9 papers
Screw dislocations in the X-cube fracton model
Nandagopal Manoj, Kevin Slagle, Wilbur Shirley +1
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 topologi…
Fractonic order and emergent fermionic gauge theory
Wilbur Shirley
We consider fermionic systems in which fermion parity is conserved within rigid subsystems, and describe an explicit procedure for gauging such subsystem fermion parity symmetries…
Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
Trithep Devakul, Wilbur Shirley, Juven Wang
We classify subsystem symmetry-protected topological (SSPT) phases in D protected by planar subsystem symmetries, which are dual to abelian fracton topological orders. We dist…
Twisted foliated fracton phases
Wilbur Shirley, Kevin Slagle, Xie Chen
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 fr…
Foliated fracton order in the Majorana checkerboard model
Taige Wang, Wilbur Shirley, Xie Chen
We establish the presence of foliated fracton order in the Majorana checkerboard model. In particular, we describe an entanglement renormalization group transformation which utiliz…
Foliated fracton order in the checkerboard model
Wilbur Shirley, Kevin Slagle, Xie Chen
In this work, we show that the checkerboard model exhibits the phenomenon of foliated fracton order. We introduce a renormalization group transformation for the model that utilizes…