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Magnetoelectric Classification of Skyrmions

Sayantika Bhowal* and Nicola A. Spaldin

  • Materials Theory, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland

  • *Corresponding author. sayantika.bhowal@mat.ethz.ch
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Phys. Rev. Lett. 128, 227204 – Published 3 June, 2022

DOI: https://doi.org/10.1103/PhysRevLett.128.227204

Abstract

We develop a general theory to classify magnetic skyrmions and related spin textures in terms of their magnetoelectric multipoles. Since magnetic skyrmions are now established in insulating materials, where the magnetoelectric multipoles govern the linear magnetoelectric response, our classification provides a recipe for manipulating the magnetic properties of skyrmions using applied electric fields. We apply our formalism to skyrmions and antiskyrmions of different helicities, as well as to magnetic bimerons, which are topologically, but not geometrically, equivalent to skyrmions. We show that the nonzero components of the magnetoelectric multipole and magnetoelectric response tensors are uniquely determined by the topology, helicity, and geometry of the spin texture. Therefore, we propose straightforward linear magnetoelectric response measurements as an alternative to Lorentz microscopy for characterizing insulating skyrmionic textures.

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Phys. Rev. Lett. 128, 227204– Published 3 June, 2022
  • Received 17 January 2022
  • Accepted 6 May 2022
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