June 10, 2017

A skyrmion square dance

Applying a magnetic field can switch a grid of magnetic vortices between triangular and square arrangements

Figure 1: After forming a stable, triangular lattice of skyrmions (shown here), RIKEN researchers used an external magnetic field to rearrange the lattice into a square pattern.

© 2017 Yoichi Nii

Tiny whirling magnetic patterns called skyrmions are attracting attention as potential data carriers in next-generation memory devices. RIKEN researchers have now discovered that a magnetic field can be used to switch a group of skyrmions between two different lattice arrangements, demonstrating the kind of control needed to develop such devices1.

The atoms in certain materials carry their own intrinsic magnetism, with each acting like a bar magnet. When these miniature magnets are swept into tiny swirling patterns, they collectively form skyrmions, which behave as discrete particles. Being circular, skyrmions typically pack together in a triangular lattice (Fig. 1).

Taro Nakajima and Hiroshi Oike of the RIKEN Center for Emergent Matter Science and colleagues studied how this skyrmion lattice can be manipulated in manganese silicide. Generally, skyrmion lattices only appear in this material within a narrow range of temperatures and magnetic fields. That makes the lattices too fragile to rearrange.

Working with researchers at the Australian Nuclear Science and Technology Organisation (ANSTO), the team formed a more robust skyrmion lattice by applying electrical pulses to the material at 12.5 kelvin and a magnetic field of 0.2 tesla. The pulses rapidly heated the material, causing skyrmions to form in a window of stability between 27 and 29 kelvin. The sample quickly cooled, locking the skyrmions into a triangular lattice that were stable over a wide range of temperatures and magnetic fields.

Hiroshi Oike (front) and Taro Nakajima standing next to the experimental setup used to explore the arrangement of skyrmions in manganese silicide.

© RIKEN Center for Emergent Matter Science

The researchers then cooled the sample to 1.5 kelvin and used neutron-scattering experiments to study how the skyrmion lattice changed under different magnetic fields. At magnetic fields below 0.1 tesla, the lattice rearranged into a square pattern that was stable only within a relatively confined range of very low temperatures and magnetic fields. Raising the field to 0.2 tesla resurrected the triangular lattice.

“It was a very tough experiment,” recalls Nakajima. “But when we found that the first current pulse application was successful, everybody shouted, ‘Yes! We’ve got it!’”

The researchers suggest that these lattice transitions are influenced by unevenness, or anisotropy, in the underlying magnetism of the manganese atoms in the material. At low magnetic fields and temperatures, this anisotropy allows the skyrmions to partially overlap, moving closer together to adopt a square lattice arrangement. Similar effects are well observed in particles like atoms.

“Our experiments revealed that the skyrmions do indeed have a particle nature in bulk crystals,” says Nakajima. “These are expected to be applicable for future magnetic memory devices in which each skyrmion particle behaves as an information carrier.”


  1. Nakajima, T., Oike, H., Kikkawa, A., Gilbert, E., Booth, N., Kakurai, K., Taguchi, Y., Tokura, Y., Kagawa, F. & Arima, T-h. Skyrmion lattice structural transition in MnSi. Science Advances 3, e1602562 (2017). doi: 10.1126/sciadv.1602562 (Link)