CQuIC Seminars
Foliation structure in fracton models
Presented by Xie Chen, Caltech
[Notice special time (2.30 pm MT)]
Fracton models are characterized by an exponentially increasing ground state degeneracy and point excitations with limited motion. In this talk, I will focus on a prototypical 3D fracton model -- the X-cube model -- and discuss how its ground state degeneracy can be understood from a foliation structure in the model. In particular, we show that there are hidden 2D topological layers in the 3D bulk. To calculate the ground state degeneracy, we can remove the layers until a minimal structure is reached. The ground state degeneracy comes from the combination of the degeneracy of the foliation layers and that associated with the minimal structure. We discuss explicitly how this works for X-cube model with periodic boundary condition, open boundary condition, as well as in the presence of screw dislocation defects.
2:30 pm, Thursday, March 25, 2021
Zoom,
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