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摘要翻译：
我们研究了二维铁磁Ising模型在一系列规则晶格上的问题，这些规则晶格表现为五边形(P=5)、六边形(P=6)等具有常负标量曲率的双曲面上的多边形的镶嵌，这些规则晶格的边数为p>=5。我们用角转移矩阵重整化群方法计算了临界温度和标度指数。结果表明，对于p>=5的所有情况，都观察到了类平均场相变。在Bethe晶格上的Ising模型与计算的相变温度一致的情况下，我们研究了相变温度对p的收敛性。
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英文标题：
《Ising model on hyperbolic lattice studied by corner transfer matrix
renormalization group method》
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作者：
Roman Krcmar, Andrej Gendiar, Kouji Ueda and Tomotoshi Nishino
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最新提交年份：
2008
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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 study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes, which have constant negative scalar curvatures. We calculate critical temperatures and scaling exponents by use of the corner transfer matrix renormalization group method. As a result, the mean-field like phase transition is observed for all the cases p>=5. Convergence of the calculated transition temperatures with respect to p is investigated towards the limit p->infinity, where the system coincides with the Ising model on the Bethe lattice.
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PDF链接：
https://arxiv.org/pdf/712.0461
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