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

✍ Scribed by Hai, Wenhua ;Li, Zejun ;Xiao, Kewen

• Book ID: 111489348
• Publisher: Walter de Gruyter GmbH
• Year: 2011
• Tongue: English
• Weight: 251 KB
• Volume: 9
• Category: Article
• ISSN: 2391-5471
• DOI: 10.2478/s11534-011-0069-5

✦ Synopsis

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-AlxGa1−x As heterojunction. The results are in good agreement with the existing experimental data.