Abstract
Features of motion and of the dynamic rearrangement of a domain wall (DW) have been studied in a thin film placed in an external magnetic field perpendicular to the surface of the film. It has been shown that in fields less than some critical magnitude the motion is quasi-stationary, and in overcritical fields the movement becomes periodic. A backward motion effect was observed in some time intervals. Periodic changes of the polarity of the magnetization distribution were detected. The maximum velocities of the forward and backward motion have been shown to be identical. The coincidence of the graphs of the velocities in the half-periods with the opposite polarity was revealed. The magnetization distributions observed upon the forward and backward motion, as well as upon the change of the polarity, were found to be spatially symmetric with respect to one another. The relationship between the graphs of the full energy of the DW and its velocity has been studied. It has been shown that the maximum and minimum of the energy correspond to the zeroes of the velocity.
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REFERENCES
N. L. Schryer and L. R. Walker, “The motion of 180° domain walls in uniform dc magnetic fields,” J. Appl. Phys. 45, No. 12, 5406–5421 (1974).
S. W. Yuan and H. N. Bertram, “Domain wall dynamic transitions in thin film,” Phys. Rev. B 44, No. 22, 12395–12405 (1991).
B. N. Filippov, L. G. Korzunin, and F. A. Kassan-Ogly, “Nonlinear dynamics of vortexlike domain walls in magnetic films with in-plane anisotropy,” Phys. Rev. B 64, 104412–104422 (2001).
B. N. Filippov and L. G. Korzunin, “Nonlinear dynamics of domain walls with a vortex internal structure in masnetouniaxial films with planar anisotropy,” J. Exp. Theor. Phys. 121, 315–328 (2002).
B. N. Filippov, L. G. Korzunin, and F. A. Kassan-Ogly, “Nonlinear dynamics of vortexlike domain walls in magnetic films with in-plane anisotropy in a pulsed magnetic field,” Phys. Rev. B 70, 174411(1–11) (2004).
B. N. Filippov and F. A. Kassan-Ogly, “Nonlinear dynamic structure rearrangement of vortexlike domain walls in magnetic films with in-plane anisotropy,” Phys. D 237, 1151–1156 (2008).
B. N. Filippov, L. G. Korzunin, and F. A. Kassan-Ogly, “Dynamic rearrangement of Domain Walls with vortex internal structure in magnetic uniaxial films with in-plane anisotropy,” Solid State Commun. 121, 55–59 (2002).
S. G. Osipov, B. N. Filippov, and M. M. Khapaev, " Dynamics of a two-dimensional domain wall in a ferromagnetic film with uniaxial anisotropy,” Zh. Eksp. Teor. Fiz. 98, No. 10, 1354–1363 (1990).
F. U. Braun, Micromagnetism (Mir, Moscow, 1979) [in Russian].
T. O’Dell, Ferromagnetodynamics. The Dynamics of TsMD, Domains, and Domain Walls (Mir, Moscow, 1983) [in Russian].
J. C. Slonczewski, “Dynamics of magnetic domain walls,” Int. J. Magn. 2, 85–97 (1972).
J. C. Slonczewski, “Theory of domain-wall motion in magnetic films and platelets,” J. Appl. Phys. 44, 1759–1770 (1973).
F. B. Hagedorn, “Dynamic conversion during magnetic bubble domain wall motion,” J. Appl. Phys. 45 (7), 3129–3140 (1974).
F. Y. de Leeuw, R. van den Doel, and U. Enz, “Dynamic properties of magnetic domain walls and magnetic bubbles,” Rep. Prog. Phys. 43, No. 6, 689–783 (1980).
A. Hubert, “Statics and dynamics of domain walls in bubble materials,” J. Appl. Phys. 46 (5), 2276–2288 (1975).
E. E. Kotova and V. M. Chetverikov, “The saturation rate of a twisted domain wall in the Slonchevsky model,” Fiz. Tverd. Tela 32, No. 4, 1269–1272 (1990).
M. M. Khapaev, S. G. Osipov, and V. V. Ternovskii, “Modeling of three-dimensional periodic structures in ferromagnetic films,” Dokl. Akad. Nauk 305, 831–834 (1989).
R. P. Boardman, J. Zimmermann, H. Fangohr, A. A. Zhukov, and P. A. J. de Groot, “Micromagnetic simulation studies of ferromagnetic part spheres,” J. Appl. Phys. 97, 1–3 (2005).
V. V. Zverev, B. N. Filippov, and M. N. Dubovik, “Three-dimensional simulation of nonlinear dynamics of domain walls in films with perpendicular anisotropy,” Phys. Solid State 59, No. 3, 520–531 (2017).
T. Herranen and L. Laurson, “Bloch-line dynamics within moving domain walls in 3D ferromagnets,” Phys. Rev. B 96, 144 422–144 428 (2017).
A. E. La Bonte, “Two-dimensional Bloch–type domain walls in ferromagnetic films,” J. Appl. Phys. 40 (6), 2450–2458 (1969).
M. Labrune and J. Miltat, “Strong stripes as a paradigm of quasi-topological hysteresis,” J. Appl. Phys. 75, 2156–2168 (1994).
M. Kisielewski, A. Maziewski, and V. Zablotskii, “High cobalt layer thickness spin-reorientation phase transition,” J. Met., Mater. Miner. 316, 277–280 (2007).
M. N. Dubovik, V. V. Zverev, and B. N. Filippov, “Two-dimensional micromagnetic simulation of domain structures in films with combined anisotropy,” Phys. Solid State 55, No. 10, 2057–2064 (2013).
S. Moretti, M. Voto, and E. Martinez, “Dynamical depinning of chiral domain walls,” Phys. Rev. B 96, 054433–054442 (2017).
S. Honda and M. Tanaka, “Micromagnetic investigations of Neel- and Bloch-type skyrmion dynamics induced by spin Hall effect of cap layers,” Jpn. J. Appl. Phys. 56, 098001–098003 (2017).
M. N. Dubovik and B. N. Filippov, “Domain structure and magnetization curves of films with perpendicular anisotropy,” Phys. Met. Metallogr. 118, No. 11, 1031–1039 (2017).
V. S. Semenov, “A study of the structure and energy of the Néel domain wall by the numerical method,” Phys. Met. Metallogr. 117, No. 2, 115–123 (2016).
G. I. Marchuk, Methods of Calculations (Nauka, Moscow, 1989).
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The work was carried out within the framework of the state task of the Ministry of Education and Science of the Russian Federation (theme “Magnit”, No. AAA-A18-118020290129-5).
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Translated by S. Gorin
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Korzunin, L.G., Filippov, B.N. Scenario of a Dynamic Rearrangement of a Domain Wall in a Thin Film with a Perpendicular Anisotropy. Phys. Metals Metallogr. 120, 1047–1054 (2019). https://doi.org/10.1134/S0031918X19110073
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DOI: https://doi.org/10.1134/S0031918X19110073