Topological electronic crystals in twisted bilayer-trilayer graphene
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917952636321792 |
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| author | Su, Ruiheng Waters, Dacen Zhou, Boran Watanabe, Kenji Taniguchi, Takashi Zhang, Ya-Hui Yankowitz, Matthew Folk, Joshua |
| author_facet | Su, Ruiheng Waters, Dacen Zhou, Boran Watanabe, Kenji Taniguchi, Takashi Zhang, Ya-Hui Yankowitz, Matthew Folk, Joshua |
| contents | In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break continuous translational symmetry and time-reversal symmetry spontaneously to form a form of topological electron crystal known as an anomalous Hall crystal. Here, we report the observation of a generalized version of the anomalous Hall crystal in twisted bilayer-trilayer graphene, whose formation is driven by the moire potential. The crystal forms at a band filling factor of one electron per four moiré unit cells ($ν=1/4$) and quadruples the unit-cell area, coinciding with an integer quantum anomalous Hall effect. The Chern number of the state is exceptionally tunable, and can be switched reversibly between $+1$ and $-1$ by electric and magnetic fields. Several other topological electronic crystals arise in a modest magnetic field, originating from $ν=1/3$, $1/2$, $2/3$, and $3/2$. The quantum geometry of the folded bands is likely very different from that of the original parent band, enabling possible future discoveries of correlation-driven topological phenomena |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological electronic crystals in twisted bilayer-trilayer graphene Su, Ruiheng Waters, Dacen Zhou, Boran Watanabe, Kenji Taniguchi, Takashi Zhang, Ya-Hui Yankowitz, Matthew Folk, Joshua Mesoscale and Nanoscale Physics In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break continuous translational symmetry and time-reversal symmetry spontaneously to form a form of topological electron crystal known as an anomalous Hall crystal. Here, we report the observation of a generalized version of the anomalous Hall crystal in twisted bilayer-trilayer graphene, whose formation is driven by the moire potential. The crystal forms at a band filling factor of one electron per four moiré unit cells ($ν=1/4$) and quadruples the unit-cell area, coinciding with an integer quantum anomalous Hall effect. The Chern number of the state is exceptionally tunable, and can be switched reversibly between $+1$ and $-1$ by electric and magnetic fields. Several other topological electronic crystals arise in a modest magnetic field, originating from $ν=1/3$, $1/2$, $2/3$, and $3/2$. The quantum geometry of the folded bands is likely very different from that of the original parent band, enabling possible future discoveries of correlation-driven topological phenomena |
| title | Topological electronic crystals in twisted bilayer-trilayer graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2406.17766 |