Three-component fractional quantum Hall effect in topological flat bands
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908081730879488 |
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| author | Zeng, Tian-Sheng |
| author_facet | Zeng, Tian-Sheng |
| contents | 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 $ν=3/4$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-component fractional quantum Hall effect in topological flat bands Zeng, Tian-Sheng Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases 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 $ν=3/4$ 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. |
| title | Three-component fractional quantum Hall effect in topological flat bands |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2407.08568 |