Mathematical modeling of skyrmion shape deformation under uni-axial stresses

Abstract

Skyrmion is a topologically stable spin texture and expected to be applied to the future computer memory. On the semiconductors such as FeGe and MnSi, the skyrmion configuration is stable in the sense that it is not strongly affected by a small variation of external stimuli such as temperature, magnetic field etc. In recent experiments, it was reported that the skymion shape is deformed from isotropic (or circular shape) to anisotropic (or elliptic shape) by an external mechanical stress. This shape deformation is caused by the so-called “strain-induced anisotropy (SIA)” of Dzyaloshinskii-Moriya interaction (DMI). In this presentation, we study the reason why this SIA appears in the DMI coefficient on the basis of Finsler geometry modeling technique by introducing a microscopic strain field τ, which is caused by or interacts with the applied external mechanical force.