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    Fact and artifact in Lorentz imaging of skyrmionic magnetic textures

    Xiaowen Chen1,2, Luyan Yang3,*, Andrii Savchenko4, Donghai Yang1, Wen Shi2,5, Thibaud Denneulin6, Nikolai S. Kiselev4, Lei Jin5, Dongsheng Song7 et al.

    Rafal E. Dunin-Borkowski6 and Fengshan Zheng1,2,†

    • 1Spin-X Institute, School of Physics and Optoelectronics, State Key Laboratory of Luminescent Materials and Devices, Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou 511442, China
    • 2Center for Electron Microscopy, South China University of Technology, Guangzhou 511442, China
    • 3Beijing Key Laboratory of Microstructure and Properties of Advanced Materials, College of Materials Science and Engineering, Beijing University of Technology, Beijing 100124, China
    • 4Peter Grünberg Institute and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany
    • 5Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons and Peter Grünberg Institute, Forschungszentrum Jülich, 52425 Jülich, Germany
    • 6Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons, Forschungszentrum Jülich, 52425 Jülich, Germany
    • 7Information Materials and Intelligent Sensing Laboratory of Anhui Province, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601, China

    • *Contact author: yangluyan@bjut.edu.cn
    • †Contact author: zhengfs@scut.edu.cn

    Phys. Rev. B 112, 214455 – Published 30 December, 2025

    DOI: https://doi.org/10.1103/sm5r-2vps

    Abstract

    Lorentz transmission electron microscopy is widely used for imaging magnetic structures at the nanoscale in real space. However, its interpretation can be complicated by imaging artifacts induced by the defocus distance and specimen tilt. In this work, we systematically examine the origins of such artifacts through experimental and simulated Fresnel defocused Lorentz imaging of Bloch-type skyrmionic spin textures. We analyze the effects from the defocus distance, the magnetic field, and the sample thickness in an individual skyrmion, two neighboring skyrmions, and the skyrmion lattice. We demonstrate that improper defocus distance and specimen tilt may introduce artifacts that are not associated with the actual magnetic configurations. These findings provide a practical framework for Lorentz TEM imaging and highlight the importance of the defocus distance, sample tilt, and theoretical support for reliable interpretations of magnetic textures.

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