Compared with the traditional magnetic bubble, a skyrmion has a smaller size, and better stability and 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 the 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.

与传统的磁泡相比，斯格明子体积更小，稳定性更好，因此被认为是未来存储器件的一个非常有前途的候选者。当操作、擦除和创建斯格明子时，斯格明子的密度可以改变，但是半径和斯格明子密度之间的关系需要更多探索。在本文中，我们从理论上和使用晶格模拟来研究这个问题。获得并验证了作为材料参数、外部磁场强度和斯格明子密度函数的斯格明子的平均半径。有了这个显式函数，可以很容易地预测斯格明子半径，这有助于未来斯格明子存储器件的研究。