Finsler geometry modeling and Monte Carlo study of skyrmion shape deformation by uniaxial stress

Skyrmions in chiral magnetic materials are topologically stable and energetically balanced spin configurations appearing under the presence of ferromagnetic interaction (FMI) Dzyaloshinskii-Moriya (DMI). Much current interest has focused on effects magneto-elastic coupling these interactions mechanical stimuli, such as uniaxial stresses for future applications spintronics devices. Recent studies suggest that skyrmion shape deformations thin films attributed to an anisotropy coefficient DMI, $D_{x}\!\not=\!D_{y}$, which makes ratio $\lambda/D$ anistropic, where FMI $\lambda$ is isotropic. It also possible $\lambda_{x}\!\not=\!\lambda_{y}$ while $D$ isotropic be anisotropic. In this paper, we study problem using a new modeling technique constructed based Finsler geometry (FG). Two FG models examined: first (second) model, prescription applied (DMI) Hamiltonian. We find two different models' results consistent with reported experimental data deformation. responses helical orders lattice corresponding extension/compression clear difference between stripe phase, elucidating DMI deformed anisotropic by stresses.