Abstract
A magnetic skyrmion lattice is a microstructure consisting of hexagonally aligned skyrmions. While a skyrmion as a topologically protected carrier of information promises a number of applications, an easily accessible probe of the skyrmion and skyrmion lattice at mesoscopic scale is of significance. It is known that neutron scattering, Lorentz transmission electron microscopy, and spin-resolved STM as effective probes of skyrmions have been established. In this work, we propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane (xy) Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice. The phase field and Monte Carlo simulations are employed to develop the one-to-one correspondence between the magnetic skyrmion lattice and dielectric dipole lattice, both exhibiting the hexagonal symmetry. Under excitation of in-plane electric field in the microwave range, the dielectric permittivity shows the dumbbell-like pattern with the axis perpendicular to the electric field, while it is circle-like for the electric field along the z-axis. The dependences of the spatial contour of dielectric permittivity on external magnetic field along the z-axis and dielectric frequency dispersion are discussed.
Highlights
A magnetic skyrmion lattice is a microstructure consisting of hexagonally aligned skyrmions
We propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice
The Lorentz transmission electron microscopy (LTEM), small angle neutron scattering (SANS), and spin-resolved scanning tunneling microscopy (SR-STM) studies on Cu2OSeO3 thin films and bulk crystals revealed the existence of SkX6–8
Summary
A magnetic skyrmion lattice is a microstructure consisting of hexagonally aligned skyrmions. Due to the multiferroicity found in Cu2OSeO3, as done in the pioneer work of Seki et al[3,7,9,10,11], one is able to deal with the dielectric/ferroelectric behaviors and spin ordering correlated with SkX as well as its dynamics from various aspects, no need to mention that the dielectric/ferroelectric spectroscopy of SkX in these materials is highly favored too. This is one of the major motivations for the present work. Recent investigation along this line by Seki et al on Cu2OSeO3 represents a substantial forward step[17,18]
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