Tyndall: Curvilinear magnets as a modern approach for material design

This is a reference list to the talk I’m giving in Tyndall National Institute, Cork, Ireland on July 17, 2026.

Talk title: Curvilinear magnets as a modern approach for material design

The key references

• Makarov, Pylypovskyi, Xu, Ortix
  Shape, strain and spin texture as a modern triad for magnetic material
  Nature Nanotechnology (2026), in press. Link will be added after publishing
  • Review on recent progress of curvilinear magnetism and introduction of the concept of the metageometric material design: construction of magnetic superlattices that have properties distinct from their material
• Olha Bezsmertna, Rui Xu, Oleksandr Pylypovskyi, David Raftrey, Andrea Sorrentino, Jose Angel Fernandez-Roldan, Ivan Soldatov, Daniel Wolf, Axel Lubk, Rudolf Schäfer, Peter Fischer and Denys Makarov
  Magnetic Solitons in Hierarchical 3D Magnetic Nanoarchitectures of Nanoflower Shape
  Nano Letters, 24, 15774 (2024) http://dx.doi.org/10.1021/acs.nanolett.4c04584
  • Inch-scale curvilinear nanomembranes fabricated by means of anodized Aluminium oxide (AAO) templates. We designed a square array of nanoflowers as the free-standing 50-nm-thick Permalloy nanomembrane
• Gianluca Gubbiotti, Olha Bezsmertna, Oleksandr V. Pylypovskyi, Rui Xu, Stéphane Chiroli, Fatih Zighem, Claudia Fernández González, Andrea Sorrentino, David Raftrey, Daniel Wolf, Axel Lubk, Peter Fischer, Damien Faurie and Denys Makarov
  Curvilinear Magnonic Crystal Based on 3D Hierarchical Nanotemplates
  Nano Letters, 26, 1561-1568 (2026) https://doi.org/10.1021/acs.nanolett.5c06216
  • Brillouin light scattering (BLS) measurements on curvilinear AAO templates of square symmetry
• Ortix, C. and van den Brink, J.
  Magnetoelectricity induced by rippling of magnetic nanomembranes and wires
  Physical Review Research, 5, L022063 (2023) http://dx.doi.org/10.1103/physrevresearch.5.l022063
  • The idea of the geometry-driven multipolar magnets and magnetoelectric symmetries introduced
• Volkov, O. M., Wolf, D., Pylypovskyi, O. V., Kákay, A., Sheka, D. D., Büchner, B., Fassbender, J., Lubk, A. and Makarov, D.
  Chirality coupling in topological magnetic textures with multiple magnetochiral parameters
  Nature Communications, 14, 1491 (2023) https://doi.org/10.1038/s41467-023-37081-z
  • Theoretical and experimental demonstration of the doubling of the magnetochiral parametres characterising magnetic vortex in a Permalloy hemisphere. The key role is played by the interaction of the volume and surface magnetostatic charges.
• Paola Gentile, Mario Cuoco, Oleksii M. Volkov, Zu-Jian Ying, Ivan J. Vera-Marun, Denys Makarov and Carmine Ortix
  Electronic materials with nanoscale curved geometries
  Nature Electronics, 5, 551-563 (2022) http://dx.doi.org/10.1038/s41928-022-00820-z
  • Review on the curvilinear condensed matter that includes not only curvilinear magnetism, but also effects of geometry in electronic systems

Supplementary references

Ferromagnetic spintronics

• Parkin, S. S. P., Hayashi, M. and Thomas, L.
  Magnetic Domain-Wall Racetrack Memory
  Science, 320, 190–194 (2008) http://dx.doi.org/10.1126/science.1145799
  • Concept of a ferromagnetic racetrack memory on domain walls and introduction of a 3D U-shaped racetracks
• Farinha, A. M. A., Yang, S., Yoon, J., Pal, B. and Parkin, S. S. P.
  Interplay of geometrical and spin chiralities in 3D twisted magnetic ribbons
  Nature, 639, 67-72 (2025) https://doi.org/10.1038/s41586-024-08582-8
  • Experimental realization of a curvilinear magnetic domain racetrack
• Milde, P., Köhler, D., Seidel, J., Eng, L. M., Bauer, A., Chacon, A., Kindervater, J., Mühlbauer, S., Pfleiderer, C., Buhrandt, S., Schütte, C. and Rosch, A.
  Unwinding of a Skyrmion Lattice by Magnetic Monopoles
  Science, 340, 1076-1080 (2013) https://doi.org/10.1126/science.1234657
  • Interaction of skyrmion strings via creation of 3D monopolar magnetic textures & Bloch lines
• Wang, Q., Chumak, A. V. and Pirro, P.
  Inverse-design magnonic devices
  Nature Communications, 12, 2636 (2021) https://doi.org/10.1038/s41467-021-22897-4
  • Inverse-design magnonic devices relying on the specific pattern of the waveguide
• Grubišic-Cabo, A., Guimarães, M. H. D., Afanasiev, D., Garcia Aguilar, J. H., Aguilera, I., Ali, M. N., Bhattacharyya, S., Blanter, Y. M., Bosma, R., Cheng, Z., Dan, Z., Dash, S. P., Medina Dueñas, J., Fernandez-Rossier, J., Gibertini, M., Grytsiuk, S., Houmes, M. J. A., Isaeva, A., Knekna, C., Kole, A. H., Kurdi, S., Lado, J. L., Mañas-Valero, S., Lopes, J. M. J., Marian, D., Na, M., Pabst, F., Barquero Pierantoni, S., Regout, M., Reho, R., Rösner, M., Sanz, D., van der Sar, T., Sławinska, J., Verstraete, M. J., Waseem, M., van der Zant, H. S. J., Zanolli, Z. and Soriano, D.
  Roadmap on quantum magnetic materials
  2D Materials, 12, 031501 (2025) https://doi.org/10.1088/2053-1583/adbe89
  • Review on the quantum magnetic materials

Antiferromagnetic spintronics

• Wadley, P., Howells, B., Zelezný, J., Andrews, C., Hills, V., Campion, R. P., Novak, V., Olejnik, K., Maccherozzi, F., Dhesi, S. S., Martin, S. Y., Wagner, T., Wunderlich, J., Freimuth, F., Mokrousov, Y., Kuneš, J., Chauhan, J. S., Grzybowski, M. J., Rushforth, A. W., Edmonds, K. W., Gallagher, B. L. and Jungwirth, T.
  Electrical switching of an antiferromagnet
  Science, 351, 587-590 (2016) https://doi.org/10.1126/science.aab1031
  • Demonstration of the manipulation of the magnetic state of CuMnAs by electric currents
• Reimers, S., Kriegner, D., Gomonay, O., Carbone, D., Krizek, F., Novák, V., Campion, R. P., Maccherozzi, F., Björling, A., Amin, O. J., Barton, L. X., Poole, S. F., Omari, K. A., Michalička, J., Man, O., Sinova, J., Jungwirth, T., Wadley, P., Dhesi, S. S. and Edmonds, K. W.
  Defect-driven antiferromagnetic domain walls in CuMnAs films
  Nature Communications, 13, 724 (2022) http://dx.doi.org/10.1038/s41467-022-28311-x
  • Also CuMnAs: formation of the domain walls
• Kosub, T., Kopte, M., Hühne, R., Appel, P., Shields, B., Maletinsky, P., Hübner, R., Liedke, M. O., Fassbender, J., Schmidt, O. G. and Makarov, D.
  Purely antiferromagnetic magnetoelectric random access memory
  Nature Communications, 8, 13985 (2017) https://doi.org/10.1038/ncomms13985
  • Electrically controlled antiferromagnetic memory unit cell based on Cr₂O₃
• Mashkovich, E. A., Grishunin, K. A., Dubrovin, R. M., Zvezdin, A. K., Pisarev, R. V. and Kimel, A. V.
  Terahertz light–driven coupling of antiferromagnetic spins to lattice
  Science, 374, 1608-1611 (2021) http://dx.doi.org/10.1126/science.abk1121
  • Ultrafast dynamics in CoF₂
• Barker, J. and Tretiakov, O. A.
  Static and Dynamical Properties of Antiferromagnetic Skyrmions in the Presence of Applied Current and Temperature
  Physical Review Letters, 116, 147203 (2016) http://dx.doi.org/10.1103/PhysRevLett.116.147203
  • Dynamics of antiferromagnetic skyrmion: the first demonstration of the absence of the Magnus effect for them
• Jing, K. Y., Wang, C. and Wang, X. R.
  Random walk of antiferromagnetic skyrmions in granular films
  Physical Review B, 103, 174430 (2021) http://dx.doi.org/10.1103/physrevb.103.174430
  • Antiferromagnetic skyrmion dynamics in a granular medium

Magnetoelectric and multipolar phenomena

• Spaldin, N. A., Fiebig, M. and Mostovoy, M.
  The toroidal moment in condensed-matter physics and its relation to the magnetoelectric effect
  Journal of Physics: Condensed Matter, 20, 434203 (2008) http://dx.doi.org/10.1088/0953-8984/20/43/434203
  • Review on ferrotoridal ordering in condensed matter. Multipolar expansion explained.
• Spaldin, N. A.
  Analogy between the Magnetic Dipole Moment at the Surface of a Magnetoelectric and the Electric Charge at the Surface of a Ferroelectric
  Journal of Experimental and Theoretical Physics, 132, 493-505 (2021) http://dx.doi.org/10.1134/s1063776121040208
  • Theoretical analysis of Cr₂O₃ as a monopolar magnetoelectric antiferromagnet in the ground state

Curvilinear magnetism

• Raftrey, D., Bhattacharya, D., Langton, C., Fugetta, B. J., Satapathy, S., Bezsmertna, O., Sorrentino, A., Makarov, D., Yin, G., Fischer, P. and Liu, K.
  Curvature Induced Modifications of Chirality and Magnetic Configuration in Perpendicular Films
  ACS Nano, 19, 31609-31618 (2025) https://doi.org/10.1021/acsnano.5c08926
  • 3D magnetic nanomembranes with the perpendicular anisotropy following the surface normal
• Xu, M., Deenen, A. J. M., Guo, H., Morales-Fernández, P., Wintz, S., Zhakina, E., Weigand, M., Donnelly, C. and Grundler, D.
  Geometry-induced spin chirality in a non-chiral ferromagnet at zero field
  Nature Nanotechnology, 21, 58-64 (2026) https://doi.org/10.1038/s41565-025-02055-3
  • Shape-anisotropy-driven phenomena in a curvilinear magnet with the geometrically-induced magnetochiral phenomena

Geometric symmetry breaks

• Sheka, D. D., Pylypovskyi, O. V., Landeros, P., Gaididei, Y., Kákay, A. and Makarov, D.
  Nonlocal chiral symmetry breaking in curvilinear magnetic shells
  Communications Physics, 3, 128 (2020) https://doi.org/10.1038/s42005-020-0387-2
  • Discussion of nonlocal symmetry break induced by the magnetostatic interaction. Introduction of the tangential magnetostatic charges and language of the covariant derivatives to understand the phenomena in curvilinear thin magnetic shelss.
• Otálora, J. A., Yan, M., Schultheiss, H., Hertel, R. and Kákay, A.
  Curvature-Induced Asymmetric Spin-Wave Dispersion
  Physical Review Letters, 117, 227203 (2016) https://doi.org/10.1103/physrevlett.117.227203
  • Theoretical demonstration of the nonlocal symmetry break in the spin wave propagation along the ferromagnetic nanotube Yershov, K. V., Kravchuk, V. P., Sheka, D. D. and Gaididei, Y.
    Curvature-induced domain wall pinning
    Physical Review B, 92, 104412 (2015) http://link.aps.org/doi/10.1103/PhysRevB.92.104412
  • Theoretical demonstration of the geometry-driven pinning of the domain wall in a parabolic nanowire
• Volkov, O. M., Kákay, A., Kronast, F., Mönch, I., Mawass, M., Fassbender, J. and Makarov, D.
  Experimental Observation of Exchange-Driven Chiral Effects in Curvilinear Magnetism
  Physical Review Letters, 123, 077201 (2019) https://doi.org/10.1103/PhysRevLett.123.077201
  • Experimental demonstration of the geometry-driven phenomena in a parabolic stripe
• Pylypovskyi, O. V., Borysenko, Y. A., Fassbender, J., Sheka, D. D. and Makarov, D.
  Curvature-driven homogeneous Dzyaloshinskii–Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains
  Applied Physics Letters, 118, 182405 (2021) https://doi.org/10.1063/5.0048823
  • Geometry-driven phenomena specific for antiferromagnetic spin chains: weak ferromagnetic response and homogeneous Dzyaloshinskii-Moriya interaction

Effects of topology

• Kravchuk, V. P., Rößler, U. K., Volkov, O. M., Sheka, D. D., van den Brink, J., Makarov, D., Fuchs, H., Fangohr, H. and Gaididei, Y.
  Topologically stable magnetization states on a spherical shell: Curvature-stabilized skyrmions
  Physical Review B, 94, 144402 (2016) http://link.aps.org/doi/10.1103/PhysRevB.94.144402
  • Topology-driven phenomena in the radially magnetized nanospheres
• Sloika, M. I., Sheka, D. D., Kravchuk, V. P., Pylypovskyi, O. V. and Gaididei, Y.
  Geometry induced phase transitions in magnetic spherical shell
  Journal of Magnetism and Magnetic Materials, 443, 404–412 (2017) https://doi.org/10.1016/j.jmmm.2017.07.036
  • Topology-driven phenomena in the magnetically soft nanospheres
• Volkov, O. M., Pylypovskyi, O. V., Porrati, F., Kronast, F., Fernandez-Roldan, J. A., Kákay, A., Kuprava, A., Barth, S., Rybakov, F. N., Eriksson, O., Lamb-Camarena, S., Makushko, P., Mawass, M., Shakeel, S., Dobrovolskiy, O. V., Huth, M. and Makarov, D.
  Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes
  Nature Communications, 15, 2193 (2024) https://doi.org/10.1038/s41467-024-46403-8
  • Generalization of the impact of topology on magnetic states in magnetically soft samples in terms of the surface genus and it’s experimental demonstration

Effects of strain

• Qiao, L., Sladek, J., Sladek, V., Kaminskiy, A. S., Pyatakov, A. P. and Ren, W.
  Curvature-induced magnetization in a CrI₃ bilayer: Flexomagnetic effect enhancement in van der Waals antiferromagnets
  Physical Review B, 109, 014410 (2024) http://dx.doi.org/10.1103/physrevb.109.014410
  • Demonstration of the strain-gradient effects in curvlinear 2D magnets

Soft robot dynamics

• Oliveros‐Mata, E. S., Pylypovskyi, O. V., Raimondo, E., Illing, R., Zabila, Y., Guo, L., Mu, G., Navarro López, M., Wang, X., Tzortzinis, G., Filippatos, A., Cañón Bermúdez, G. S., Garesci, F., Finocchio, G. and Makarov, D.
  Field‐Programable Dynamics in a Soft Magnetic Actuator Enabling True Random Number Generation and Reservoir Computing
  Advanced Intelligent Systems, e70432 (2026) https://doi.org/10.1002/aisy.70432
  • Complex dynamics of magnetic soft robots due to intrinsic nonlinearity of the mechanical and magnetic system

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