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

  title={Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect},
  author={Tian-Sheng Zeng and W. Zhu},
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 ν = 4/3 in topological flat band models. Utilizing density-matrix renormalization… 
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