Nonautonomous helical motion of magnetization in ferromagnetic nanowire driven by spin-polarized current and magnetic field

Zhao, Fei; Li, Z. D.; He, Peng-Bin; Li, Q. Y.; Liu, W. M.

doi:10.1140/epjb/e2011-20299-2

Cited by 4 publications

(10 citation statements)

References 77 publications

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“…1. [53] The above analysis shows that the nonautonomous domain wall solution brings forth the complicated interesting motion under the action of different external field and spin-polarized current with the spatial dependence. In order to clarify this scheme clearly, we project the expression of ℎ [53]…”

Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 85%

“…S L and S T represent the constant longitudinal density along the z axis and the temporal and spatial dependent transverse density. [53] Thus, we can adopt Slonczewski torque [8] 𝑇 STT which generally takes the form of 𝑇 STT = γ𝑚 × (𝑚 × 𝑆), where γ is the gyromagnetic ratio, 𝑚 is the normalized magnetization, i.e., 𝑚 (z,t) = 𝑀 (z,t) /M s , and 𝑆 = S L 𝑒 z + S T (z,t) 𝑚 × 𝑒 z with S L,T = j L,T P / (2d |e|), where the subscript L and T represent the constant longitudinal density along the z axis and the temporal and spatial dependent transverse density which arises from partially fixed reference layer and can induce the free layer procession, respectively. The parameter d is the thickness of the free magnetic layer, and e is the magnitude of electron charge.…”

Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 99%

“…( 24)- (26). [53] When the applied current and external field are increased beyond this critical value, i.e., C > C m , the domain wall always rotates with the easy axis with velocity ∂ φ /∂t and possesses the nonautonomous helical motion. Integrating Eq.…”

Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 99%

“…[52] In ferromagnetic nanowire, this nonautonomous model can be realized by applying the timedependent magnetic field or current to local magnetization. Such nonautonomous motion of magnetization possesses the 117502-2 novel character [53][54][55] which results in the fast domain wall propagation with an optimal field or current pulse.…”

Section: Introductionmentioning

confidence: 99%

“…The easy axis is perpendicular to the nanowire and defined as the z direction. S L and S T represent the constant longitudinal density along the z axis and the temporal and spatial dependent transverse density [53].…”

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confidence: 99%

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Dynamics of magnetization in ferromagnet with spin-transfer torque

Li¹,

He²,

Liu³

2014

Chinese Phys. B

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We review our recent works on dynamics of magnetization in ferromagnet with spin-transfer torque. Driven by constant spin-polarized current, the spin-transfer torque counteracts both the precession driven by the effective field and the Gilbert damping term different from the common understanding. When the spin current exceeds the critical value, the conjunctive action of Gilbert damping and spin-transfer torque leads naturally the novel screw-pitch effect characterized by the temporal oscillation of domain wall velocity and width. Driven by space-and time-dependent spin-polarized current and magnetic field, we expatiate the formation of domain wall velocity in ferromagnetic nanowire. We discuss the properties of dynamic magnetic soliton in uniaxial anisotropic ferromagnetic nanowire driven by spin-transfer torque, and analyze the modulation instability and dark soliton on the spin wave background, which shows the characteristic breather behavior of the soliton as it propagates along the ferromagnetic nanowire. With stronger breather character, we get the novel magnetic rogue wave and clarify its formation mechanism. The generation of magnetic rogue wave mainly arises from the accumulation of energy and magnons toward to its central part. We also observe that the spin-polarized current can control the exchange rate of magnons between the envelope soliton and the background, and the critical current condition is obtained analytically. At last, we have theoretically investigated the current-excited and frequency-adjusted ferromagnetic resonance in magnetic trilayers. A particular case of the perpendicular analyzer reveals that the ferromagnetic resonance curves, including the resonant location and the resonant linewidth, can be adjusted by changing the pinned magnetization direction and the direct current. Under the control of the current and external magnetic field, several magnetic states, such as quasi-parallel and quasi-antiparallel stable states, out-of-plane precession, and bistable states can be realized. The precession frequency can be expressed as a function of the current and external magnetic field.

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Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 85%

Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 99%

Section: Nonautonomous Helical Motion Of Magnetization In Ferromagnet...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Dynamics of magnetization in ferromagnet with spin-transfer torque

Li¹,

He²,

Liu³

2014

Chinese Phys. B

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Current Driven Dynamics of Magnetization in Ferromagnet with Spin Transfer Torque

Kengne¹,

Liu²

2022

Nonlinear Waves

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Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque

Wen,

Liu,

Chen

et al. 2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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In this paper, we focus on the localized rational waves of the variable-coefficient Heisenberg spin chain equation, which models the local magnetization in ferromagnet with time-dependent inhomogeneous bilinear interaction and spin-transfer torque. First, we establish the iterative generalized (m,N−m)-fold Darboux transformation of the Heisenberg spin chain equation. Then, the novel localized rational solutions (LRSs), rogue waves (RWs), periodic waves, and hybrid wave structures on the periodic, zero, and nonzero constant backgrounds with the time-dependent coefficients α(t) and β(t) are obtained explicitly. Additionally, we provide the trajectory curves of magnetization and the variation of the magnetization direction for the obtained nonlinear waves at different times. These phenomena imply that the LRSs and RWs play the crucial roles in changing the circular motion of the magnetization. Finally, we also numerically simulate the wave propagations of some localized semi-rational solutions and RWs.

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Nonautonomous helical motion of magnetization in ferromagnetic nanowire driven by spin-polarized current and magnetic field

Cited by 4 publications

References 77 publications

Dynamics of magnetization in ferromagnet with spin-transfer torque

Dynamics of magnetization in ferromagnet with spin-transfer torque

Current Driven Dynamics of Magnetization in Ferromagnet with Spin Transfer Torque

Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque

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