In the presence of a magnetic field, the flow of charged particles in a conductor is deflected from the direction of the applied force, which gives rise to the ordinary Hall effect. Analogously, moving skyrmions with non-zero topological charges and finite fictitious magnetic fields exhibit the skyrmion Hall effect, which is detrimental for applications such as skyrmion racetrack memory. It was predicted that the skyrmion Hall effect vanishes for antiferromagnetic skyrmions because their fictitious magnetic field, proportional to net spin density, is zero. Here we investigate the current-driven transverse elongation of pinned ferrimagnetic bubbles. We estimate the skyrmion Hall effect from the angle between the current and the bubble elongation directions. The angle and, hence, the skyrmion Hall effect vanishes at the angular momentum compensation temperature where the net spin density vanishes. Furthermore, our study establishes a direct connection between the fictitious magnetic field and the spin density.
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This work was supported by the JSPS KAKENHI (grant nos 15H05702, 26103002 and 26103004), Collaborative Research Program of the Institute for Chemical Research, Kyoto University, and R&D project for the ICT Key Technology of MEXT from the Japan Society for the Promotion of Science (JSPS). This work was partly supported by the Cooperative Research Project Program of the Research Institute of Electrical Communication, Tohoku University. D.-H.K. was supported as an Overseas Researcher under the Postdoctoral Fellowship of JSPS (grant no. P16314). D.-K.L., S.-H.O. and K.-J.L. were supported by the National Research Foundation of Korea (grant no. 2017R1A2B2006119), Samsung Research Funding Center of Samsung Electronics under project no. SRFCMA1702-02 and the KIST Institutional Program (project no. 2V05750). S.K.K. and Y.T. were supported by the Army Research Office under contract no. W911NF-14-1-0016. D.-Y.K. and S.-B.C. were supported by a National Research Foundations of Korea (NRF) grant funded by the Ministry of Science, ICT and Future Planning of Korea (MSIP) (grant nos //2015R1A2A1A05001698 and 2015M3D1A1070465).