Year: 2024
Type: article
Abstract: We construct a family of one-dimensional (1D) quantum lattice models based on G G -graded unitary fusion category \mathcal{C}_G 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 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.
Source: SciPost Physics
Authors: Shang-Qiang Ning, Bin-Bin Mao, Chenjie Wang
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: Theoretical study on quantum critical models constructed out of topological excitations, G5719959687, G6475263633, G6962397988, Pair-density wave and intertwined orders in the cuprates, Novel interplay between symmetry and topology in strongly correlated quantum matter, G828749862, G872202833
OpenAlex ID: W4404082680