Superconductor-Insulator Transition in the TMD moiré systems and the Deconfined Quantum Critical Point
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arXiv
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| Format: | Preprint |
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2024
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| author | Myerson-Jain, Nayan Xu, Cenke |
| author_facet | Myerson-Jain, Nayan Xu, Cenke |
| contents | We propose that the recently observed superconductor-insulator transition (SIT) in the twisted bilayer transition metal dichalcogenides moiré system at hole filling $ν= 1$ may be described by the deconfined quantum critical point (DQCP), which was originally proposed for the transition between the Néel order and the valence bond solid (VBS) order on the square lattice. The key symmetries involved in the original DQCP include a $\mathrm{SO}(3)_s$ spin symmetry, as well as a $C_4$ lattice rotation symmetry for the VBS order that is enlarged into a $\mathrm{U}(1)_v$ symmetry near the DQCP. In the current SIT under consideration, the counterpart of the $\mathrm{SO}(3)_s$ spin symmetry is an approximate $\mathrm{SO}(3)_v$ symmetry that transforms between different crystalline orders on the triangular lattice; and the role of the $\mathrm{U}(1)_v$ symmetry is replaced by the ordinary charge-$\mathrm{U}(1)_e$ symmetry. And at the DQCP the $\mathrm{SO}(3)_v \times \mathrm{U}(1)_e$ may enlarge into an emergent $\mathrm{SO}(5)$ symmetry. Under strain, the SIT is driven into either a prominent first order transition, or an "easy-plane" DQCP, which is expected to have an emergent $\mathrm{O}(4)$ symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12971 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superconductor-Insulator Transition in the TMD moiré systems and the Deconfined Quantum Critical Point Myerson-Jain, Nayan Xu, Cenke Strongly Correlated Electrons We propose that the recently observed superconductor-insulator transition (SIT) in the twisted bilayer transition metal dichalcogenides moiré system at hole filling $ν= 1$ may be described by the deconfined quantum critical point (DQCP), which was originally proposed for the transition between the Néel order and the valence bond solid (VBS) order on the square lattice. The key symmetries involved in the original DQCP include a $\mathrm{SO}(3)_s$ spin symmetry, as well as a $C_4$ lattice rotation symmetry for the VBS order that is enlarged into a $\mathrm{U}(1)_v$ symmetry near the DQCP. In the current SIT under consideration, the counterpart of the $\mathrm{SO}(3)_s$ spin symmetry is an approximate $\mathrm{SO}(3)_v$ symmetry that transforms between different crystalline orders on the triangular lattice; and the role of the $\mathrm{U}(1)_v$ symmetry is replaced by the ordinary charge-$\mathrm{U}(1)_e$ symmetry. And at the DQCP the $\mathrm{SO}(3)_v \times \mathrm{U}(1)_e$ may enlarge into an emergent $\mathrm{SO}(5)$ symmetry. Under strain, the SIT is driven into either a prominent first order transition, or an "easy-plane" DQCP, which is expected to have an emergent $\mathrm{O}(4)$ symmetry. |
| title | Superconductor-Insulator Transition in the TMD moiré systems and the Deconfined Quantum Critical Point |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.12971 |