Ground state degeneracy of the Ising cage-net model

Autor: Ma, Xiuqi, Malladi, Ananth, Wang, Zongyuan, Wang, Zhenghan, Chen, Xie
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. B 107, 085123 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.107.085123
Popis: The Ising cage-net model, first proposed in Phys. Rev. X 9, 021010 (2019), is a representative type I fracton model with nontrivial non-abelian features. In this paper, we calculate the ground state degeneracy of this model and find that, even though it follows a similar coupled layer structure as the X-cube model, the Ising cage-net model cannot be "foliated" in the same sense as X-cube as defined in Phys. Rev. X 8, 031051 (2018). A more generalized notion of "foliation'' is hence needed to understand the renormalization group transformation of the Ising cage-net model. The calculation is done using an operator algebra approach that we develop in this paper, and we demonstrate its validity through a series of examples.
Databáze: arXiv