Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908851372032000 |
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| author | Zhang, Lu Liu, Rongning Song, Xue-Yang |
| author_facet | Zhang, Lu Liu, Rongning Song, Xue-Yang |
| contents | We report the study of phases and transitions of SU(N) Hofstadter-Hubbard model subject to commensurate magnetic field on the triangular lattice. At filling one fermion per site, for the number of fermion flavors 2 <= N <= 8, we identify three distinct phases and calculate critical interaction strength from parton large-N mean-field approximation. Integer quantum Hall, chiral spin liquid, and valence bond solid states could be realized upon varying the Hubbard interaction U and the number of flavor N . We construct the critical theory for the putative continuous transition from quantum Hall states to chiral spin liquid and calculate the critical transport behavior using quantum Boltzmann equations for general N . These results could be validated in synthetic systems such as moire superlattices and cold atom platforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model Zhang, Lu Liu, Rongning Song, Xue-Yang Strongly Correlated Electrons We report the study of phases and transitions of SU(N) Hofstadter-Hubbard model subject to commensurate magnetic field on the triangular lattice. At filling one fermion per site, for the number of fermion flavors 2 <= N <= 8, we identify three distinct phases and calculate critical interaction strength from parton large-N mean-field approximation. Integer quantum Hall, chiral spin liquid, and valence bond solid states could be realized upon varying the Hubbard interaction U and the number of flavor N . We construct the critical theory for the putative continuous transition from quantum Hall states to chiral spin liquid and calculate the critical transport behavior using quantum Boltzmann equations for general N . These results could be validated in synthetic systems such as moire superlattices and cold atom platforms. |
| title | Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.10023 |