The relation between the radii and the densities of magnetic skyrmions

TL;DR

This paper investigates the relationship between the radii and densities of magnetic skyrmions through theoretical analysis and lattice simulations, providing a predictive function useful for skyrmion-based memory device development.

Contribution

It introduces an explicit function linking skyrmion radius with material parameters, magnetic field, and density, verified through simulations.

Findings

Derived an explicit formula for skyrmion radius as a function of key parameters.

Validated the formula with lattice simulation results.

Facilitates prediction of skyrmion size for memory device design.

Abstract

Compared with the traditional magnetic bubble, skyrmion has smaller size, better stability therefore is considered as a very promising candidate for future memory devices. When skyrmions are manipulated, erased and created, the density of skyrmions can be varied, however the relationship between the radii and the densities of skyrmions needs more exploration. In this paper, we study this problem both theoretically and by using the lattice simulation. The average radius of skyrmions as a function of material parameters, the strength of external magnetic field and the density of skyrmions is obtained and verified. With this explicit function, the skyrmion radius can be easily predicted, which is helpful for the future study of skyrmion memory devices.