Screw dislocations in the X-cube fracton model
Screw dislocations in the X-cube fracton model
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DOI：
10.21468/scipostphys.10.4.094
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发表时间：
2020-12
期刊：
影响因子：
5.5
通讯作者：
Nandagopal Manoj;K. Slagle;Wilbur E. Shirley;Xie Chen
中科院分区：
文献类型：
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作者：
Nandagopal Manoj;K. Slagle;Wilbur E. Shirley;Xie Chen
X立方体模型是一个典型的带隙分形子模型，在文献[1]中被证明具有叶理结构。也就是说，在3+ 1D模型内部，存在2+ 1D间隙拓扑状态的隐藏层。3+1维晶格中的螺位错通常可以揭示与层状结构相关的非平凡特征。本文研究了螺旋位错晶格上的X立方模型。特别是，我们发现，螺旋位错的结果在有限的变化的基态简并的模型的对数。部分的变化可以追溯到一个简单的堆叠2+1 D拓扑状态的螺旋位错的效果，从而证实了在模型中的叶理结构。变化的另一部分来自于沿位错沿着的分形子或亚维激发的诱导运动，这是2+1D层堆叠中不存在的特征。
The X-cube model, a prototypical gapped fracton model, was shown in Ref. [1] to have a foliation structure. That is, inside the 3+1 D model, there are hidden layers of 2+1 D gapped topological states. A screw dislocation in a 3+1 D 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+1 D 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.