The Effect of the Spin-Polarized Current on the Dynamics and Structural Changes of Magnetic Vortices in a Large-Diameter Three-Layer Conducting Nanocylinder

Influence of the thickness of a nonmagnetic layer on the coupled dynamics of magnetic vortices in a spin-transfer nanooscillator

“…It should be noted that in this work, the dynamics of the magnetization of both magnetic layers was modeled; therefore, m ref is inhomogeneous in space, and depends on time and is determined by numerically solving the LLG equation in the entire system. This simulation approach has already been used in our previous work [12,17,20,21]. LLE is a complex integro-differential equation and the number of analytical methods applications for its solution is very limited.…”

“…This package is proved to be an effective tool to numerical investigation of bound vortices dynamics (see e.g. [12,17,20,21]).…”

“…Previously, we considered the influence of the STNO diameter on the coupled dynamics of vortices under the action of a spin-polarized current [1,12,17,21]. The existence of several critical values of currents separating different modes of vortex dynamics was found.…”

Joint Effect of a Magnetic Field and a Spin-Polarized Current on Polarity Switching of Magnetic Vortices in a Spin-Transfer Nanooscillator

“…It is theoretically shown that with the help of a spin-polarized current it is possible to excite gyrotropic oscillations of magnetostatically coupled vortices with a constant frequency, which can change when the magnetic field is applied [12,13]. Previously, it was shown [12,15] that with the help of spin-polarized current, using the " dynamic" mechanism, it is possible to switch the vortex polarity only in a thick STNO magnetic layer. With the " dynamic" mechanism of polarity switching, when the initial vortex accelerates to a certain speed, a pair is generated from a new vortex with opposite polarity and an antivortex, followed by annihilation of the initial vortex with the antivortex.…”

“…It contains three layers: a thick permalloy magnetic layer (15 nm thick), an intermediate non-magnetic layer (10 nm thick) and a thin permalloy magnetic layer ( 4 nm thick). The magnetic parameters of the system are as follows: saturation magnetization M s = 700 and 600 erg/(G • cm 3 ) for thick and thin layers, respectively, exchange rigidity A = 1.2 • 10 −6 and 1.12 • 10 −6 erg/cm for thick and thin layers respectively, Hilbert damping parameter α = 0.01, gyromagnetic ratio γ = 2.0023 (erg • s) −1 [15]. The nonlinear dynamics of the magnetization vector M in the magnetic layer will be described using the generalized Landau−Lifshitz equation.…”