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Spontaneous Localization at a Potential Saddle Point from Edge State Reconstruction in a Quantum Hall Point Contact

Title: Spontaneous Localization at a Potential Saddle Point from Edge State Reconstruction in a Quantum Hall Point Contact
Authors: 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
Source: Physical Review Letters, vol 134, iss 7
Publisher Information: eScholarship, University of California
Publication Year: 2025
Collection: University of California: eScholarship
Subject Terms: Quantum Physics; Physical Sciences; Condensed Matter Physics; Mathematical Sciences; Engineering; General Physics
Description: 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.
Document Type: article in journal/newspaper
File Description: application/pdf
Language: unknown
Relation: qt9053x68v; https://escholarship.org/uc/item/9053x68v; https://escholarship.org/content/qt9053x68v/qt9053x68v.pdf
DOI: 10.1103/physrevlett.134.076302
Availability: https://escholarship.org/uc/item/9053x68v; https://escholarship.org/content/qt9053x68v/qt9053x68v.pdf; https://doi.org/10.1103/physrevlett.134.076302
Rights: CC-BY
Accession Number: edsbas.82B5A60C
Database: BASE