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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.03004 |
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| _version_ | 1866917856445202432 |
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| author | Dong, Baojuan Zhao, Kai Watanabe, Kenji Taniguchi, Takashi Lu, Jianming Zhao, Jianting Wu, Fengcheng Zhang, Jing Han, Zheng |
| author_facet | Dong, Baojuan Zhao, Kai Watanabe, Kenji Taniguchi, Takashi Lu, Jianming Zhao, Jianting Wu, Fengcheng Zhang, Jing Han, Zheng |
| contents | When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and Planck's constant. Such quantization has been pivotal in quantum metrology and computing. Here, we demonstrate a novel quantized quantity: the ratio of the displacement field to the magnetic field, $D/B$, in large-twist-angle bilayer graphene. In the high magnetic field limit, Landau level crossings between the top and bottom layers manifest equal-sized checkerboard patterns throughout the $D/B$-$ν$ space. It stems from a peculiar electric-field-driven interlayer charge transfer at one elementary charge per flux quantum, leading to quantized intervals of critical displacement fields, (i.e., $δD$ = $\frac{e}{2πl_{B}^{2}}$, where $l_B$ is the magnetic length). Our findings suggest that interlayer charge transfer in the quantum Hall regime can yield intriguing physical phenomena, which has been overlooked in the past. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantized Landau-level crossing checkerboard in large-angle twisted graphene Dong, Baojuan Zhao, Kai Watanabe, Kenji Taniguchi, Takashi Lu, Jianming Zhao, Jianting Wu, Fengcheng Zhang, Jing Han, Zheng Mesoscale and Nanoscale Physics When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and Planck's constant. Such quantization has been pivotal in quantum metrology and computing. Here, we demonstrate a novel quantized quantity: the ratio of the displacement field to the magnetic field, $D/B$, in large-twist-angle bilayer graphene. In the high magnetic field limit, Landau level crossings between the top and bottom layers manifest equal-sized checkerboard patterns throughout the $D/B$-$ν$ space. It stems from a peculiar electric-field-driven interlayer charge transfer at one elementary charge per flux quantum, leading to quantized intervals of critical displacement fields, (i.e., $δD$ = $\frac{e}{2πl_{B}^{2}}$, where $l_B$ is the magnetic length). Our findings suggest that interlayer charge transfer in the quantum Hall regime can yield intriguing physical phenomena, which has been overlooked in the past. |
| title | Quantized Landau-level crossing checkerboard in large-angle twisted graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2412.03004 |