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arXiv · 2407.08568

Three-component fractional quantum Hall effect in topological flat bands

Tian-Sheng Zeng
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Abstract

We study the many-body ground states of three-component quantum particles in two prototypical topological lattice models under strong intercomponent and intracomponent repulsions. At band filling $\nu=3/4$ for hardcore bosons, we demonstrate the emergence of three-component fractional quantum Hall (FQH) effect characterized by the $\mathbf{K}$ matrix, through exact diagonalization study of four-fold quasidegenerate ground states with a robust spectrum gap and the combined density-matrix renormalization group calculation of fractional drag charge pumping. Further we formulate the topological characterization of FQH states of three-component Bose-Fermi mixtures at various fillings by the $\mathbf{K}$ matrix. At last we discuss the possible generalization of our approach to identify non-Abelian three-component spin-singlet FQH states.

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Tian-Sheng Zeng. 2024-07-11. Three-component fractional quantum Hall effect in topological flat bands. https://doi.org/10.1103/physrevb.110.165126

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