On enriching the Levin-Wen model with symmetry

Liang Chang; Meng Cheng; Shawn X. Cui; Yuting Hu; Wei Jin; Ramis Movassagh; Pieter Naaijkens; Zhenghan Wang; Amanda Young

doi:10.1088/1751-8113/48/12/12FT01

On enriching the Levin-Wen model with symmetry

Liang Chang, Meng Cheng, Shawn X. Cui, Yuting Hu, Wei Jin, Ramis Movassagh, Pieter Naaijkens, Zhenghan Wang, Amanda Young

Research output: Contribution to journal › Article › peer-review

Abstract

Symmetry protected (SPT) and symmetry enriched topological (SET) phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Levin-Wen (LW) model for spin/boson systems is an important rigorously solvable model for studying 2D topological phases. The input data for the LW model is a unitary fusion category, but the same model also works for unitary multi-fusion categories. In this paper, we provide the details for this extension of the LW model, and show that the extended LW model is a natural playground for the theoretical study of SPT and SET phases of matter.

Original language	English (US)
Article number	12FT01
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	12
DOIs	https://doi.org/10.1088/1751-8113/48/12/12FT01
State	Published - Mar 27 2015
Externally published	Yes

Keywords

Levin-Wen model
multi-fusion category
topological phase

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

Online availability

10.1088/1751-8113/48/12/12FT01

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title = "On enriching the Levin-Wen model with symmetry",

abstract = "Symmetry protected (SPT) and symmetry enriched topological (SET) phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Levin-Wen (LW) model for spin/boson systems is an important rigorously solvable model for studying 2D topological phases. The input data for the LW model is a unitary fusion category, but the same model also works for unitary multi-fusion categories. In this paper, we provide the details for this extension of the LW model, and show that the extended LW model is a natural playground for the theoretical study of SPT and SET phases of matter.",

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AU - Chang, Liang

AU - Cheng, Meng

AU - Cui, Shawn X.

AU - Hu, Yuting

AU - Jin, Wei

AU - Movassagh, Ramis

AU - Naaijkens, Pieter

AU - Wang, Zhenghan

AU - Young, Amanda

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Y1 - 2015/3/27

N2 - Symmetry protected (SPT) and symmetry enriched topological (SET) phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Levin-Wen (LW) model for spin/boson systems is an important rigorously solvable model for studying 2D topological phases. The input data for the LW model is a unitary fusion category, but the same model also works for unitary multi-fusion categories. In this paper, we provide the details for this extension of the LW model, and show that the extended LW model is a natural playground for the theoretical study of SPT and SET phases of matter.

AB - Symmetry protected (SPT) and symmetry enriched topological (SET) phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Levin-Wen (LW) model for spin/boson systems is an important rigorously solvable model for studying 2D topological phases. The input data for the LW model is a unitary fusion category, but the same model also works for unitary multi-fusion categories. In this paper, we provide the details for this extension of the LW model, and show that the extended LW model is a natural playground for the theoretical study of SPT and SET phases of matter.

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On enriching the Levin-Wen model with symmetry

Abstract

Keywords

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