Impact of curvature-induced Dzyaloshinskii–Moriya interaction on magnetic vortex texture in spherical caps

Author:

Sloika Mykola I.1ORCID,Gaididei Yuri2ORCID,Kravchuk Volodymyr P.23ORCID,Pylypovskyi Oleksandr V.45ORCID,Makarov Denys4ORCID,Sheka Denis D.1ORCID

Affiliation:

1. Taras Shevchenko National University of Kyiv, Kyiv 01601, Ukraine

2. Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv 03143, Ukraine

3. Institut fur Theoretische Festkorperphysik, Karlsruher Institutfur Technologie, D-76I3I, Germany

4. Helmholtz-Zentrum Dresden-Rossendorf e.V., Institute of Ion Beam Physics and Materials Research, Dresden 0I328, Germany

5. Kyiv Academic University, Kyiv 03I42, Ukraine

Abstract

The geometric curvature of nanoscale magnetic shells brings about curvature-induced anisotropy and Dzyaloshinskii–Moriya interaction (DMI). Here, we derive equations to describe the profile of the magnetic vortex state in a spherical cap. We demonstrate that the azimuthal component of magnetization acquires a finite tilt at the edge of the cap, which results in the increase of the magnetic surface energy. This is different compared to the case of a closed spherical shell, where symmetry of the texture does not allow any tilt of magnetization at the equator of the sphere. Furthermore, we analyze the size of the vortex core in a spherical cap and show that the presence of the curvature-induced DMI leads to the increase of the core size independent of the product of the circulation and polarity of the vortex. This is in contrast to the case of planar disks with intrinsic DMI, where the preferred direction of circulation as well as the decrease or increase of the size of vortex core is determined by the sign of the product of the circulation and polarity with respect to the sign of the constant of the intrinsic DMI.

Funder

German Research Foundation

DAAD

the program “Fuzzy continuous quantum measurements” of NAS of Ukraine

the Alexander von Humboldt Foundation

Publisher

AIP Publishing

Subject

General Physics and Astronomy,Physics and Astronomy (miscellaneous)

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