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. 2022 May 30;13:3000. doi: 10.1038/s41467-022-30460-y

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© The Author(s) 2022

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 3 — a DW displacement plotted against temperature for various in-plane dc magnetic field $H_{y}$ applied to the sample. b The changes in DW displacement $Δ x$ induced by dc field values of $H_{y} = 500 Oe$ and $1000 Oe$ show sharp peaks at $T = 135 K$ and $136 K$ , indicating a phase transition into the linear wall state, c DW displacement versus $H_{ac}$ for different values of in-plane dc fields $H_{y}$ at $T = 139 K$ . A clear change in the DW displacement and mobility is observed by tuning the wall ellipticity with an in-planed field $H_{y}$ applied to the sample near $T_{BG}$ . d DW displacement plotted versus in-plane field $H_{y}$ for various temperatures. A saturation behavior is observed at lower temperatures toward the Bloch wall phase.