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  1. 1 2011

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  1. 1 Hai W.

  2. 1 Li Z.

  3. 1 Xiao K.

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A direct connection between quantum Hall plateaus and exact pair states in a 2D electron gas

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Hai W., Li Z., Xiao K.
Open Physics
|
2011
|
vol. 9
|
issue 6
1509-1517
EN
It is previously found that the two-dimensional (2D) electron-pair in a homogeneous magnetic field has a set of exact solutions for a denumerably infinite set of magnetic fields. Here we demonstrate that as a function of magnetic field a band-like structure of energy associated with the exact pair states exists. A direct and simple connection between the pair states and the quantum Hall effect is revealed by the band-like structure of the hydrogen “pseudo-atom”. From such a connection one can predict the sites and widths of the integral and fractional quantum Hall plateaus for an electron gas in a GaAs-AlxGa1−x As heterojunction. The results are in good agreement with the existing experimental data.
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