Abstract
The effect of a magnetic field on the behavior of 180-degree domain walls in a uniaxial ferromagnetic film with an inhomogeneous magnetoelectric interaction has been studied. It has been shown that, depending on the magnitude and direction of the field, it is possible to enhance or weaken the flexomagnetoelectric effect in the sample. In addition, it was found that in the reverse field the switching of the interaction between the electric field source and the domain wall from attraction to repulsion is possible.
REFERENCES
A. P. Pyatakov and A. K. Zvezdin, “Magnetoelectric and multiferroic media,” Phys.-Usp. 55 (6), 557 (2012).
N. A. Spaldin and R. Ramesh, “Advances in magnetoelectric multiferroics,” Nat. Mater. 18, 203–212 (2019).
B. B. Krichevtsov, V. V. Pavlov, and R. V. Pisarev, “Linear effect of an electric field on magnetization processes in ferrite garnet films,” Pis’ma Zh. Eksp. Teor. Fiz. 31 (7), 77–88 (1989).
A. S. Logginov, G. A. Meshkov, A. V. Nikolaev, and A. P. Pyatakov, “Magnetoelectric control of domain walls in a ferrite garnet film,” JETP Lett. 86 (2), 115–118 (2007).
V. G. Bar’yakhtar, V. A. L’vov, and D. A. Yablonskii, “Theory of inhomogeneous magnetoelectric effect,” Pis’ma Zh. Eksp. Teor. Fiz. 37 (12), 565–567 (1983).
G. A. Meshkov, A. P. Pyatakov, A. D. Belanovsky, K. A. Zvezdin, and A. S. Logginov, “Writing vortex memory bits using electric field,” J. Magn. Soc. Jpn. 36, 45–48 (2012).
R. M. Vakhitov, A. T. Kharisov, and Yu. E. Nikolaev, “The electric field effect on the domain wall structure in magnets with the flexomagnetoelectric interaction,” Dokl. Phys. 59 (3), 119–121 (2014).
M. A. Borich, A. P. Tankeev, and V. V. Smagin, “Structure and dynamic properties of the twisted magnetic domain wall in an electric field,” Phys. Solid State 58 (1), 62–71 (2016).
M. A. Borich, A. P. Tankeev, and V. V. Smagin, “Micromagnetic structure of the domain wall with Bloch lines in an electric field,” Phys. Solid State 58 (7), 1375–1383 (2016).
R. M. Vakhitov, R. R. Iskhakova, and A. R. Yumaguzin, “Magnetic phases and inhomogeneous micromagnetic structures in a ferrite garnet film with orientation (210),” Phys. Solid State 60 (5), 925–935 (2018).
P. Pyatakov, V. I. Belotelova, D. P. Kulikova, N. E. Khokhlova, and Z. A. Pyatakova, “Magnetoelectricity in topological magnetic textures,” J. Magn. Magn. Mater. 440, 60–62 (2017).
A. F. Kabychenkov, F. V. Lisovskii, and E. G. Mansvetova, “Magnetoelectric effect in garnet films with the induced magnetic anisotropy in a nonuniform electric field,” JETP Lett. 9 (5), 265–269 (2013).
G. V. Arzamastseva, A. M. Balbashov, F. V. Lisovskii, E. G. Mansvetova, A. G. Temiryazev, and M. P. Temi-ryazeva, “Properties of epitaxial (210) iron garnet films exhibiting the magnetoelectric effect,” J. Exp. Theor. Phys. 120, 687–701 (2015).
I. S. Veshchunov, S. V. Mironov, W. Magrini, V. S. Stolyarov, A. N. Rossolenko, V. A. Skidanov, J. B. Trebbia, A. I. Buzdin, P. Tamarat, and B. Lounis, “Direct evidence of flexomagnetoelectric effect revealed by single-molecule spectroscopy,” Phys. Rev. Lett. 115, 027601 (2015).
A. P. Pyatakov, A. S. Sergeev, E. P. Nikolaeva, T. B. Kosykh, A. V. Nikolaev, and A. K. Zvezdin, “Micromagnetism and topological defects in magnetoelectric media,” Phys.-Usp. 58 (10), 981–992 (2015).
A. S. Sergeev, D. A. Sechin, O. V. Pavlenko, E. P. Nikolaeva, A. V. Nikolaev, T. B. Kosykh, and A. P. Pyatakov, “Effect of a magnetic field on the micromagnetic structure and electrostatic properties of domain walls,” Izv. Akad. Nauk, Ser. Fiz. 77, 1523–1526 (2013).
D. P. Kulikova, A. P. Pyatakov, E. P. Nikolaeva, A. S. Sergeev, T. B. Kosykh, Z. A. Pyatakova, A. V. Nikolaev, and A. K. Zvezdin, “Nucleation of magnetic bubble domains in iron garnet films by means of an electric probe,” JETP Lett. 104, 197–200 (2016).
D. Sechin, E. P. Nikolaeva, A. P. Pyatakov, A. B. Nikolaev, and T. B. Kosykh, “The influence of the magnetic field on electrically induced domain wall motion,” Solid State Phenom. 233–234, 443–446 (2015).
R. M. Vakhitov, R. V. Solonetsky, V. R. Gurjanova, A. R. Nizyamova, D. A. Sechin, T. T. Gareev, and A. P. Pyatakov, “Magnetic-field tuning of domain-wall multiferroicity,” Phys. Rev. B 104, 144407 (2021).
E. B. Magadeev and R. M. Vakhitov, “Topology of solitary magnetic inhomogeneities in a thin ferromagnetic film,” Teor. Math. Phys. 171 (3), 862–869 (2012).
R. M. Vakhitov, Z. V. Gareeva, R. V. Solonetskii, and F. A. Mazhitova, “Micromagnetic structures induced by an inhomogeneous electric field in magnetically uniaxial films with a flexo-magnetoelectric effect,” Phys. Solid State 61 (6), 1043–1051 (2019).
A. P. Malozemoff and J. C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic Press, New York, 1979).
I. E. Dzyaloshinskii, “Magnetoelectricity in ferromagnets,” Europhys. Lett. 83 (6), 67001(1–2) (2008).
V. V. Plavskii, M. A. Shamsutdinov, and B. N. Filippov, “The structure and orientation of domain walls in (111) plates of cubic ferromagnets,” Phys. Met. Metallogr. 88 (3), 22–29 (1999).
F. A. Maksutova, R. V. Solonetskiy, R. M. Vakhitov, and A. P. Pyatakov, “The electric-field–induced “zero-degree domain walls” in ferromagnets,” Europhys. Lett. 129, 27004 (2020).
H. E. Khodenkov, N. N. Kudelkin, and V. V. Randoskin, “The break-down of the 360° Bloch domain wall in bubble magnetic films,” Phys. Status Solidi A 84, K13 (1984).
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This work was carried out as part of a state assignment for performing scientific research by laboratories (order no. MN-8/1356 dated September 20, 2021).
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Translated by E. Chernokozhin
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Vakhitov, R.M., Solonetskii, R.V. & Nizyamova, A.R. The Features of the Flexomagnetoelectric Effect in an External Magnetic Field. Phys. Metals Metallogr. 124, 8–14 (2023). https://doi.org/10.1134/S0031918X22700065
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DOI: https://doi.org/10.1134/S0031918X22700065