X-cube分形子模型中的螺位错
Screw dislocations in the X-cube fracton model
摘要：
X-cube模型是一个典型的带隙分形子模型，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+1D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对数的基态简并的模型。部分的变化可以追溯到一个简单的堆叠2+1D拓扑状态的螺旋位错的影响，从而证实了在模型中的叶理结构。另一部分的变化来自诱导运动的fracton或沿位错的子维激发，在2+1D层的堆栈中不存在的功能。
英文摘要：
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.
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