Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect

Tian-Sheng Zeng; W. Zhu

doi:10.1103/physrevb.105.125128

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arXiv · 2110.07245

Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect

Tian-Sheng Zeng·W. Zhu

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Abstract

While the internal structure of Abelian topological order is well understood, how to characterize the non-Abelian topological order is an outstanding issue. We propose a distinctive scheme based on the many-body Chern number matrix to characterize non-Abelian multicomponent fractional quantum Hall states. As a concrete example, we study the many-body ground state of two-component bosons at the filling faction $\nu=4/3$ in topological flat band models. Utilizing density-matrix renormalization group and exact diagonalization calculations, we demonstrate the emergence of non-Abelian spin-singlet fractional quantum Hall effect under three-body interaction, whose topological nature is classified by six-fold degenerate ground states and a fractionally quantized Chern number matrix.

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BibTeX RIS

Tian-Sheng Zeng, W. Zhu. 2021-10-14. Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect. https://doi.org/10.1103/physrevb.105.125128

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