Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911925390016512 |
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| author | Morales-Durán, Nicolás Wei, Nemin Shi, Jingtian MacDonald, Allan H. |
| author_facet | Morales-Durán, Nicolás Wei, Nemin Shi, Jingtian MacDonald, Allan H. |
| contents | We explain the appearance of magic angles and fractional Chern insulators in twisted K-valley homobilayer transition metal dichalcogenides by mapping their continuum model to a Landau level problem. Our approach relies on an adiabatic approximation for the quantum mechanics of valence band holes in a layer-pseudospin field that is valid for sufficiently small twist angles and on a lowest Landau level approximation that is valid for sufficiently large twist angles. It simply explains why the quantum geometry of the lowest moiré miniband is nearly ideal at particular flat-band twist angles, predicts that topological flat bands occur only when the valley-dependent moiré potential is sufficiently strong compared to the interlayer tunneling amplitude, and provides a powerful starting point for the study of interactions |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03143 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs Morales-Durán, Nicolás Wei, Nemin Shi, Jingtian MacDonald, Allan H. Strongly Correlated Electrons We explain the appearance of magic angles and fractional Chern insulators in twisted K-valley homobilayer transition metal dichalcogenides by mapping their continuum model to a Landau level problem. Our approach relies on an adiabatic approximation for the quantum mechanics of valence band holes in a layer-pseudospin field that is valid for sufficiently small twist angles and on a lowest Landau level approximation that is valid for sufficiently large twist angles. It simply explains why the quantum geometry of the lowest moiré miniband is nearly ideal at particular flat-band twist angles, predicts that topological flat bands occur only when the valley-dependent moiré potential is sufficiently strong compared to the interlayer tunneling amplitude, and provides a powerful starting point for the study of interactions |
| title | Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2308.03143 |