论文标题
具有无限分形对称性的多个智力点
A Multicritical Point with Infinite Fractal Symmetries
论文作者
论文摘要
最近引入了````帕斯卡的三角形模型''，介绍了$ \ text {u}（1）$转子自由度，并表明（$ \ textit {i} $）。此模型具有无限的无限型分形symmeties; and（$ \ \ textit; and（$ \ \ textit dintrol and fr fr fr fr fr fr fr fr fr fring）。分形对称性。 $ z_p $分形模型。我们还建立了Pascal的四面体模型与$ \ text {u}（1）$ haah的代码之间的连接。
Recently a ``Pascal's triangle model" constructed with $\text{U}(1)$ rotor degrees of freedom was introduced, and it was shown that ($\textit{i}$.) this model possesses an infinite series of fractal symmetries; and ($\textit{ii}$.) it is the parent model of a series of $Z_p$ fractal models each with its own distinct fractal symmetry. In this work we discuss a multi-critical point of the Pascal's triangle model that is analogous to the Rokhsar-Kivelson (RK) point of the better known quantum dimer model. We demonstrate that the expectation value of the characteristic operator of each fractal symmetry at this multi-critical point decays as a power-law of space, and this multi-critical point is shared by the family of descendent $Z_p$ fractal models. Afterwards, we generalize our discussion to a $(3+1)d$ model termed the ``Pascal's tetrahedron model" that has both planar and fractal subsystem symmetries. We also establish a connection between the Pascal's tetrahedron model and the $\text{U}(1)$ Haah's code.
