Foliation structure in fracton models


Chen, X. (2021). Foliation structure in fracton models. Perimeter Institute. https://pirsa.org/21030000


Chen, Xie. Foliation structure in fracton models. Perimeter Institute, Mar. 01, 2021, https://pirsa.org/21030000


          @misc{ pirsa_21030000,
            doi = {10.48660/21030000},
            url = {https://pirsa.org/21030000},
            author = {Chen, Xie},
            keywords = {Condensed Matter},
            language = {en},
            title = {Foliation structure in fracton models},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {mar},
            note = {PIRSA:21030000 see, \url{https://pirsa.org}}

Xie Chen California Institute of Technology


Fracton models are characterized by an exponentially increasing ground state degeneracy and point excitations with constrained 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, and even in the presence of screw dislocation defects.