论文标题
在沮丧的海森伯格抗铁磁铁中与dzyaloshinskii-moriya相互作用的Skyrmion晶体相的形成和生长
Formation and growth of skyrmion crystal phase in a frustrated Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
我们研究了在外部磁场的情况下，在带有dzyaloshinskii-Moriya相互作用（DMI）的三角形晶格上，在沮丧的反铁磁海森贝格模型中研究了天际晶体（SKX）相的形成和生长。我们在温度场参数平面上构建相图，其中具有一阶相变和三智度点，并以增加的DMI强度来研究它们的演变。发现已经相对较小的DMI强度可以导致在剩余的螺旋螺旋，Coplanar上下倒下和类似涡流的有序相的会议点附近的低温下SKX相的出现。通过平行回火（PT）Monte Carlo算法，我们发现Skyrmion阶段出现的DMI的最小值（$ d_t \ 0.02 $）是先前报道的一个数量级。我们证明了PT在不同阶段之间的相边界的可靠和精确位置中的效率，而不同相位的相位边界则是非常大的（强一阶转变）或几乎无法检测到的能源屏障，在这种情况下，标准的Monte Carlo方法可能很容易找到稳定的解决方案。
We study the formation and growth of a skyrmion crystal (SkX) phase in a frustrated antiferromagnetic Heisenberg model on a triangular lattice with Dzyaloshinskii-Moriya interaction (DMI) in the presence of an external magnetic field. We build phase diagrams in the temperature-field parameter plane, featuring first-order phase transitions and tricritical points, and study their evolution with the increasing DMI strength. It is found that already relatively small DMI intensity can lead to the appearance of the SkX phase at low temperatures in the vicinity of the meeting point of the remaining helical, coplanar up-up-down, and vortical-like ordered phases. By means of a parallel tempering (PT) Monte Carlo algorithm we find that the minimum value of DMI, at which the skyrmion phase emerges, $D_t \approx 0.02$, is one order of magnitude smaller then previously reported. We demonstrate the efficiency of PT in reliable and precise location of the phase boundaries between different phases separated by either very large (strong first-order transition) or barely detectable energy barriers, where the standard Monte Carlo approach may easily fail to find a stable solution.
