Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917186830860288 |
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| author | Xu, Cheng Mao, Ning Zeng, Tiansheng Zhang, Yang |
| author_facet | Xu, Cheng Mao, Ning Zeng, Tiansheng Zhang, Yang |
| contents | We investigate the moiré band structures and possible even denominator fractional quantum Hall state in small angle twisted bilayer MoTe$_2$, using combined large-scale local basis density functional theory calculation and continuum model exact diagonalization. Via large-scale first principles calculations at $θ=1.89^{\circ}$, we find a sequence of $C=1$(Chern number in K valley)moiré Chern bands, in analogy to Landau levels. By constructing the continuum model with multiple Chern bands, we undertake band-projected exact diagonalization using unscreened Coulomb repulsion to identify possible non-Abelian states near twist angle $θ=1.89^{\circ}$ at the half filling of second moiré band. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17003 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states Xu, Cheng Mao, Ning Zeng, Tiansheng Zhang, Yang Strongly Correlated Electrons Materials Science We investigate the moiré band structures and possible even denominator fractional quantum Hall state in small angle twisted bilayer MoTe$_2$, using combined large-scale local basis density functional theory calculation and continuum model exact diagonalization. Via large-scale first principles calculations at $θ=1.89^{\circ}$, we find a sequence of $C=1$(Chern number in K valley)moiré Chern bands, in analogy to Landau levels. By constructing the continuum model with multiple Chern bands, we undertake band-projected exact diagonalization using unscreened Coulomb repulsion to identify possible non-Abelian states near twist angle $θ=1.89^{\circ}$ at the half filling of second moiré band. |
| title | Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states |
| topic | Strongly Correlated Electrons Materials Science |
| url | https://arxiv.org/abs/2403.17003 |