Abstract
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 the 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. © 2024 American Physical Society.
| Original language | English |
|---|---|
| Article number | 125136 |
| Journal | Physical Review B |
| Volume | 109 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 15 Mar 2024 |
Funding
This work is financially supported by the National Natural Science Foundation of China under Grants No. 11874292, No. 11729402, and No. 11574238. C.W. is supported by the New Cornerstone Science Foundation and the National Natural Science Foundation of China under Grants No. 12174317 and No. 12234016. We acknowledge the support of the Supercomputing Center of Wuhan University
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Xu, H., Wang, Y., Zhou, Z., & Wu, C. (2024). Mott insulating states of the anisotropic SU(4) Dirac fermions. Physical Review B, 109(12), Article 125136. https://doi.org/10.1103/PhysRevB.109.125136 The copyright of this article is owned by American Physical Society.