Curvilinear magnetic meso- and nanoarchitectures

Abstract: The existence of a link between sample geometry and its intrinsic ordering is known for electronic states and superconducting or magnetic order parameters at the nanoscale [1,2]. The primary focus of this talk is on ferro- and antiferromagnetic systems. Beyond pure boundary effects such as the formation of vortex states in magnetically soft nanodots, finite curvature at the nanoscale modifies the accessible magnetic material response by introducing broken spatial symmetries. For example, the lifting of inversion symmetry is perceived by the magnetic state as a finite, geometry-driven Dzyaloshinskii–Moriya interaction [3]. Furthermore, the global magnetic state necessarily inherits the signatures of the topology of the sample’s shape [4]. Accounting for time-reversal symmetry — which can be broken by the magnetic texture over the geometric unit cell in a superlattice of repeating magnetic elements — paves the way towards curvilinear magnetoelectrics that can be understood in terms of emerging magnetoelectric multipoles [5,6]. We dub this new area in the development of curvilinear magnetism metageometric material design [7]. Metageometric materials allow for the design of the mesoscale material responses beyond fine chemical tuning at the nanoscale through the selection of the proper shape of the geometric unit cell. The emerging functionalities can be helpful for the design of electronic devices and sensorics, magnetic microbots for biomedical applications, as well as soft robotics and flexible magnetoelectronics for soft computing and wearable magnetoelectronics [8].

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[7] D. M. Makarov, O. V. Pylypovskyi, R. Xu and C. Ortix. Nat. Nanotech. (in press)
[8] E. S. Oliveros-Mata, O. V. Pylypovskyi, E. Raimondo, et al. Adv. Int. Syst. (in press) ArXiv:2511.2321