Magnetic Vortices Attract and Repel in Waves express

Original: "RKKY-like interactions between two magnetic skyrmions"
arXiv:2601.17727 · 2026-01-25 · CC BY 4.0 · 1 min
Tiny magnetic vortices called skyrmions interact not just with a simple force, but with periodic waves of attraction and repulsion.

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Two tiny magnetic vortices, called skyrmions, drift across a thin film. As they approach each other, the force between them isn't a simple attraction or repulsion, but an alternation of the two, as if two floats on water were converging and diverging, obeying an invisible wave.

It turns out that the force between skyrmions periodically changes sign: first they attract, then they repel, and this repeats with a certain step. This resembles the well-known RKKY interaction in the physics of metals, where two magnetic moments influence each other through a cloud of electrons, and this influence oscillates with distance. The scientists showed that this behavior is linked to a universal wavy "tail" in the magnetic texture of a skyrmion: that is, how the magnetization decays at the edges of the vortex.

Skyrmions are stable vortex-like formations in magnetic materials that can be moved with an electric current, like beads on a string. Their size ranges from a few nanometers to hundreds of nanometers, which is thousands of times thinner than a human hair.

This discovery is important for technology: knowing how skyrmions interact, one can assemble them into "molecules" and ordered structures, much like atoms arrange into crystals. Such skyrmion ensembles could become the basis for new devices for storing and processing information, where data bits move as tiny magnetic vortices, and their interactions enable computation.

Original abstract

as written by the authors arXiv:2601.17727

Understanding skyrmion-skyrmion interactions is crucial for effectively manipulating the motion of multiple skyrmions in racetrack and logic devices. However, the fundamental nature and microscopic origins of these interactions remain poorly understood. In this study, we investigate skyrmion-skyrmion interactions in chiral magnetic films and reveal that they possess intrinsic, anisotropic, and oscillatory characteristics. Specifically, we demonstrate that the attractive and repulsive forces between skyrmions oscillate with a well-defined period, akin to the Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling observed between two magnetic moments in metals. Our analysis uncovers the essential physics behind a previously unrecognized universal wavy tail in the skyrmion spin texture. Notably, the resulting RKKY-like interaction between skyrmions is universal for all tilted skyrmions, irrespective of whether the titled easy-axis is from an external field or a crystalline magnetic anisotropy. These findings introduce a novel physical principle for the design of skyrmion molecules or skyrmion superstructures, which hold significant potential for applications in skyrmion-based spintronics and neuromorphic computing.

The name "skyrmion" comes from the British physicist Tony Skyrme, who in the 1960s proposed a model of a particle as a knotted field resembling a vortex.

In science fiction, skyrmions are sometimes mentioned as possible information carriers in future quantum computers — for example, in Greg Egan's novel "Teranesia," magnetic vortices are used for data storage.

Scientists
Bernhard RiemannJoseph WeberKarl SchwarzschildKip ThorneRainer WeissAlbert Einstein
Concepts
magnetic skyrmions magnetic textures skyrmion Casimir effect gravitational interaction accretion disk spin orbit coupling gravitational interaction interaction magnetic material syk model