A direct connection between quantum Hall plateaus and exact pair states in a 2D electron gas |
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Authors: | Wenhua Hai Zejun Li Kewen Xiao |
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Institution: | 1.Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education,Hunan Normal University,Changsha,China |
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Abstract: | 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-Al
x
Ga1−x
As heterojunction. The results are in good agreement with the existing experimental data. |
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Keywords: | |
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