AI 中文总结
该研究将XY模型的拓扑缺陷思路拓展至二维海森堡模型，经高低温展开计算发现其拓扑荷涨落高温区与面积成正比、低温区符合周长定律。
AI 中文摘要
众所周知，二维XY模型中的KT相变由拓扑缺陷的结合与解离驱动，可通过区域内拓扑荷的涨落表征。我们将该思路拓展至二维海森堡模型，分别通过高温展开与低温展开计算其拓扑荷涨落。研究发现，高温下拓扑荷涨落与区域面积成正比，低温下则满足周长定律。
英文摘要
It is well known that KT transition in 2d XY model is driven by the binding and unbinding of topological defects, which can be characterized by the fluctuation of topological charges inside a region. We extend the idea into the 2d Heisenberg model and calculate the fluctuation through high-temperature and low-temperature expansion respectively. It is found that the fluctuation of topological charges is proportional to the area of the region at high temperatures while obeys the perimeter law at low temperatures.
Comments16 pages, 8 figures
