Inertial Magnetization Dynamics in Ferromagnetic Nanoparticles Near Saturation

S. V.  Titov; Титов С. В.; Yu. P. Kalmykov; Калмыков Ю. П.; K. D. Kazarinov; Казаринов К. Д.; M. A. Cherkasskii; Черкасский М. А.; A. S. Titov; Титов А. С.

doi:10.31857/S0033849423050169

Inertial Magnetization Dynamics in Ferromagnetic Nanoparticles Near Saturation

Authors: Titov S.V.¹, Kalmykov Y.P.², Kazarinov K.D.¹, Cherkasskii M.A.³, Titov A.S.¹
Affiliations:
1. Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences
2. University of Perpignan Via Domitia
3. University of Duisburg-Essen
Issue: Vol 68, No 5 (2023)
Pages: 454-460
Section: РАДИОФИЗИЧЕСКИЕ ЯВЛЕНИЯ В ТВЕРДОМ ТЕЛЕ И ПЛАЗМЕ
URL: https://journal-vniispk.ru/0033-8494/article/view/138242
DOI: https://doi.org/10.31857/S0033849423050169
EDN: https://elibrary.ru/UIMEIJ
ID: 138242

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Abstract
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Abstract

Analytical solutions of the inertial Landau‒Lifshitz‒Gilbert equation for the longitudinal and transverse components of the magnetization of a single-domain ferromagnetic nanoparticle under near-saturation conditions are obtained. The solution method is based on simplifying the equation using the first integrals, which are determined using the analogy between the inertial motion of magnetization and the mechanical rotation of a solid. It is shown that accounting for the magnetization inertia causes the nutation at a frequency represented by means of a complete elliptic integral of the first kind. The dependence of the nutation amplitude on the external field value is discussed.

Keywords

single-domain ferromagnetic nanoparticle, Landau‒Lifshitz‒Gilbert equation, magnetization, mechanical rotation

References

Neeraj K., Awari N., Kovalev S. et al. // Nature Phys. 2021. V. 17. P. 245.
Olive E., Lansac Y., Wegrowe J.-E. // Appl. Phys. Lett. 2012. V. 100. № 19. Article No. 192407.
Wegrowe J.-E., Ciornei M.-C. // Amer. J. Phys. 2012. V. 80. № 7. P. 607.
Giordano S., Déjardin P.-M. // Phys. Rev. B. 2020. V. 102. № 21. Article No. 214406.
Thonig D., Eriksson O., Pereiro M. // Sci. Rep. 2017. V. 7. Article No. 931.
Fähnle M., Steiauf D., Illg C. // Phys. Rev. B. 2011. V. 84. № 17. Article No. 172403.
Ciornei M.-C., Rubí J.M., Wegrowe J.-E. // Phys. Rev. B. 2011. V. 83. № 2. Article No. 020410(R).
Cherkasskii M., Farle M., Semisalova A. // Phys. Rev. B. 2021. V. 103. № 17. Article No. 174435.
Olive E., Lansac Y., Meyer M. et al. // J. Appl. Phys. 2015. V. 117. № 21. Article No. 213904.
Cherkasskii M., Farle M., Semisalova A. // Phys. Rev. B. 2020. V. 102. № 18. Article No. 184432.
Mondal R., Großenbach S., Rózsa L., Nowak U. // Phys. Rev. B. 2021. V. 103. № 10. Article No. 104404.
Mondal R. // J. Phys. Condens. Matt. 2021. V. 33. № 27. Article No. 275804.
Mondal R., Oppeneer P.M. // Phys. Rev. B. 2021. V. 104. № 10. Article No. 104405.
Makhfudz I., Olive E., Nicolis S. // Appl. Phys. Lett. 2020. V. 117. № 13. Article No. 132403.
Lomonosov A.M., Temnov V.V., Wegrowe J.-E. // Phys. Rev. B. 2021. V. 104. № 5. Article No. 054425.
Handbook of Terahertz Technology for Imaging, Sensing and Communications. / Ed. D. Saeedkia. Sawston: Woodhead Publ. Lim., 2013.
Kikuchi T., Tatara G. // Phys. Rev. B. 2015. V. 92. №18. Article No. 184410.
Titov S.V., Coffey W.T., Kalmykov Y.P. et al. // Phys. Rev. B. 2021. V. 103. № 14. Article No. 144433.
Titov S.V., Coffey W.T., Kalmykov Y.P., Zarifakis M. // Phys. Rev. B. 2021. V. 103. № 21. Article No. 214444.
Гуревич А.Г., Мелков Г.А. Магнитные колебания и волны. М.: Физматлит, 1994.
Варшалович Д.А., Москалёв А.Н., Херсонский В.К. Квантовая теория углового момента. Л.: Наука, 1975.
Корн Г., Корн Т. Справочник по математике для научных работников и инженеров. М.: Наука, 1984.
Уиттекер Э.Т., Ватсон Дж.Н. Курс современного анализа. Ч. 2. Трансцендентные функции. М.: Физматлит, 1963.
Справочник по специальным функциям с формулами, графиками и математическими таблицами / Под ред. М. Абрамовица, И. Стиган. М.: Наука, 1979.
Kalmykov Yu.P. // Phys. Rev. A. 1992. V. 45. № 10. P. 7184.
Titov S.V., Kalmykov Yu.P., Coffey W.T. // J. Chem. Phys. 2003. V. 118. № 1. P. 209.
Titov S.V., Kalmykov Yu.P., Coffey W.T. // Phys. Rev. B. 2018. V. 97. № 22. Article No. 224418.
Coffey W.T., Kalmykov Yu.P., Titov S.V. Thermal Fluctuations and Relaxation Processes in Nanomagnets. Singapore: World Scientific, 2020.