are generically determined by the relative phase and speeds of the two droplets and can be classified into four types: (1) merger into a breather bound state, (2) counterpropagation trapped along the axis of symmetry, (3) reflection, and (4) violent droplet annihilation into spin wave radiation and a breather. Utilizing a nonlinear method of images, it is demonstrated that these dynamics describe repulsive/attractive scattering of a single droplet off of a magnetic boundary with pinned/free spin boundary conditions, respectively. These results explain the mechanism by which propagating and stationary droplets can be stabilized in a confined ferromagnet.

5 pages, 3 figures

References in corpus (7)

• Current-driven resonant excitation of magnetic vortex
• Rotating vortex dipoles in ferromagnets
• Confined dissipative droplet solitons in spin-valve nanowires with perpendicular magnetic anisotropy
• Propagation and control of nano-scale, magnetic droplet solitons
• Propagating two-dimensional magnetic droplets
• Analytical theory of modulated magnetic solitons
• Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation

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• Effects of thermal perturbations on magnetic dissipative droplet solitons
• Stable high-dimensional weak-light soliton molecules and their active control
• Magnetic Droplet Solitons
• Perturbation Theory for Propagating Magnetic Droplet Solitons
• Effective Generation of Closed-form Soliton Solutions of the Continuous Classical Heisenberg Ferromagnet Equation
• Freezing and thawing magnetic droplet solitons
• Effect of temperature on spin-transfer torque induced magnetic solitons
• Generation and stability of dynamical skyrmions and droplet solitons
• Tuning the dynamics of magnetic droplet solitons using dipolar interactions
• Transverse instabilities of stripe domains in magnetic thin films with perpendicular magnetic anisotropy