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Academic paper

Nano-scale visualization of magnetic vortices in metal nanoparticles

Authors: Satoko Toyama, Yoshiki O. Murakami, Ayako Nishikawa, Takehito Seki, Akihito Kumamoto, Yuichi Ikuhara, Naoya ShibataPublished: 2026-08-05Paper ID: 2608.04490Category: cond-mat.mtrl-sciLicense: CC BY 4.0

Abstract

Magnetic vortices in individual nanoparticles are fundamental spin structures that govern the properties of next-generation magnetic devices and biomedical applications. However, directly imaging their complete structure, from the circulating in-plane magnetization to the nanometer scale out-of-plane core, remains challenging. Here, direct and quantitative visualization of magnetic vortex structures in individual cobalt nanoparticles is achieved by integrating a time-reversal methodology with tilt-scan-averaged differential phase contrast scanning transmission electron microscopy in a magnetic-field-free environment. This approach enables magnetic imaging in conjunction with atomic-scale analysis and reveals a correlation between particle geometry and internal demagnetizing fields. In addition, dynamic evolution of the vortex under in situ magnetic-field application is tracked, enabling unambiguous determination of the out-of-plane core polarity. This approach provides a powerful platform for correlating atomic-scale structure and magnetism within individual nanoparticles and for understanding the origins of nanoscale magnetic properties, thereby supporting the rational design of advanced nanomagnetic materials and devices.

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