论文标题
X-Cube Fracton模型中的螺丝位错
Screw dislocations in the X-cube fracton model
论文作者
论文摘要
X-Cube模型是一种典型的间隙Fracton模型，已被证明具有叶面结构。也就是说，在3+1D模型内部，有2+1D间隙拓扑状态的隐藏层。 3+1D晶格中的螺钉脱位通常可以揭示与分层结构相关的非平凡特征。在本文中，我们在带有螺钉位错的晶格上研究X-Cube模型。特别是，我们发现螺钉脱位会导致模型基态变性的对数有限变化。一部分变化可以追溯到2+1D拓扑状态的简单堆栈中螺钉位错的影响，从而证实了模型中的叶面结构。变化的另一部分来自沿脱位的诱导运动或亚维激发的诱导运动，这是2+1d层的堆栈中不存在的特征。
The X-cube model, a prototypical gapped fracton model, has been shown to have a foliation structure. That is, inside the 3+1D model, there are hidden layers of 2+1D gapped topological states. A screw dislocation in a 3+1D lattice can often reveal nontrivial features associated with a layered structure. In this paper, we study the X-cube model on lattices with screw dislocations. In particular, we find that a screw dislocation results in a finite change in the logarithm of the ground state degeneracy of the model. Part of the change can be traced back to the effect of screw dislocations in a simple stack of 2+1D topological states, hence corroborating the foliation structure in the model. The other part of the change comes from the induced motion of fractons or sub-dimensional excitations along the dislocation, a feature absent in the stack of 2+1D layers.
