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Journal

2011 | 9 | 6 | 1509-1517

Article title

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

Content

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Languages of publication

EN

Abstracts

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.

Publisher

Journal

Year

Volume

9

Issue

6

Pages

1509-1517

Physical description

Dates

published
1 - 12 - 2011
online
15 - 10 - 2011

Contributors

author
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China
author
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China
author
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0069-5
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