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摘要翻译：
我们预测了Potts自旋玻璃模型在三角形晶格上的几个多晶格点的位置。特别地，在三角形晶格上，得到了两种两态Potts（即Ising）自旋玻璃在两体和三体相互作用下由多点组成的连续多点线。这些结果为我们提供了大量的例子来进一步验证该猜想的有效性，该猜想成功地导出了几个自旋玻璃模型的高精度多点位置。这种技术被称为直接三角对偶，是普通对偶变换的一种变体，它结合复本方法将三角格与其对偶三角格直接联系起来。
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英文标题：
《Multicritical Points of Potts Spin Glasses on the Triangular Lattice》
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作者：
Masayuki Ohzeki
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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：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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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 predict the locations of several multicritical points of the Potts spin glass model on the triangular lattice. In particular, continuous multicritical lines, which consist of multicritical points, are obtained for two types of two-state Potts (i.e., Ising) spin glasses with two- and three-body interactions on the triangular lattice. These results provide us with numerous examples to further verify the validity of the conjecture, which has succeeded in deriving highly precise locations of multicritical points for several spin glass models. The technique, called the direct triangular duality, a variant of the ordinary duality transformation, directly relates the triangular lattice with its dual triangular lattice in conjunction with the replica method.
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PDF链接：
https://arxiv.org/pdf/706.2052
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