Geometry-governed effects in curvilinear magnetism

SPICE Workshop on Nanomagnetism in 3D, April 30th - May 2nd 2024

Denis Sheka

The onrush of nanotechnologies extended conventional flat architectures to curved space, showcasing the fundamental importance of the mutual interplay between geometry, topology and the order parameter. In the case of magnetism a mutual interplay of magnetization texture (material properties), curvature, and topology (geometrical properties) becomes a playground for curvilinear magnetism [1]. By tailoring curvature and topology of the conventional magnetic materials there appears a possibility to control material response leading to modification or even launching new functionalities [2–4]. This is granted by complementary expertise and advances of fundamental researched, materials sciences and technologies.
This talk focuses on the peculiarities emerging from geometrically curved magnetic objects, includ- ing 3D bent and twisted curved wires and films. The curvilinear geometry manifests itself in emergent interactions. These geometry-governed interections can be local driven by exchange and stemming from local curvature and torsion [5, 6] or stemming from the varying cross-section [7], but also can be non- local driven by magnetostatics and supported by topology [8, 9]. As a consequence, family of novel geonetry-governed effects emerge, which include magnetochiral effects and topological patterning, re- sulting in theoretically predicted domain wall automotion, unlimited domain wall velocities, chirality symmetry breaking, mesoscale DMI etc. Current and future challenges of the curvilinear magnetism will be discussed.
References
[1] Makarov D and Sheka D (eds) 2022 Curvilinear Micromagnetism: From Fundamentals to Applica- tions (Topics in Applied Physics vol 146) (Springer Nature Switzerland) ISBN 9783031090851 URL https://link.springer.com/book/10.1007/978-3-031-09086-8
[2] Sheka D D, Pylypovskyi O V, Volkov O M, Yershov K V, Kravchuk V P and Makarov D 2022 Small 18 2105219 URL https://doi.org/10.1002/smll.202105219
[3] Makarov D, Volkov O M, Ka ́kay A, Pylypovskyi O V, Budinska ́ B and Dobrovolskiy O V 2022 Advanced Materials 34 2101758 URL https://doi.org/10.1002/adma.202101758
[4] Sheka D D 2023 Curvilinear magnetism Encyclopedia of Materials: Electronics (Elsevier) pp 760– 776
[5] Gaididei Y, Kravchuk V P and Sheka D D 2014 Physical Review Letters 112(25) 257203 URL http://link.aps.org/doi/10.1103/PhysRevLett.112.257203
[6] ShekaDD,KravchukVPandGaidideiY2015JournalofPhysicsA:MathematicalandTheoretical 48 125202 URL http://stacks.iop.org/1751-8121/48/i=12/a=125202
[7] Yershov K V and Sheka D D 2023 Physical Review B 107(10) L100415 URL https://link. aps.org/doi/10.1103/PhysRevB.107.L100415
[8] Sheka D D, Pylypovskyi O V, Landeros P, Gaididei Y, Ka ́kay A and Makarov D 2020 Communica- tions Physics 3 128 URL https://doi.org/10.1038/s42005-020-0387-2
[9] Volkov O M, Wolf D, Pylypovskyi O V, Ka ́kay A, Sheka D D, Bu ̈chner B, Fassbender J, Lubk A and Makarov D 2023 Nature Communications 14 1491