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摘要翻译：
我们数值研究了负曲率七边形晶格中XY模型的相变性质，并与其他相互作用结构如平面二维正方形晶格和小世界网络进行了比较。虽然与小世界网络结构一样，七边形晶格具有很短的特征路径长度，但通过计算Binder累积量发现，前者表现为零温相变，而后者表现为均场性质的有限温相变。通过计算低温近似下的涡旋密度和关联函数，我们发现相变的缺失是由于强自旋波型涨落，并与通常的2D XY模型进行了讨论。
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英文标题：
《Phase Transition of XY Model in Heptagonal Lattice》
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作者：
Seung Ki Baek, Petter Minnhagen and Beom Jun Kim
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We numerically investigate the nature of the phase transition of the XY model in the heptagonal lattice with the negative curvature, in comparison to other interaction structures such as a flat two-dimensional (2D) square lattice and a small-world network. Although the heptagonal lattice has a very short characteristic path length like the small-world network structure, it is revealed via calculation of the Binder's cumulant that the former exhibits a zero-temperature phase transition while the latter has the finite-temperature transition of the mean-field nature. Through the computation of the vortex density as well as the correlation function in the low-temperature approximation, we show that the absence of the phase transition originates from the strong spinwave-type fluctuation, which is discussed in relation to the usual 2D XY model.
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PDF链接：
https://arxiv.org/pdf/706.0044
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