Twisted foliated fracton phases
Twisted foliated fracton phases
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DOI：
10.1103/physrevb.102.115103
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发表时间：
2019-07
影响因子：
3.7
通讯作者：
Wilbur E. Shirley;K. Slagle;Xie Chen
中科院分区：
文献类型：
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作者：
Wilbur E. Shirley;K. Slagle;Xie Chen
在三维间隙模型的研究中，应将二维间隙状态视为一种自由资源。这是物理学中提出的“叶状分数阶”概念的基本思想。修订版x8, 031051（2018）。我们发现许多已知的I型分型模型，尽管它们看起来非常不同，但具有相同的片理分序，称为“x立方”顺序。本文对具有不同叶状分阶的三维分阶模型进行了识别。x立方阶对应于具有子系统平面对称性的简单顺磁体的规范理论，而新阶对应于规范理论的扭曲版本，其中测量之前的系统具有由平面子系统对称性保护的非平凡阶。我们给出了扭曲模型的构造，并通过研究它们的分数激励内容证明了它们具有非平凡阶序。
In the study of three-dimensional gapped models, two-dimensional gapped states should be considered as a free resource. This is the basic idea underlying the notion of `foliated fracton order' proposed in Phys. Rev. X 8, 031051 (2018). We have found that many of the known type I fracton models, although they appear very different, have the same foliated fracton order, known as `X-cube' order. In this paper, we identify three-dimensional fracton models with different kinds of foliated fracton order. Whereas the X-cube order corresponds to the gauge theory of a simple paramagnet with subsystem planar symmetry, the novel orders correspond to twisted versions of the gauge theory for which the system prior to gauging has nontrivial order protected by the planar subsystem symmetry. We present constructions of the twisted models and demonstrate that they possess nontrivial order by studying their fractional excitation contents.