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arXiv · 2609.31171

Modern triad for magnetic material science: geometric shape, electronic bands and spin textures

Denys Makarov·Oleksandr Pylypovskyi·Rui Xu·Carmine Ortix
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Abstract

To enable novel concepts in nanotechnologies, it is insightful to design materials with qualitatively new performances originating from recent discoveries in fundamental material science and physics. Curvilinear magnetism emerged as a tool to design chiral and anisotropic responses of materials at the nanoscale using the effects of the geometric shape and topology of the object. This concept is distinct yet complementary to material screening, which is primarily based on the optimization of intrinsic microscopic properties to modify magnetic textures for specific applications. Contemporary curvilinear magnetism focuses on mean-field micromagnetics, while the explicit contribution of the lattice structure and electronic degrees of freedom remains beyond consideration. In this review, we will emphasize on the effects which appear when this coupling is accounted for and that have resulted in novel concepts for the design of ``metageometric'' materials. Further development of this field will provide appealing technological prospects for fundamental understanding of curvilinear magnetic nanostructures and their applications in energy efficient and scalable nanoelectronics.

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Denys Makarov, Oleksandr Pylypovskyi, Rui Xu, Carmine Ortix. 2026-09-25. Modern triad for magnetic material science: geometric shape, electronic bands and spin textures. https://doi.org/10.1038/s41565-026-02232-y

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