Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact
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arXiv
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| Autores principales: | , , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866912741360402432 |
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| author | Cohen, Liam A. Samuelson, Noah L. Wang, Taige Klocke, Kai Reeves, Cian C. Taniguchi, Takashi Watanabe, Kenji Vijay, Sagar Zaletel, Michael P. Young, Andrea F. |
| author_facet | Cohen, Liam A. Samuelson, Noah L. Wang, Taige Klocke, Kai Reeves, Cian C. Taniguchi, Takashi Watanabe, Kenji Vijay, Sagar Zaletel, Michael P. Young, Andrea F. |
| contents | Quantum point contacts (QPCs) are an essential component in mesoscopic devices. Here, we study the transmission of quantum Hall edge modes through a gate-defined QPC in monolayer graphene. We observe resonant tunneling peaks and a nonlinear conductance pattern characteristic of Coulomb-blockaded localized states. The in-plane electric polarizability reveals the states are localized at a classically-unstable electrostatic saddle point. We explain this unexpected finding within a self-consistent Thomas-Fermi model, finding that localization of a zero-dimensional state at the saddle point is favored whenever the applied confinement potential is sufficiently soft compared to the Coulomb energy. Our results provide a direct demonstration of Coulomb-driven reconstruction at the boundary of a quantum Hall system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10433 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact Cohen, Liam A. Samuelson, Noah L. Wang, Taige Klocke, Kai Reeves, Cian C. Taniguchi, Takashi Watanabe, Kenji Vijay, Sagar Zaletel, Michael P. Young, Andrea F. Mesoscale and Nanoscale Physics Materials Science Quantum point contacts (QPCs) are an essential component in mesoscopic devices. Here, we study the transmission of quantum Hall edge modes through a gate-defined QPC in monolayer graphene. We observe resonant tunneling peaks and a nonlinear conductance pattern characteristic of Coulomb-blockaded localized states. The in-plane electric polarizability reveals the states are localized at a classically-unstable electrostatic saddle point. We explain this unexpected finding within a self-consistent Thomas-Fermi model, finding that localization of a zero-dimensional state at the saddle point is favored whenever the applied confinement potential is sufficiently soft compared to the Coulomb energy. Our results provide a direct demonstration of Coulomb-driven reconstruction at the boundary of a quantum Hall system. |
| title | Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2401.10433 |