Original title: Heesch Nodal Lines in Inadmissible Achiral Antiferromagnets
Xing-Yao Guo, Chung-Yuen Chan, Zi-Ting Sun, Kam Tuen Law · September 2026
Electrons in solid materials can act like exotic particles that travel without mass. Scientists recently discovered Heesch Weyl materials. These are special magnets where these particle points are permanently pinned in place, preventing opposite points from meeting and canceling out. In this study, researchers looked at what happens when these magnets have achiral symmetry, meaning their structure matches its own mirror reflection. They found that restoring mirror or rotoinversion symmetries connects these pinned points with long, two-fold touching paths called Heesch nodal lines. Slicing through these lines creates flat planes filled with massless electron cones. A large group of these magnets shows a nonlinear anomalous Hall effectA voltage generated perpendicular to both current and magnetic field, even in materials with no net magnetism., a sideways electrical response, starting at the third order. Testing materials like MnTe, CrSb, and Mn3GaN confirmed these lines exist. Finally, stretching the crystals breaks the symmetry, opening energy gaps that could help create strong sideways electrical effects.
Imagine two separate fountains in a park, each shooting water into the air independently. Normally, the water streams don't connect. But if you adjust the plumbing to link them, the water flows continuously from one to the other along a path. In this paper, the fountains are Weyl points, adjusting the plumbing is restoring symmetry, and the continuous water path is the nodal line that connects them, leading to massless electron behavior.
This work helps scientists predict and find materials with exotic electronic properties for future tech. Antiferromagnets, which are common in nature, can now be tuned to have effects like the anomalous Hall effect, key for magnetic sensors and memory devices.
The abstract doesn't say the work includes experimental validation; it relies on theoretical predictions and first-principles calculations. It applies specifically to inadmissible antiferromagnets without parity-time symmetry, so other materials may not follow. The strain-induced effects are proposed but not demonstrated in practice.
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Heesch Nodal Lines in Inadmissible Achiral Antiferromagnets — Xing-Yao Guo, Chung-Yuen Chan, Zi-Ting Sun et al.
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.