论文标题
Sierpiński金字塔上的量子Potts模型
Quantum Potts Models on the Sierpiński Pyramid
论文作者
论文摘要
Sierpiński金字塔上的两态量子POTTS模型的相变，通过张量网络框架（高阶张量重量化组方法）研究。评估了横向磁场和磁指数$β$的临界值。尽管Sierpiński金字塔的Hausdorff尺寸正好是两个$（= \ log_2^{〜} 4）$，但获得的关键属性表明，有效尺寸低于两个。
Phase transition of the two- and three-state quantum Potts models on the Sierpiński pyramid are studied by means of a tensor network framework, the higher-order tensor renormalization group method. Critical values of the transverse magnetic field and the magnetic exponent $β$ are evaluated. Despite the fact that the Hausdorff dimension of the Sierpiński pyramid is exactly two $( = \log_2^{~} 4)$, the obtained critical properties show that the effective dimension is lower than two.
