Large amplitude spin-Hall oscillations due to field-like torque

Arun, R.; Gopal, R.; Chandrasekar, V. K.; Lakshmanan, M.

doi:10.1088/1361-648x/abf0c1

Cited by 3 publications

(10 citation statements)

References 54 publications

(71 reference statements)

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“…However, unlike the real magnetic field, the fieldlike SOT depends on the current, and also varies when adjusting the dampinglike SOT. This complicate the task of solving equation (21). Anyway, let's figure out the constant-energy trajectory in the presence of fieldlike SOT firstly.…”

Section: Sot Y Effmentioning

confidence: 99%

“…According to above calculations, we see that W sot and W damp are complicated functions of β, χ and E eff . So, it is impossible to solve equation (21) analytically. Then, we numerically solve equation (21) for E eff in the β-χ parameter plane.…”

Section: K K Ementioning

confidence: 99%

“…So, it is impossible to solve equation (21) analytically. Then, we numerically solve equation (21) for E eff in the β-χ parameter plane. We find that, if β > 0, there is no solution in the interval that < < E E E min eff max , i.e.…”

Section: K K Ementioning

confidence: 99%

“…As regards the role of fieldlike torque, recent works revealed that it can either assist or hinder the switching [14][15][16], and make the field-free switching possible [17,18]. Additionally, there are few reports [19][20][21] about the influence of fieldlike torque on the self-oscillation [19,20]. investigate the self-oscillation stabilized by the fieldlike spin-transfer torque in a spin-valve structure.…”

Section: Introductionmentioning

confidence: 99%

“…investigate the self-oscillation stabilized by the fieldlike spin-transfer torque in a spin-valve structure. In [21], although involving the fieldlike SOT, it is emphasized that the self-oscillation emerges by tuning the direction of in-plane anisotropy direction. Despite these fascinating properties, however, the related researches should be worth of more efforts, and a full theoretic understanding of the effects of fieldlike SOT on the magnetization dynamics, especially the self-oscillation, is highly desirable given the inevitable existence and the adjustability of fieldlike SOT.…”

Section: Introductionmentioning

confidence: 99%

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Field-free self-oscillation of magnetization enabled by the fieldlike spin-orbit torque

Wang,

Wan

et al. 2023

Phys. Scr.

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Fieldlike spin-orbit torque, which behaves like a torque from a magnetic field, but relies on the current together with the damplike one, was recognized to influence magnetization switching. However, its role on magnetic oscillations remains to be explored. By linear stability analysis and energy averaging technique, we obtain analytic formulas for the stable boundaries of various states. Then, a phase diagram is constructed, which is controlled by the current and a tunable ratio $\beta$ of the fieldlike torque to the dampinglike one. We find that some new stable, bistable and dynamic states come forth. Especially, a bias-field-free self-oscillation emerges for negative $\beta$, which enables the average energy balance between the dampinglike torque and the intrinsic damping. There occur two kinds of oscillations, analogous to the usual in-plane and out-of-plane precessions. If increasing the current, the frequency declines for the former, and subsequently rises for the latter. Varying $\beta$ slightly affects the frequency range, but dramatically alters the adjustable range of current. In addition, the phase diagram indicates that the switching direction reverses with $\beta$ stepping over $- 1/\alpha$ with $\alpha$ being the damping constant, and the switching current decreases with $\vert \beta \vert$ increasing.

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Section: Sot Y Effmentioning

confidence: 99%

Section: K K Ementioning

confidence: 99%

Section: K K Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Field-free self-oscillation of magnetization enabled by the fieldlike spin-orbit torque

Wang,

Wan

et al. 2023

Phys. Scr.

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Exploration of field-like torque and field-angle tunability in coupled spin-torque nano oscillators for synchronization

Arun,

Gopal,

Chandrasekar

et al. 2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We investigate the influence of field-like torque and the direction of the external magnetic field on a one-dimensional array of serially connected spin-torque nano oscillators (STNOs), having free layers with perpendicular anisotropy, to achieve complete synchronization between them by analyzing the associated Landau–Lifshitz–Gilbert–Slonczewski equation. The obtained results for synchronization are discussed for the cases of 2, 10, and 100 oscillators separately. The roles of the field-like torque and the direction of the external field on the synchronization of the STNOs are explored through the Kuramoto order parameter. While the field-like torque alone is sufficient to bring out global synchronization in the system made up of a small number of STNOs, the direction of the external field is also needed to be slightly tuned to synchronize the one-dimensional array of a large number of STNOs. The formation of complete synchronization through the construction of clusters within the system is identified for the 100 oscillators. The large amplitude synchronized oscillations are obtained for small to large numbers of oscillators. Moreover, the tunability in frequency for a wide range of currents is shown for the synchronized oscillations up to 100 spin-torque oscillators. In addition to achieving synchronization, the field-like torque increases the frequency of the synchronized oscillations. The transverse Lyapunov exponents are deduced to confirm the stable synchronization in coupled STNOs due to the field-like torque and to validate the results obtained in the numerical simulations. The output power of the array is estimated to be enhanced substantially due to complete synchronization by the combined effect of field-like torque and tunability of the field-angle.

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Field-Free Spin Hall Nano-Oscillator Using the Exchange Bias in Ferro/Anti-Ferromagnetic Structures

Sravani,

Mishra,

Bhuktare

2024

IEEE Trans. Magn.

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Large amplitude spin-Hall oscillations due to field-like torque

Cited by 3 publications

References 54 publications

Field-free self-oscillation of magnetization enabled by the fieldlike spin-orbit torque

Field-free self-oscillation of magnetization enabled by the fieldlike spin-orbit torque

Exploration of field-like torque and field-angle tunability in coupled spin-torque nano oscillators for synchronization

Field-Free Spin Hall Nano-Oscillator Using the Exchange Bias in Ferro/Anti-Ferromagnetic Structures

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