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    Imaging of Coulomb-Driven Quantum Hall Edge States

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    Type
    Article
    Authors
    Lai, Keji
    Kundhikanjana, Worasom
    Kelly, Michael A.
    Shen, Zhi-Xun
    Shabani, Javad
    Shayegan, Mansour
    KAUST Grant Number
    KUS-F1-033-02
    Date
    2011-10-19
    Permanent link to this record
    http://hdl.handle.net/10754/598557
    
    Metadata
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    Abstract
    The edges of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime are divided into alternating metallic and insulating strips, with their widths determined by the energy gaps of the QHE states and the electrostatic Coulomb interaction. Local probing of these submicrometer features, however, is challenging due to the buried 2DEG structures. Using a newly developed microwave impedance microscope, we demonstrate the real-space conductivity mapping of the edge and bulk states. The sizes, positions, and field dependence of the edge strips around the sample perimeter agree quantitatively with the self-consistent electrostatic picture. The evolution of microwave images as a function of magnetic fields provides rich microscopic information around the ν=2 QHE state. © 2011 American Physical Society.
    Citation
    Lai K, Kundhikanjana W, Kelly MA, Shen Z-X, Shabani J, et al. (2011) Imaging of Coulomb-Driven Quantum Hall Edge States. Physical Review Letters 107. Available: http://dx.doi.org/10.1103/PhysRevLett.107.176809.
    Sponsors
    We would like to thank Steve A. Kivelson, Shoucheng Zhang, David Goldhaber-Gordon, and Bertrand I. Halperin for the helpful discussion. The work is supported by NSF grants DMR-0906027 and Center of Probing the Nanoscale PHY-0425897; DOE-DE-FG03-01ER45929-A001 for the equipment; NSF grants ECCS-1001719, DMR-1033046, and DOE-DE-FG02-00-ER45841 for the 2DEG materials; and King Abdullah University of Science and Technology Fellowship (KUS-F1-033-02).
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review Letters
    DOI
    10.1103/PhysRevLett.107.176809
    PubMed ID
    22107561
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevLett.107.176809
    Scopus Count
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