Elevated Hall Responses as Indicators of Edge Reconstruction
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908940259819520 |
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| author | Karmakar, Sampurna Ratnakar, Amulya Das, Sourin |
| author_facet | Karmakar, Sampurna Ratnakar, Amulya Das, Sourin |
| contents | We investigate edge reconstruction scenarios in the $ν= 1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes in a multi-terminal geometry can cause pronounced deviations from the expected quantized values of electrical ($e^2/h$) and thermal ($π^2 k_\text{B}^{2}T/3h$) Hall conductance dictated by bulk-boundary correspondence. In particular, we find that both electrical and thermal Hall conductances can be significantly enhanced -- exceeding twice their unreconstructed values -- offering a clear diagnostic of edge reconstruction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elevated Hall Responses as Indicators of Edge Reconstruction Karmakar, Sampurna Ratnakar, Amulya Das, Sourin Mesoscale and Nanoscale Physics We investigate edge reconstruction scenarios in the $ν= 1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes in a multi-terminal geometry can cause pronounced deviations from the expected quantized values of electrical ($e^2/h$) and thermal ($π^2 k_\text{B}^{2}T/3h$) Hall conductance dictated by bulk-boundary correspondence. In particular, we find that both electrical and thermal Hall conductances can be significantly enhanced -- exceeding twice their unreconstructed values -- offering a clear diagnostic of edge reconstruction. |
| title | Elevated Hall Responses as Indicators of Edge Reconstruction |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.08746 |