TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.5.125
TI  - Building 1D lattice models with $G$-graded fusion category
PY  - 2024/11/05
UR  - https://scipost.org/SciPostPhys.17.5.125
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 5
SP  - 125
A1  - Ning, Shang-Qiang
AU  - Mao, Bin-Bin
AU  - Wang, Chenjie
AB  - We construct a family of one-dimensional (1D) quantum lattice models based on $G$-graded unitary fusion category $\mathcal{C}_G$. This family realize an interpolation between the anyon-chain models and edge models of 2D symmetry-protected topological states, and can be thought of as edge models of 2D symmetry-enriched topological states. The models display a set of unconventional global symmetries that are characterized by the input category $\mathcal{C}_G$. While spontaneous symmetry breaking is also possible, our numerical evidence shows that the category symmetry constrains the models to the extent that the low-energy physics has a large likelihood to be gapless.
ER  -

@Article{10.21468/SciPostPhys.17.5.125,
	title={{Building 1D lattice models with $G$-graded fusion category}},
	author={Shang-Qiang Ning and Bin-Bin Mao and Chenjie Wang},
	journal={SciPost Phys.},
	volume={17},
	pages={125},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.5.125},
	url={https://scipost.org/10.21468/SciPostPhys.17.5.125},
}