Small-amplitude mobile solitons in the two-dimensional ferromagnet

Иванов, Б. А.; Zaspel, C. E.; Yastremsky, I. A.

doi:10.1103/physrevb.63.134413

Cited by 13 publications

(29 citation statements)

References 21 publications

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“…Future developments of the modulation theory itself could be performed in the context of a different family of magnetic droplet solutions. One example is the weakly nonlinear droplet Ivanov et al [2001]. Recent micromagnetic simulations have found rotating and precessing localized waves in NC-STOs with non-trivial magnetostatic contributions Finocchio et al [2013].…”

Section: Resultsmentioning

confidence: 99%

“…Approximate droplet solutions have been found in two regimes: (i) 0 < 1 − ω − |V| 2 /4 1, near the linear (spin-wave) band edge corresponding to propagating, weakly nonlinear droplets approximated by the NLS Townes soliton Ivanov et al [2001] (ii) 0 < ω 1 with zero velocity corresponding to stationary, strongly nonlinear droplets approximated by a circular domain wall Kosevich et al [1986], Ivanov and Stephanovich [1989]. We will focus here on large amplitude propagating solitons where the magnetization is nearly reversed because experiments operate in this regime.…”

Section: Approximate Propagating Dropletmentioning

confidence: 99%

See 1 more Smart Citation

Perturbation theory for propagating magnetic droplet solitons

Bookman

Hoefer

2015

Proc. R. Soc. A.

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Droplet solitons are strongly nonlinear, inherently dynamic structures 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 used to develop an analytical framework for investigating the impact of additional physical effects on the behaviour 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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Section: Resultsmentioning

confidence: 99%

Section: Approximate Propagating Dropletmentioning

confidence: 99%

Perturbation theory for propagating magnetic droplet solitons

Bookman

Hoefer

2015

Proc. R. Soc. A.

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“…Prior numerical computations suggested that the conservative, stationary droplet could be generalized to a propagating solution 14 . Small amplitude droplets were then shown to propagate as approximate, Nonlinear Schrödinger bright solitons in [15]. The construction and properties of a stable, two-parameter family of large amplitude propagating droplet solutions in a lossless medium was undertaken in [16].…”

Section: Introductionmentioning

confidence: 99%

Propagation and control of nanoscale magnetic-droplet solitons

2012

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The propagation and controlled manipulation of strongly nonlinear, two-dimensional solitonic states in a thin, anisotropic ferromagnet are theoretically demonstrated. It has been recently proposed that spin-polarized currents in a nanocontact device could be used to nucleate a stationary dissipative droplet soliton. Here, an external magnetic field is introduced to accelerate and control the propagation of the soliton in a lossy medium. Soliton perturbation theory corroborated by two-dimensional micromagnetic simulations predicts several intriguing physical effects, including the acceleration of a stationary soliton by a magnetic field gradient, the stabilization of a stationary droplet by a uniform control field in the absence of spin torque, and the ability to control the soliton's speed by use of a time-varying, spatially uniform external field. Soliton propagation distances approach 10 µm in low loss media, suggesting that droplet solitons could be viable information carriers in future spintronic applications, analogous to optical solitons in fiber optic communications.

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“…Explicit expressions for the energy E (1D) , the spin density N (1D) and the momentum P (1D) , as functions of V and ω, for a single moving droplet solution, can be obtained from solution (43) via Eqs. (11), (12) and (13):…”

Section: D Dropletmentioning

confidence: 99%

“…similar to the existence conditions for moving 1D droplets [7,12]. The droplet's structure is studied analytically in the large amplitude, small speed regime and in the weakly nonlinear regime following [11]. A nonlinear dispersion relation for a background spin wave which modulates the propagating droplet naturally arises.…”

Section: Introductionmentioning

confidence: 97%

Propagating two-dimensional magnetic droplets

Hoefer

Sommacal

2012

Physica D: Nonlinear Phenomena

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Propagating, solitary magnetic wave solutions of the Landau-Lifshitz equation with uniaxial, easy-axis anisotropy in thin (two-dimensional) magnetic films are investigated. These localized, nontopological wave structures, parametrized by their precessional frequency and propagation speed, extend the stationary, coherently precessing "magnon droplet" to the moving frame, a non-trivial generalization due to the lack of Galilean invariance. Propagating droplets move on a spin wave background with a nonlinear droplet dispersion relation that yields a limited range of allowable droplet speeds and frequencies. An iterative numerical technique is used to compute the propagating droplet's structure and properties. The results agree with previous asymptotic calculations in the weakly nonlinear regime. Furthermore, an analytical criterion for the droplet's orbital stability is confirmed. Time-dependent numerical simulations further verify the propagating droplet's robustness to perturbation when its frequency and speed lie within the allowable range.Comment: 16 pages, 11 figure

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Small-amplitude mobile solitons in the two-dimensional ferromagnet

Cited by 13 publications

References 21 publications

Perturbation theory for propagating magnetic droplet solitons

Perturbation theory for propagating magnetic droplet solitons

Propagation and control of nanoscale magnetic-droplet solitons

Propagating two-dimensional magnetic droplets

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