Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States

Yu, Xue-Jia; Yang, Sheng; Lin, Hai-Qing; Jian, Shao-Kai

doi:10.1103/physrevlett.133.026601

Phys. Rev. Lett.

2024

DOI: 10.1103/physrevlett.133.026601

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Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States

Xue-Jia Yu,

Sheng Yang,

Hai-Qing Lin

et al.

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2024

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Cited by 2 publications

References 98 publications

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Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions

Zhong,

Li,

Chen

et al. 2024

Phys. Rev. A

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Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions

Zhong,

Li,

Chen

et al. 2024

Phys. Rev. A

View full text Add to dashboard Cite

Generating lattice non-invertible symmetries

Cao,

Li,

Yamazaki

2024

SciPost Phys.

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Lattice non-invertible symmetries have rich fusion structures and play important roles in understanding various exotic topological phases. In this paper, we explore methods to generate new lattice non-invertible transformations/symmetries from a given non-invertible seed transformation/symmetry. The new lattice non-invertible symmetry is constructed by composing the seed transformations on different sites or sandwiching a unitary transformation between the transformations on the same sites. In addition to known non-invertible symmetries with fusion algebras of Tambara-Yamagami \mathbb Z_N×\mathbb Z_NℤN×ℤN type, we obtain a new non-invertible symmetry in models with \mathbb Z_NℤN dipole symmetries. We name the latter the dipole Kramers-Wannier symmetry because it arises from gauging the dipole symmetry. We further study the dipole Kramers-Wannier symmetry in depth, including its topological defect, its anomaly and its associated generalized Kennedy-Tasaki transformation.

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Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States

Cited by 2 publications

References 98 publications

Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions

Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions

Generating lattice non-invertible symmetries

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