Hofstadter spectrum in a semiconductor moiré lattice
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909222300549120 |
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| author | Zhao, Chen Wu, Ming Ma, Zhen Liang, Miao Lu, Ming Gao, Jin-Hua Xie, X. C. |
| author_facet | Zhao, Chen Wu, Ming Ma, Zhen Liang, Miao Lu, Ming Gao, Jin-Hua Xie, X. C. |
| contents | Recently, the Hofstadter spectrum of a twisted $\mathrm{WSe_2/MoSe_2}$ heterobilayer has been observed in experiment [C. R. Kometter, et al. Nat.Phys.19, 1861 (2023)], but the origin of Hofstadter states remains unclear. Here, we present a comprehensive theoretical interpretation of the observed Hofstadter states by calculating its accurate Hofstadter spectrum. We point out that the valley Zeeman effect, a unique feature of the transition metal dichalcogenide (TMD) materials, plays a crucial role in determining the shape of the Hofstadter spectrum, due to the narrow bandwidth of the moiré bands. This is distinct from the graphene-based moiré systems. We further predict that the Hofstadter spectrum of the moiré flat band, which was not observed in experiment, can be observed in the same system with a larger twist angle $2^\circ\lesssimθ\lesssim 3^\circ$. Our theory paves the way for further studies of the interplay between the Hofstadter states and correlated insulting states in such moiré lattice systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08044 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hofstadter spectrum in a semiconductor moiré lattice Zhao, Chen Wu, Ming Ma, Zhen Liang, Miao Lu, Ming Gao, Jin-Hua Xie, X. C. Mesoscale and Nanoscale Physics Recently, the Hofstadter spectrum of a twisted $\mathrm{WSe_2/MoSe_2}$ heterobilayer has been observed in experiment [C. R. Kometter, et al. Nat.Phys.19, 1861 (2023)], but the origin of Hofstadter states remains unclear. Here, we present a comprehensive theoretical interpretation of the observed Hofstadter states by calculating its accurate Hofstadter spectrum. We point out that the valley Zeeman effect, a unique feature of the transition metal dichalcogenide (TMD) materials, plays a crucial role in determining the shape of the Hofstadter spectrum, due to the narrow bandwidth of the moiré bands. This is distinct from the graphene-based moiré systems. We further predict that the Hofstadter spectrum of the moiré flat band, which was not observed in experiment, can be observed in the same system with a larger twist angle $2^\circ\lesssimθ\lesssim 3^\circ$. Our theory paves the way for further studies of the interplay between the Hofstadter states and correlated insulting states in such moiré lattice systems. |
| title | Hofstadter spectrum in a semiconductor moiré lattice |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2406.08044 |