Symmetry analysis of radial profiles of magnetic skyrmions

Eugenia O. Enkova^a, Vitaly A. Stepanenko^a, Maksim S. Shustin<sup>b

a</sup> Siberian Federal University, Krasnoyarsk, Russian Federation
^b Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Abstract: 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: magnetic skyrmions, chiral interactions, symmetry analysis of differential equations, skyrmion bags.

UDC: 538.945

Received: 10.08.2023
Received in revised form: 26.09.2023
Accepted: 02.11.2023

Language: English