论文标题
磁空的相变阈值和稳定性
Phase transition threshold and stability of magnetic skyrmions
论文作者
论文摘要
我们检查了磁性材料中磁化的涡流状构型的稳定性，即所谓的磁性天空。这些对应于Landau-Lifshitz能量的临界点，以及Dzyaloshinskii-Moriya（DM）相互作用。在Döring和Melcher的早期工作中，众所周知，当DM项的系数很小时，Skyrmion是基态。在本文中，我们证明了该系数的明确临界值，而天空不稳定，而稳定的阈值则低于此阈值。此外，我们表明，在不稳定的制度中，通过具有一种螺旋构型的明确反例，可以在下面的能量限制。该数学上解释了在某些实验中观察到的相变的发生。
We examine the stability of vortex-like configuration of magnetization in magnetic materials, so-called the magnetic skyrmion. These correspond to critical points of the Landau-Lifshitz energy with the Dzyaloshinskii-Moriya (DM) interactions. In an earlier work of the Döring and Melcher, it is known that the skyrmion is a ground state when the coefficient of the DM term is small. In this paper, we prove that there is an explicit critical value of the coefficient above which the skyrmion is unstable, while stable below this threshold. Moreover, we show that in the unstable regime, the infimum of energy is not bounded below, by giving an explicit counterexample with a sort of helical configuration. This mathematically explains the occurrence of phase transition observed in some experiments.
