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2011 | 9 | 6 | 1509-1517
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
9
Numer
6
Strony
1509-1517
Opis fizyczny
Daty
wydano
2011-12-01
online
2011-10-15
Twórcy
autor
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China, whhai2005@yahoo.com.cn
autor
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China
autor
  • Department of physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0069-5
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