Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
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arXiv
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| Autori principali: | , , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Kumar, Ravi Haug, André Kim, Jehyun Yutushui, Misha Khudiakov, Konstantin Bhardwaj, Vishal Ilin, Alexey Watanabe, Kenji Taniguchi, Takashi Mross, David F. Ronen, Yuval |
| author_facet | Kumar, Ravi Haug, André Kim, Jehyun Yutushui, Misha Khudiakov, Konstantin Bhardwaj, Vishal Ilin, Alexey Watanabe, Kenji Taniguchi, Takashi Mross, David F. Ronen, Yuval |
| contents | Even-denominator fractional quantum Hall states are promising candidates for fault-tolerant quantum computing due to their underlying non-Abelian topological orders. However, the topological order of these states remains hotly debated. Here, we report transport measurements on ultra-clean bilayer graphene heterostructures, where we observed four quarter-filled states and their corresponding Levin-Halperin daughter states, constraining their topological order. Moreover, we complete the sequence of half-filled plateaus by detecting states at v=-3/2 and v=1/2 whose daughters suggest an alternating sequence of non-Abelian orders. This pattern suggests a universal origin supporting their use in identifying topological order at even-denominator fillings, though further confirmation is needed via direct measurements. The observed quarter- and half-filled states appear in N=0 and N=1 Landau levels, respectively, and thus highlight a competition between interactions favoring paired states of either four- or two-flux composite fermions. Additionally, we observe several 'next-generation' quantum Hall states that require strong interactions between composite fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene Kumar, Ravi Haug, André Kim, Jehyun Yutushui, Misha Khudiakov, Konstantin Bhardwaj, Vishal Ilin, Alexey Watanabe, Kenji Taniguchi, Takashi Mross, David F. Ronen, Yuval Mesoscale and Nanoscale Physics Strongly Correlated Electrons Even-denominator fractional quantum Hall states are promising candidates for fault-tolerant quantum computing due to their underlying non-Abelian topological orders. However, the topological order of these states remains hotly debated. Here, we report transport measurements on ultra-clean bilayer graphene heterostructures, where we observed four quarter-filled states and their corresponding Levin-Halperin daughter states, constraining their topological order. Moreover, we complete the sequence of half-filled plateaus by detecting states at v=-3/2 and v=1/2 whose daughters suggest an alternating sequence of non-Abelian orders. This pattern suggests a universal origin supporting their use in identifying topological order at even-denominator fillings, though further confirmation is needed via direct measurements. The observed quarter- and half-filled states appear in N=0 and N=1 Landau levels, respectively, and thus highlight a competition between interactions favoring paired states of either four- or two-flux composite fermions. Additionally, we observe several 'next-generation' quantum Hall states that require strong interactions between composite fermions. |
| title | Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2405.19405 |