Mott insulating states of the anisotropic SU(4) Dirac fermions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2019
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| _version_ | 1866911807726157824 |
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| author | Xu, Han Wang, Yu Zhou, Zhichao Wu, Congjun |
| author_facet | Xu, Han Wang, Yu Zhou, Zhichao Wu, Congjun |
| contents | We employ the large-scale quantum Monte-Carlo simulations to investigate the Mott-insulating states of the half-filled SU(4) Hubbard model on the square lattice with a staggered-flux pattern. The noninteracting band structure that evolves from a nested Fermi surface at zero flux to isotropic Dirac cones at $π$ flux, exhibits anisotropic Dirac cones as the flux varies in between. Our simulations show transitions between the three phases of Dirac semimetal, antiferromagnet and valence-bond solid. A direct continuous transition between the antiferromagnetic phase and the valence-bond-solid phase is realized via varying the flux in the Mott regime. The simulated critical exponents remarkably agree with those of SU(4) $J$-$Q$ model. Inside the valence-bond-solid phase induced by the flux, the plaquette valence-bond state with vanishing single-particle gap is identified. At strong coupling, the valence-bond-solid phase disappears and the Mott-insulating state is always accompanied by antiferromagnetic ordering, regardless of the magnitude of the flux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_11791 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Mott insulating states of the anisotropic SU(4) Dirac fermions Xu, Han Wang, Yu Zhou, Zhichao Wu, Congjun Quantum Gases Strongly Correlated Electrons We employ the large-scale quantum Monte-Carlo simulations to investigate the Mott-insulating states of the half-filled SU(4) Hubbard model on the square lattice with a staggered-flux pattern. The noninteracting band structure that evolves from a nested Fermi surface at zero flux to isotropic Dirac cones at $π$ flux, exhibits anisotropic Dirac cones as the flux varies in between. Our simulations show transitions between the three phases of Dirac semimetal, antiferromagnet and valence-bond solid. A direct continuous transition between the antiferromagnetic phase and the valence-bond-solid phase is realized via varying the flux in the Mott regime. The simulated critical exponents remarkably agree with those of SU(4) $J$-$Q$ model. Inside the valence-bond-solid phase induced by the flux, the plaquette valence-bond state with vanishing single-particle gap is identified. At strong coupling, the valence-bond-solid phase disappears and the Mott-insulating state is always accompanied by antiferromagnetic ordering, regardless of the magnitude of the flux. |
| title | Mott insulating states of the anisotropic SU(4) Dirac fermions |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/1912.11791 |