Our work, topological quantum color code model on infinite lattices, co-authored with Shiyu Cao and Sheng Tan, has been posted on arXiv1. In this study, we carry out a rigorous Doplicher–Roberts–Haag (DHR) analysis for the quantum color code model—a framework central to understanding the structure of topological order in infinite lattice.
It is known that the topological phases of the color code model are equivalent to those of the double-layer toric code model. In this work, we present a rigorous proof of this equivalence within the framework of quasi-local C*-algebras.
We classify the model’s irreducible anyon superselection sectors and construct explicit string operators that generate anyonic excitations from the ground state. We further examine the fusion and braiding properties of these excitations and show that the resulting category is equivalent to 
- Since I have recently been moving and settling down in Changsha and have been somewhat nomadic, this post comes out a little bit late. ↩︎
Zhian Jia | 贾治安 