论文标题
Skyrmion Crystal $ d_ {3h} $ point组：平面外Dzyaloshinskii-Moriya互动的角色
Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
dzyaloshinkii-moriya（DM）相互作用源自非中心对称磁体中相对论的自旋轨道耦合，是拓扑自旋纹理的来源。从理论上讲，我们通过关注与极性和手性型DM相互作用的平面外DM相互作用的作用来研究Skyrmion晶体的可能性。通过在属于$ d_ {3h} $点组的三角形晶格上执行自旋模型的模拟退火，我们在应用磁场中构造了低温磁相图。结果，我们发现在平面内和平面磁场下，对不同的天际晶体的不稳定性，稳定SKX的关键成分根据磁场方向而有所不同。 SKX在平面内磁场的平面外DM相互作用下稳定，而通过为脱机磁场引入易于轴各向异性，可以稳定下来。我们还讨论了在脱离平面DM相互作用的情况下Skyrmion Crystals以外可能的多重Q $状态。我们的结果表明，非平面外DM相互作用的非中心对称磁性材料是托管Skyrmion晶体的潜在候选者。
The Dzyaloshinkii-Moriya (DM) interaction that originates from relativistic spin-orbit coupling in noncentrosymmetric magnets is a source of topological spin textures. We theoretically investigate the possibility of a skyrmion crystal by focusing on the role of the out-of-plane DM interaction that is different from the polar- and chiral-type DM interaction. By performing the simulated annealing for a spin model on a triangular lattice belonging to the $D_{3h}$ point group, we construct low-temperature magnetic phase diagrams in an applied magnetic field. As a result, we find the instability toward different skyrmion crystals under in-plane and out-of-plane magnetic fields, where the key ingredients to stabilize the SkX are different according to the magnetic field direction; the SkX is stabilized under the out-of-plane DM interaction for the in-plane magnetic field, while it is stabilized by additionally introducing an easy-axis anisotropy for the out-of-plane magnetic field. We also discuss the possible multiple-$Q$ states other than the skyrmion crystals in the presence of the out-of-plane DM interaction. Our result indicates that noncentrosymmetric magnetic materials with the out-of-plane DM interaction are potential candidates to host the skyrmion crystals.
