Perturbation Theory for Propagating Magnetic Droplet Solitons
arXiv:1501.05276 · doi:10.1098/rspa.2015.0042
Abstract
Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong perpendicular anisotropy). Large droplet solitons have the approximate form of a circular domain wall sustained by precession and, in contrast to single magnetic vortices, are predicted to propagate in an extended, homogeneous magnetic medium. In this work, multiscale perturbation theory is utilized to develop an analytical framework for investigating the impact of additional physical effects on the behavior of a propagating droplet. After first developing soliton perturbation theory in the general context of Hamiltonian systems, a number of physical phenomena of current interest are investigated. These include droplet-droplet and droplet-boundary interactions, spatial magnetic field inhomogeneities, spin transfer torque induced forcing in a nanocontact device, and damping. Their combined effects demonstrate the fundamental mechanisms for a previously observed droplet drift instability and under what conditions a slowly propagating droplet can be supported by the nanocontact, important considerations for applications. This framework emphasizes the particle-like dynamics of the droplet, providing analytically tractable and practical predictions for modern experimental configurations.
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Cited by in corpus (13)
- Skyrmion dynamics in chiral ferromagnets
- Effects of thermal perturbations on magnetic dissipative droplet solitons
- Magnetic Droplet Soliton Nucleation in Oblique Fields
- Domain walls in fractional media
- Effective Generation of Closed-form Soliton Solutions of the Continuous Classical Heisenberg Ferromagnet Equation
- Effect of temperature on spin-transfer torque induced magnetic solitons
- Designing Magnetic Droplet Soliton Nucleation Employing Spin Polarizer
- Chiral excitations of magnetic droplet solitons driven by their own inertia
- Propagating magnetic droplet solitons as moveable nanoscale spin-wave sources with tunable direction of emission
- Stochastic ejection of nanocontact droplet solitons via drift instability
- Tuning the dynamics of magnetic droplet solitons using dipolar interactions
- Thermal Activation Barriers for Creation and Annihilation of Magnetic Droplet Solitons in the Presence of Spin Transfer Torque
- Transverse instabilities of stripe domains in magnetic thin films with perpendicular magnetic anisotropy