We extend the study of topological magnetisms to quasi-one-dimensional chiral geometries, revealing a symmetry-guided pathway to Dzyaloshinskii–Moriya interactions (DMI) and enabling the design of high-density spintronic devices. Utilizing symmetry analysis, a general strategy is proposed for inducing Bloch-type DMI in chiral geometries warped by low-dimensional magnets. By combining first-principles calculations, we demonstrate our concept in various chiral geometries, e.g., chiral nanoribbon and nanotubes, which are composed of quasi-one-dimensional ${\mathrm{CrBr}}_2$ nanoribbon and two-dimensional magnets with different crystal symmetries, including CrN, transition metal dichalcogenides, VSe, ${\mathrm{CrI}}_3$, and ${\mathrm{Cr}}_2{\mathrm{Se}}_3$. More interestingly, we find that the chirality of Bloch-type DMI can be closely coupled with the helical direction of the chiral geometry. Our atomistic spin dynamics study using Monte Carlo simulation is performed on chiral ${\mathrm{VS}}_2$ nanotube as an example, in which Bloch-type domain walls with opposite chirality arising from Bloch-type DMI can be stabilized via opposite chirality indices (n, m) and (m, n). Our results that chiral geometry induces DMI in a broad range of 2D magnets, enabling topological magnetisms, pave the way for the development of geometry-driven spintronic devices.

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• Dzyaloshinskii-Moriya interaction
• Skyrmions
• Spin texture
• 1-dimensional systems
• Chiral magnets
• Chiral symmetry