Geodesic
Symmetry analysis of radial profiles of magnetic skyrmions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 6, pp. 811-819.

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The search for analytical profiles of chiral magnetic structures such as 2D magnetic skyrmions (MS) is important for their theoretical study. Since the Euler–Lagrange (EL) equations for such excitations are not solved exactly, the MSs are described using analytical ansatzs. In this work, we validate one of the widely used ansatzs based on a symmetry analysis of the 1D analog of the EL equations, which characterizes the radial profile of the MS. As a development of this approach, a profiles of skyrmion bags are proposed.
Keywords: symmetry analysis of differential equations
Mots-clés : magnetic skyrmions, chiral interactions, skyrmion bags. 
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Eugenia O. Enkova; Vitaly A. Stepanenko; Maksim S. Shustin. Symmetry analysis of radial profiles of magnetic skyrmions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 6, pp. 811-819. http://geodesic.mathdoc.fr/item/JSFU_2023_16_6_a11/

[1] T.H.R.Skyrme, “A non-linear field theory”, Proc. R. Soc. Lond. Ser. A, 260 (1961), 127

[2] T.H.R.Skyrme, “A unified field theory of mesons and baryons”, Nucl. Phys., 31 (1961), 556

[3] A.N.Bogdanov, D.A.Yablonskii, “Thermodynamically stable “vortices” in magnetically ordered crystals. The mixed state of magnets”, Sov. Phys. JETP, 95 (1989), 178–182

[4] S.Muhlbauer, B.Binz, F.Jonietz, C.Pfleiderer, A.Rosch, A.Neubauer, R.Georgii, P.Boni, “Majorana zero modes in a quantum Ising chain with longer ranged interactions”, Science, 323 (2009), 1166767

[5] S.-H.Yang 1, K.Ryu, S.Parkin, “Domain-wall velocities of up to 750 m s(-1) driven by exchange-coupling torque in synthetic antiferromagnets”, Nat. Nanotechnol., 10:3 (2016), 221–6 | DOI

[6] C.Moreau-Luchaire, C.Moutafis and ets., “Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature”, Nat. Nanotechnol., 11 (2016), 444–448

[7] G.Yu, P.Upadhyaya, Q.Shao, H.Wu, G.Yin, X.Li, C.He, W.Jiang, X.Han, P.Khalili Amiri, K.L.Wang, “Room-Temperature Skyrmion Shift Device for Memory Application”, Nano Lett., 17 (2017), 261–268 | DOI

[8] F.N.Ünal, E.J.Mueller, “Cooling quantum gases with entropy localization”, New J. Phys., 19 (2017), 023045

[9] F.N.Rybakov, N.S.Kiselev, “Chiral magnetic skyrmions with arbitrary topological charge”, Phys. Rev., 99 (2019), 064437 | DOI

[10] V.M.Kuchkin, B.Barton-Singer, F.N.Rybakov, S.Blügel, B.J.Schroers, N.S.Kiselev, “Magnetic skyrmions, chiral kinks, and holomorphic functions”, Phys. Rev., 102 (2020), 144422 | DOI

[11] D.Foster, C.Kind, P.Ackerman, J.S.Tai, M Dennis, I.Smalyukh, “Two-dimensional skyrmion bags in liquid crystals and ferromagnets”, Nature Physics, 15:7 (2019), 655–659 | DOI

[12] B.Seng, D.Schonke and ets., “Direct Imaging of Chiral Domain Walls and Neel-Type Skyrmionium in Ferrimagnetic Alloys”, Advanced Functional Materials, 31 (2021) | DOI

[13] J.Tang, Y.Wu, W.Wang, L.Kong, B.Lv, W.Wei, J.Zang, M.Tian, H.Du, “Magnetic skyrmion bundles and their current-driven dynamics”, Nat. Nanotechnol., 16 (2021), 1086–1091 | DOI

[14] X.S.Wang, H.Y.Yuan, X.R.Wang, “A theory on skyrmion size”, Comm. Phys., 1 (2018), 31 | DOI

[15] A.S.Schwarz, Quantum field theory and topology, v. 2, GL, 2017

[16] L.V.Ovsiannikov, Group analysis of differential equations, Academic Press, 1982