Finsler Geometry Modeling and Monte Carlo Study on Geometrically Confined Skyrmions in Nanodots

TL;DR

This study uses Finsler geometry modeling and Monte Carlo simulations to analyze the stability and morphology of geometrically confined skyrmions in nanodots, revealing confinement effects and strain-induced phenomena.

Contribution

It introduces a Finsler geometry modeling approach to study skyrmions without magnetic anisotropy and provides numerical insights into their stability and morphology.

Findings

Confinement stabilizes skyrmions at low magnetic fields.

Strain effects induce sky and vortex states at zero magnetic field.

Monte Carlo data aligns with experimental observations.

Abstract

Using the Finsler geometry modeling (FG) technique without spontaneous magnetic anisotropy, we numerically study the stability and morphology of geometrically confined skyrmions experimentally observed in nanodots. We find a confinement effect that stabilizes skyrmions for a low external magnetic field without mechanical stresses by decreasing the diameter of the cylindrical lattice and strain effects that cause the sky and vortex to emerge under the zero magnetic field. Moreover, the obtained MC data on the morphological changes are also consistent with the reported experimental data.