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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2406.17778 |
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| _version_ | 1866915747639328768 |
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| author | Yi-Thomas, Stuart Sau, Jay D. |
| author_facet | Yi-Thomas, Stuart Sau, Jay D. |
| contents | A recent experiment [Cohen et al., Science 382, 542 (2023)] observed a robustly quantized $e^2/2h$ conductance in a quantum point contact between fractional quantum Hall edges (a quantum Hall transformer), which then vanishes at low temperature. While this behavior can be described by a boundary sine gordon (BSG) model derived from electron tunneling, the microscopic motivation for such strong tunneling is unclear. We use an alternative model based on sliding charge density waves and a density inhomogeneity to clarify the BSG description and calculate the conductance over the full range of transmission. Using a perturbative method and a matrix product state calculation, we draw a quantitative connection between the BSG model and the physical quantum Hall system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17778 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum hall transformer in a quantum point contact over the full range of transmission Yi-Thomas, Stuart Sau, Jay D. Mesoscale and Nanoscale Physics Strongly Correlated Electrons A recent experiment [Cohen et al., Science 382, 542 (2023)] observed a robustly quantized $e^2/2h$ conductance in a quantum point contact between fractional quantum Hall edges (a quantum Hall transformer), which then vanishes at low temperature. While this behavior can be described by a boundary sine gordon (BSG) model derived from electron tunneling, the microscopic motivation for such strong tunneling is unclear. We use an alternative model based on sliding charge density waves and a density inhomogeneity to clarify the BSG description and calculate the conductance over the full range of transmission. Using a perturbative method and a matrix product state calculation, we draw a quantitative connection between the BSG model and the physical quantum Hall system. |
| title | Quantum hall transformer in a quantum point contact over the full range of transmission |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.17778 |