三重对称性的局部破缺与畴壁渗流
Partial Breaking of Three-Fold Symmetry via Percolation of a Domain Wall
摘要：
我们发现，涡弦的抑制分裂的有序-无序过渡的三态Potts铁磁体在一个简单的立方晶格，并开辟了一个中间阶段，其特征在于部分打破的三重对称性和长程序。相反，在正方形晶格上的相同模型中抑制涡旋导致具有增强的U（1）对称性和准长程序的中间相。我们发现，这两个阶段之间的差异源于不同的畴壁增殖模式。一个畴壁，分开两个人口最多的自旋状态，在前一个阶段，但在后者仍然在渗流阈值上。
英文摘要：
We show that suppression of vortex strings splits the order-disorder transition in the three-state Potts ferromagnet on a simple cubic lattice and opens up an intermediate phase characterized by partial breaking of the three-fold symmetry and long-range order. In contrast, suppression of vortices in the same model on a square lattice results in an intermediate phase with enhanced U(1) symmetry and quasi-long-range order. We show that the difference between the two phases originates from distinct patterns of domain wall proliferation. A domain wall, separating the two most populous spin states, percolates on its own in the former phase but remains at a percolation threshold in the latter.
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