Microwave Imaging of Edge Conductivity in Graphene at Charge Neutrality and Quantum Hall States
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arXiv
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| Auteurs principaux: | , , , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913082161233920 |
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| author | Yan, Hongtao Tseng, Chun-Chih Li, Anzhuoer Kumar, Manish Wang, Kaile Chu, Shizai Watanabe, Kenji Taniguchi, Takashi MacDonald, Allan H. Yankowitz, Matthew Lai, Keji |
| author_facet | Yan, Hongtao Tseng, Chun-Chih Li, Anzhuoer Kumar, Manish Wang, Kaile Chu, Shizai Watanabe, Kenji Taniguchi, Takashi MacDonald, Allan H. Yankowitz, Matthew Lai, Keji |
| contents | We report local conductivity imaging of edge states in monolayer graphene by millikelvin microwave impedance microscopy (MIM). At the charge-neutrality point, as the magnetic field increases, the local conductivity at the edge drops to zero more slowly than in the bulk. This behavior is consistent with the calculated spatial profile of the charge gap in the canted antiferromagnetic phase. For comparison, we also perform microwave imaging of integer quantum Hall states away from neutrality, which host dissipationless chiral edge channels. The evolution of the edge signal as a function of the bulk gap is fundamentally different between the Landau level filling factor $ν= 0$ and $|ν| \ge 1$ integer quantum Hall states, which can be qualitatively explained by numerical simulations and theoretical analysis. Our results provide a comprehensive microscopic picture of the edge and bulk states as the Fermi level moves across the unique Landau-level spectrum of graphene. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17906 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Microwave Imaging of Edge Conductivity in Graphene at Charge Neutrality and Quantum Hall States Yan, Hongtao Tseng, Chun-Chih Li, Anzhuoer Kumar, Manish Wang, Kaile Chu, Shizai Watanabe, Kenji Taniguchi, Takashi MacDonald, Allan H. Yankowitz, Matthew Lai, Keji Strongly Correlated Electrons Mesoscale and Nanoscale Physics We report local conductivity imaging of edge states in monolayer graphene by millikelvin microwave impedance microscopy (MIM). At the charge-neutrality point, as the magnetic field increases, the local conductivity at the edge drops to zero more slowly than in the bulk. This behavior is consistent with the calculated spatial profile of the charge gap in the canted antiferromagnetic phase. For comparison, we also perform microwave imaging of integer quantum Hall states away from neutrality, which host dissipationless chiral edge channels. The evolution of the edge signal as a function of the bulk gap is fundamentally different between the Landau level filling factor $ν= 0$ and $|ν| \ge 1$ integer quantum Hall states, which can be qualitatively explained by numerical simulations and theoretical analysis. Our results provide a comprehensive microscopic picture of the edge and bulk states as the Fermi level moves across the unique Landau-level spectrum of graphene. |
| title | Microwave Imaging of Edge Conductivity in Graphene at Charge Neutrality and Quantum Hall States |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2602.17906 |