Influence of fourth-order anisotropy on precession of the magnetization equilibrium position under the conditions of orientational transition

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Abstract

The precession of the magnetization equilibrium position in a medium with uniaxial anisotropy of the second and fourth orders is considered. In the geometry of the normally magnetized ferrite plate the conditions of orientational transition necessary for excitation of precession of equilibrium are found. Time dependences of the fluctuations of the transverse components of the magnetization are obtained. Precession portraits for the cases of anisotropy of the second and fourth orders are constructed. It is shown that both of them have the form of a large ring filled along the formation by small rings. It is shown that at sufficiently large magnitude of the fourth-order anisotropy in the distribution of small rings, thickenings corresponding to fractures of the time dependences of the transverse magnetization components are observed.

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About the authors

V. S. Vlasov

Syktyvkar State University named after P. Sorokin

Email: vshcheg@cplire.ru
Russian Federation, Oktyabrsky Prospekt, 55, Syktyvkar, 167001

V. G. Shavrov

Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Email: vshcheg@cplire.ru
Russian Federation, Mokhovaya Str., 11, Build. 7, Moscow, 125009

V. I. Shcheglov

Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Author for correspondence.
Email: vshcheg@cplire.ru
Russian Federation, Mokhovaya Str., 11, Build. 7, Moscow, 125009

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Supplementary files

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2. Fig. 1. Diagram of the geometry of precession of the equilibrium position of magnetization.

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3. Fig. 2. Dependence of the anisotropy energy density of different orders on the normalized transverse components of magnetization (scale is arbitrary): 1 – fourth order; 2 – second order; 3 – sum of the fourth and second orders.

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4. Fig. 3. Oscillations of magnetization components mx (a) and my (b) over time for different types of anisotropy: curve 1 – K2 ≠ 0, K4 ≠ 0; curve 2 – K2 = 0, K4 = 0.

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5. Fig. 4. Precession portraits of magnetization oscillations for different types of anisotropy: curve 1 – K2 ≠ 0, K4 ≠ 0; curve 2 – K2 = 0, K4 = 0.

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6. Fig. 5. Dependences of the anisotropy energy density of both orders on the normalized transverse component of magnetization mx for different values ​​of the constants: curve 1 – K2 = 900 erg×cm–3, K4 = –1000 erg×cm–3; curve 2 – K2 = 900 erg×cm–3, K4 = –15000 erg×cm–3.

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7. Fig. 6. Oscillations of the magnetization components mx (a) and my (b) over time for different values ​​of the fourth-order anisotropy constant: –1000 (1) and –15000 erg×cm–3 (2); for clarity, the total sweep time has been doubled compared to Fig. 3.

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8. Fig. 7. Precession portrait of magnetization oscillations for small (a) and large (b) values ​​of the fourth-order anisotropy constant: K4 = –1000 (a) and –15000 erg×cm–3 (b).

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