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Application of self-organization methods to current-induced magnetization dynamics of a single-domain ferromagnet
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10.1063/1.2433993
/content/aip/journal/jap/101/3/10.1063/1.2433993
http://aip.metastore.ingenta.com/content/aip/journal/jap/101/3/10.1063/1.2433993
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the system considered in this article.

Image of FIG. 2.
FIG. 2.

Equilibrium states of the system as a function of magnetic field (here and in the following, d.u. means dimensionless units).

Image of FIG. 3.
FIG. 3.

Magnetic field dependence of the magnetic moment components for the stationary states calculated for . The curves labeled with 1, 2, and 3 correspond, respectively, to , , and for the state ; whereas the curves 4, 5, and 6 represent , , and for the state . (The data corresponding to the curves 3 and 5 have been multiplied by a factor of 40.)

Image of FIG. 4.
FIG. 4.

Magnetic field dependence of the solutions of the characteristic equation: real (curves 1 and 3) and imaginary (curves 2 and 4) parts of , real parts of (curves 5 and 6). Stationary states : curves 1–6, equilibrium states : curves . The curves 1,3, and are multiplied by a factor of 100.

Image of FIG. 5.
FIG. 5.

Bifurcation diagram of neutral stability for stationary (, solid curves) and equilibrium (, dashed curves) states for and different values of : 1 and correspond to ; 2 and correspond to ; 3 and correspond to .

Image of FIG. 6.
FIG. 6.

Dependence of on external magnetic field for the stationary state at different observation times, calculated for .

Image of FIG. 7.
FIG. 7.

Dependence of on external magnetic field for the equilibrium state at different observation times.

Image of FIG. 8.
FIG. 8.

Phase portraits and main system characteristics vs applied magnetic field: (a) density plot, (b) power spectral density , (c) evolution of trajectory tracing curve, and (d) Hausdorff dimension and maximum Lyapunov exponent .

Image of FIG. 9.
FIG. 9.

The system evolution with the applied magnetic field : density plots for different values of the spin current.

Image of FIG. 10.
FIG. 10.

Time evolution of (curves 1, 2, 3) and (curves ), calculated for and different applied magnetic fields: for ; for ; for . The thin oscillating curves correspond to calculated numerically.

Image of FIG. 11.
FIG. 11.

Magnetization component (curves 1–4) and (curves ) as a function of magnetic field for and different spin currents: the curves are for ; for ; for ; and for .

Image of FIG. 12.
FIG. 12.

Dependence of the switching time on for different spin currents: The curve 1 is for , 2 for , 3 for . Behavior of the parameters and with spin current is given in the inset.

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/content/aip/journal/jap/101/3/10.1063/1.2433993
2007-02-07
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Application of self-organization methods to current-induced magnetization dynamics of a single-domain ferromagnet
http://aip.metastore.ingenta.com/content/aip/journal/jap/101/3/10.1063/1.2433993
10.1063/1.2433993
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