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The emergent electric field induced by pinned magnetic solitons remains poorly understood. Now the dissipative motion of magnetic domain walls under an alternating current in Weyl magnet NdAlSi devices is shown to induce a large emergent electric field.

Skyrmions are localized magnetic textures that form lattices in some magnetic materials. Neutron spin-echo measurements have now been able to observe topological effects on the low-energy collective excitations of a skrymion lattice.

The spatial distribution of the quantized transport due to the presence of Weyl orbits in topological semimetals remains elusive. Here, the authors report concomitant modulation of doubly-degenerate quantum Hall states, evidencing intrinsic coupling between two spatially separated surface states in the Weyl orbits of a Dirac semimetal film.

The recent observation of quantum Hall states in bulk Dirac semimetal Cd₃As₂ is possibly evolved from topological states. Here, Nishihaya et al. report surface quantum oscillation and its evolution into quantum Hall states in Cd₃As₂ thin films, where unconventional bulk states involve in quantized surface transport.

The ability to modify a material’s magnetization with an electric field could enable lower-power electronic devices. Such ‘magnetoelectric’ behaviour is usually only seen at the interface between magnetostrictive and electrostrictive materials, but has now been observed in the bulk of single-component rare-earth ferrites.

Peer review information: Nature Communications thanks Shiqing Deng, and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. A peer review file is available.

Rare-earth ions are often crucial for the emergence of multiferroicity, yet their 4f-driven magnetic domain patterns remain elusive. Using optical second harmonic generation, the authors uncover columnar Dy/Tb domains in multiferroic Dy_0.7Tb_0.3FeO₃. The domain orientation enforces charged ferroelectric walls, underscoring the pivotal role of 4f order in shaping multiferroic domains.

Antiskyrmions, like skyrmions, are a form of topological spin texture, with a topological charge of opposite sign to the equivalent skyrmion with the same polarity. While antiskyrmions have been less explored, they offer some potential advantages for applications, and here, Guang et al demonstrate antiskyrmion motion within stripe domains.

Antiskyrmions had only been observed in a few Heusler compounds with D_2d symmetry. Here a new material, Fe_1.9Ni_0.9Pd_0.2P, in a different symmetry class (S₄ symmetry) is reported to host antiskyrmions, as well as sawtooth surface textures and skyrmions.

Skyrmions, topological spin textures, have attracted interest for use in spin-based information processing. Here, Peng et al analyse the current driven motion of a single skyrmion at room temperature in a chiral-lattice magnet, tracking the motion using Lorentz transmission electron microscopy.

The antiferromagnet CoNb₃S₆ with chiral crystal lattice has near-zero magnetization, but exhibits a large thermoelectric Nernst effect in zero magnetic field, attributed to topological nodal planes in its electronic structure and magnetic spin-space group symmetries in the ordered state.

In multiferroics ferroelectricity and magnetism are coupled, but the coupling is often rather weak. As is now shown for a perovskite oxide, composite domain walls can lead to a strong coupling of electricity and magnetism, highlighting the importance of domain walls for practical applications using multiferroics.

Topological protection can stabilize states of matter, but for how long? By creating metastable magnetic skyrmion lattices, the interplay between topological and thermodynamic stability has now been probed experimentally.

Current physical neuromorphic computing faces critical challenges of how to reconfigure key physical dynamics of a system to adapt computational performance to match a diverse range of tasks. Here the authors present a task-adaptive approach to physical neuromorphic computing based on on-demand control of computing performance using various magnetic phases of chiral magnets.

Topological spin textures, such as skyrmions and antiskyrmions are of interest for use in information storage, owing to their inherent robustness. Critical to this use is the ability to manipulate these spin textures. Here, Yasin et al. demonstrate heat current driven transformation of a topological spin texture in a ferromagnet at room temperature.

The emergent electrodynamics induced by skyrmion lattice motion in Gd₂PdSi₃ is facilitated by its giant topological Hall effect dynamic transition, and implies the emergent Galilean relativity of current-driven skyrmions.

Despite many achievements in the topological semimetal Cd₃As₂, the high-quality Cd₃As₂ films are still rare. Here, Uchida et al. grow high-crystallinity and high-mobility Cd₃As₂ thin films and observe quantum Hall states dependent on the confinement thickness.

Understanding and controlling the skyrmion lattice (SkL) phase facilitates its versatile applications. Here the direct observation of a SkL phase with large topological Hall effect in centrosymmetric Gd₃Ru₄Al₁₂ is reported, which is stabilized by thermal fluctuations and magnetic field without Dzyaloshinskii-Moriya interactions.

Understanding the dynamics of the skyrmion string lattice is the prerequisite for its potential application as next-generation information carriers. Here, the authors explore the topological unwinding of skyrmion string lattice under the application of current pulses.

3D skyrmion strings are topological spin textures promising for spintronics applications, but their manipulation and dynamics are challenging to understand. Here, high-resolution 3D phase imaging reveals the melting dynamics of metastable skyrmions, accompanied by the emergence of (anti)hedgehogs, in (Fe,Ni,Pd)₃P and FeGe helimagnets.