TY - JOUR
T1 - Imaging of coulomb-driven quantum Hall edge states
AU - Lai, Keji
AU - Kundhikanjana, Worasom
AU - Kelly, Michael A.
AU - Shen, Zhi Xun
AU - Shabani, Javad
AU - Shayegan, Mansour
PY - 2011/10/19
Y1 - 2011/10/19
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.107.176809
DO - 10.1103/PhysRevLett.107.176809
M3 - Article
C2 - 22107561
AN - SCOPUS:80054734905
SN - 0031-9007
VL - 107
JO - Physical review letters
JF - Physical review letters
IS - 17
M1 - 176809
ER -