Building 1D lattice models with $G$-graded fusion category

Autor: Shang-Qiang Ning, Bin-Bin Mao, Chenjie Wang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: SciPost Physics, Vol 17, Iss 5, p 125 (2024)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.17.5.125
Popis: 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.
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