论文标题
三角形晶格上的抗铁磁XY模型：拓扑奇异性
The antiferromagnetic XY model on the triangular lattice: topological singularities
论文作者
论文摘要
我们研究了涡流制度中二维三角晶格上抗铁磁XY模型的离散性变异极限。在这个制度中，自旋系统无法克服手性转变的能量障碍，因此两个手性阶段之一是普遍的。我们找到了描述大多数手性阶段自旋场涡流结构的顺序参数，并明确计算了规则能量的$γ$限制，这表明它集中在有限的许多旋转旋转场上有限的涡流样奇点上。
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin system cannot overcome the energetic barrier of chirality transitions, hence one of the two chirality phases is prevalent. We find the order parameter that describes the vortex structure of the spin field in the majority chirality phase and we compute explicitly the $Γ$-limit of the scaled energy, showing that it concentrates on finitely many vortex-like singularities of the spin field.
