New Dimension in Magnetism: 3D and Curvilinear Nanoarchitectures


Low-dimensional magnetic architectures including wires and thin films are key enablers of prospective ultrafast and energy efficient memory, logic, and sensor devices relying on spin-orbitronic and magnonic concepts. Curvilinear magnetism emerged as a novel approach in material science, which allows tailoring of the fundamental anisotropic and chiral responses relying on the geometrical curvature of magnetic architectures.

In collaboration with partners from Germany, Switzerland, Austria, Great Britain, USA, Chile, Italy, we study a number of intriguing effects in curved magnetic wires and curved magnetic films in conventional magnetic materials.

The focus of our fundamental research are new effects, which can be classified using local and global geometric properties of magnetic texture:

  1. Topological patterning is a formation of topologically protected magnetization textures (e.g., topological magnetic solitons like domain walls, skyrmions, merons) in topologically non-trivial curved geometries, supported by the interplay between magnetic subsystem and geometrical aspects of the underlying substrate.

  2. Geometrical magnetochiral effects represent chiral dependent magnetic textures governed by the curved geometry. Here are main directions are: Geometry-induced chiral symmetry breaking, nonlocal magnetochiral symmetry break, topological chiral coupling, manipulation of topologically protected state by mesoscale Dzyaloshinskii-Moriya interaction.

The focus of our applied studies is:

  1. Curvilinear spintronics is engineering of the motion of topological excitations like domain walls and vortices by spin-orbit and spin-transfer torques in curved architectures

  2. Curvilinear magnonics studies geometry-governed effects in the spin-wave propagation for application in magnonic devices

  3. Curvilinear skyrmionics considers current-driven skyrmion motion in a curved nanotrack

  4. Magnetic soft robotics to the moment is limited mostly by magnetically responsive flexible materials like magnetosensitive elastomers. The curvilinear magnetism proposes the coupling between magnetic and mechanical subsystems in elastic ferromagnets.

Curvature-induced effects Applied curvilinear magnetism


Prof. Denis Sheka, Web-page


  1. Joined German-Ukrainian project “Non-Local Chiral Interactions in Corrugated Magnetic Nanoshells”, grant DFG MC 9/22-1 (2020-2025)

  2. Research grant by the program “Magnetism in Ukraine Initiative” (IEEE Magnetics Society and the Science and Technology Center of Ukraine, project number 9918), project entitled “Manipulation of magnetization textures in curved nanowires” (2022-2023)

Selected publications:


[1] D. Makarov, D. D. Sheka “Curvilinear Micromagnetism: From Fundamentals to Applications”, Springer (2022) (


[2] D. D. Sheka, O. V. Pylypovskyi, O. M. Volkov, K. V. Yershov, V. P. Kravchuk, D. Makarov, “Fundamentals of Curvilinear Ferromagnetism: Statics and Dynamics of Geometrically Curved Wires and Narrow Ribbons” (Review), Small 18 2105219 (2022) (

[3] D. D. Sheka. “A perspective on curvilinear magnetism” (Review), Appl. Phys. Lett., 118 230502 (2021) (

Research papers:

[4] Oleksii M. Volkov, Daniel Wolf, Oleksandr V. Pylypovskyi, Attila Kakay, Denis D. Sheka, Bernd Büchner, Jürgen Fassbender, Axel Lubk, Denys Makarov. Chirality coupling in topological magnetic textures with multiple magnetochiral parameters, Nature Communications 14, P. 1491 (2023) (

[5] N. Hedrich, K. Wagner, O. V. Pylypovskyi, B. J. Shields, T. Kosub, D. D. Sheka, D. Makarov, P. Maletinsky, “Nanoscale mechanics of antiferromagnetic domain walls”, Nature Physics, 17, 574 (2021) (

New Dimension in Magnetism: 3D and Curvilinear Nanoarchitectures