Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. Founded at 2009


Study of magnetic properties of cobalt nanofilms under external field conditions using mathematical modeling

A.Yu.. Fedotov, O.Yu.. Severyukhina, A.Yu.. Salomatina

Udmurt Federal Research Center UB RAS

DOI: 10.26456/pcascnn/2025.17.497

Original article

Abstract: In this paper, we study the magnetic characteristics of cobalt nanofilms. Cobalt films are of interest for integration into hybrid systems, which opens up new possibilities for the development of multifunctional devices. The aim of the study is to model the magnetic characteristics of cobalt nanofilms with different thicknesses under the influence of various magnetic fields. To achieve this goal, a mathematical model was used that describes the motion of atoms and the reorientation of their spins. The model is based on the Langevin and Landau-Lifshitz-Gilbert equations for describing the system dynamics. The results of the study show the influence of the external magnetic field on the magnetic characteristics of cobalt films with a thickness of 1,8 to 7,1 nm. With an increase in the film thickness, a decrease in the magnetization modulus is observed. The value of the magnetization modulus of the system shows a nonlinear dependence on both the number of crystalline cobalt layers and the magnitude of the external magnetic field. At different values of magnetic induction, changes in the behavior of magnetization are recorded, including the formation of domains and domain walls. The developed model allows analyzing the influence of various factors on the magnetic properties of materials, which can contribute to the optimization of thin-film structures for use in spintronics. The study emphasizes the importance of understanding the magnetic properties of thin films for the development of new technologies in this area.

Keywords: mathematical modeling, molecular dynamics, spin dynamics, ferromagnet, thin films, magnetic properties

  • Aleksey Yu.. Fedotov – Dr. Sc., Leading Researche, Udmurt Federal Research Center UB RAS
  • Olesya Yu.. Severyukhina – Ph. D., Researcher,, Udmurt Federal Research Center UB RAS
  • Anastasia Yu.. Salomatina – Postgraduate student, Udmurt Federal Research Center UB RAS

For citation:

Fedotov A.Yu.., Severyukhina O.Yu.., Salomatina A.Yu.. Issledovanie magnitnykh svojstv nanoplenok kobalta v usloviyakh vneshnego polya metodom matematicheskogo modelirovaniya [Study of magnetic properties of cobalt nanofilms under external field conditions using mathematical modeling], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2025, issue 17, pp. 497-505. DOI: 10.26456/pcascnn/2025.17.497.

Full article (in Russian): download PDF file

References:

1. Rakunov P.A., Lyakhova M.B., Semenova E.M., Karpenkov A.Yu. Magnitnye svojstva i protsessy peremagnichivaniya splavov Sm-Gd-Zr-Co-Cu-Fe [Magnetic properties and magnetic reversal processes of the Sm-Gd-Zr-Co-Cu-Fe alloys], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2024, issue 16, pp. 258-266. DOI: 10.26456/pcascnn/2024.16.258.
2. Kharmouche A. An experimental study of the static magnetic properties of Co thin films, The European Physical Journal B, 2024, vol. 97, issue 6, art. no. 87, 9 p. DOI: 10.1140/epjb/s10051-024-00729-w.
3. Parkin S.S.P., Hayashi M., Thomas L. Magnetic domain wall racetrack memory, Science, 2008, vol. 320, issue 5873, pp. 190-194. DOI: 10.1126/science.1145799.
4. Patel G., Ganss F., Salikhov R. et al. Structural and magnetic properties of thin cobalt films with mixed hcp and fcc phases, Physical Review B, 2023, vol. 108, issue 18, pp. 184429-1-184429-9. DOI: 10.1103/PhysRevB.108.184429.
5. Song K., Li Z., Fang M., Xiao Z., Lei Q. Structural and magnetic properties of micropolycrystalline cobalt thin films fabricated by direct current magnetron sputtering, International Journal of Minerals, Metallurgy, and Materials, 2024, vol. 31, issue 2, pp. 384‒394. DOI: 10.1007/s12613-023-2715-5.
6. Yakout S.M. Spintronics: future technology for new data storage and communication devices, Journal of Superconductivity and Novel Magnetism, 2020, vol. 33, issue 9, pp. 2557-2580. DOI: 10.1007/s10948-020-05545-8.
7. Handbook of Semiconductor Manufacturing Technology, ed. by R. Doering, Y. Nishi, 2nd ed. Boca Raton, CRC press, 2008, 1720 p. DOI: 10.1201/9781420017663.
8. Salomatina A.Yu., Fedotov A.Yu., Severyukhina O.Yu., Vinogradov F.A. Issledovanie magnitnykh svojstv nanokompozita Co-Fe [Study of Co-Fe nanocomposite magnetic properties], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2024, issue 16, pp. 267-276. DOI: 10.26456/pcascnn/2024.16.267.
9. Vakhrushev A.V., Fedotov A.Yu., Severyukhina O.Yu., Sidorenko A.S. The influence of structure and local structural defects on the magnetic properties of cobalt nanofilms, Beilstein Journal of Nanotechnology, 2023, vol. 14, pp. 23-33. DOI: 10.3762/bjnano.14.3.
10. Vakhrushev A.V., Fedotov A.Yu., Sidorenko A.S. Simulation of Multilayer Nanosystems Interface Formation Process for Spintronics, Key Engineering Materials, 2021, vol. 888, pp. 57-65. DOI: 10.4028/www.scientific.net/kem.888.57.
11. Pomeau Y., Piasecki J. The Langevin equation, Comptes Rendus Physique, 2017, vol. 18, issues 9-10, pp. 570-582. DOI: 10.1016/j.crhy.2017.10.001.
12. Ermak D.L., Buckholz H. Numerical integration of the Langevin equation: Monte Carlo simulation, Journal of Computational Physics, 1980, vol. 35, issue 2, pp. 169-182. DOI: 10.1016/0021-9991(80)90084-4.
13. Dattagupta S., Ghosh A. Brownian-motion approach to satistical mechanics: Langevin equations, fluctuations, and timescales, Physics of Fluids, 2025, vol. 37, issue 2, pp. 027199-1-027199-15. DOI: 10.1063/5.0255687.
14. Xu F., Li G., Chen J. et al. Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to skyrmion dynamics, Physical Review B, 2023, vol. 108, issue 14, pp. 144409-1-144409-13. DOI: 10.1103/PhysRevB.108.144409.
15. Meo A., Cronshaw C.E., Jenkins S., Lees A., Evans R.F. Spin-transfer and spin-orbit torques in the Landau–Lifshitz–Gilbert equation, Journal of Physics: Condensed Matter, 2022, vol. 35, issue 2, pp. 025801-1-025801-12. DOI: 10.1088/1361-648X/ac9c80.
16. Baskes M.I. Modified embedded-atom potentials for cubic materials and impurities, Physical Review B, 1992, vol. 46, issue 5, pp. 2727-2742. DOI: 10.1103/PhysRevB.46.2727.
17. Aitken Z.H., Sorkin V., Yu Z.G. et al. Modified embedded-atom method potentials for the plasticity and fracture behaviors of unary fcc metals, Physical Review B, 2021, vol. 103, issue 9, pp. 094116-1-094116-10. DOI: 10.1103/PhysRevB.103.094116.
18. García-Palacios J.L., Lázaro F.J. Langevin-dynamics study of the dynamical properties of small magnetic particles, Physical Review B, 1998, vol. 58, issue 22, pp. 14937-14958. DOI: 10.1103/PhysRevB.58.14937.
19. Brown Jr.W.F. Thermal fluctuations of a single-domain particle, Physical Review, 1963, vol. 130, issue 5, pp. 1677-1686. DOI: 10.1103/PhysRev.130.1677.
20. Plimpton S. Fast parallel algorithms for short-range molecular dynamics, Journal of Computational Physics, 1995, vol. 117, issue 1, pp. 1-19. DOI: 10.1006/jcph.1995.1039.
21. Tranchida J., Plimpton S.J., Thibaudeau P., Thompson A.P. Massively parallel symplectic algorithm for coupled magnetic spin dynamics and molecular dynamics, Journal of Computational Physics, 2018, vol. 372, pp. 406-425. DOI: 10.1016/j.jcp.2018.06.042.
22. Nieves P., Tranchida J., Arapan S., Legut D. Spin-lattice model for cubic crystals, Physical Review B, 2021, vol. 103, issue 9, pp. 094437-1-094437-16. DOI: 10.1103/PhysRevB.103.094437.

⇐ Prevoius journal article | Content | Next journal article ⇒