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

• Autorzy: Wenhua Hai , Zejun Li , Kewen Xiao
• 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.

Słowa kluczowe

EN

quantum Hall effect; hydrogen pseudo-atom; band-like structure; exact pair state; 2D electron gas

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1509-1517

Daty

wydano

2011-12-01

online

2011-10-15

Twórcy

autor

Wenhua Hai

• 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

Zejun Li

• 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

Kewen Xiao

• 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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Identyfikatory

DOI

10.2478/s11534-011-0069-5